The actual distance between Spice Island and Kay Island is 85 miles.
What do you mean by distance?Distance is a numerical measurement of how far apart two points or objects are. In mathematics, distance is often used in geometry to describe the length of a line segment connecting two points in a given space. It can also be used to describe the difference between two quantities or values. In physics, distance is a scalar quantity that measures the amount of space between two objects. It is often used to describe the separation between two points in a given direction.
There are various ways to calculate distance, depending on the type of space and the number of dimensions involved. In a one-dimensional space, such as a number line, distance can be calculated as the absolute value of the difference between two points. In a two-dimensional space, such as a plane, distance can be calculated using the Pythagorean theorem. In a three-dimensional space, such as our physical universe, distance can be calculated using the Euclidean distance formula.
Distance is an important concept in many fields, including mathematics, physics, engineering, computer science, and economics. In transportation and logistics, distance is used to determine the time and cost of moving goods and services from one location to another. In sports, distance is used to describe the length of a race or the distance traveled by a projectile.
If the scale on the map is 1 inch = 25 miles, this means that 1 inch on the map represents 25 miles in real life. To find the actual distance between the two islands, we need to multiply the distance on the map by the scale factor. So, the actual distance between the two islands is:
3.4 inches * 25 miles/inch = 85 miles
So the actual distance between Spice Island and Kay Island is 85 miles.
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(4) In 2018, Apple had the largest profit of any company in the United States. They made
$48,351,000,000. One of the largest losses of any company during one year was AOL Time Warner in
2002, which lost $123,160,000,000. Write and evaluate a subtraction expression to find the difference
between Apple's 2019 profits and AOL Time Warner's 2002 losses.
I
I
I
I
1
The value of the equation is A = - $ 74,80,90,00,000
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
The profit of Apple in 2018 P = $ 48,351,000,000
The loss of AOL Time Warner in 2002 L = $ 123,160,000,000
So , the difference between between Apple's 2019 profits and AOL Time Warner's 2002 losses is A
A = P - L
Substituting the values in the equation , we get
A = $ 48,351,000,000 - $ 123,160,000,000
On simplifying the equation , we get
A = - $ 74,80,90,00,000
Hence , the equation is A = - $ 74,80,90,00,000
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the trace of a matrix is the sum of its diagonal elements. a for any two matrices a and b, show that trace (a b) trace a trace b. b for any two matrices a and b for which the products ab and ba are defined, show that trace ab trace ba.
The trace of any two matricess A, B is tr(AB)=tr(A)+tr(B) and tr(AB)=tr(BA).
a) Let A and B be two matrices with dimensions [tex]$n \times n$[/tex]. Then the trace of a matrix is defined as the sum of its diagonal elements, so the trace of A can be written as [tex]$\text{tr}(A) = \sum\limits_{i=1}^n A[i,i]$[/tex] and the trace of B can be written as [tex]$\text{tr}(B) = \sum\limits_{i=1}^n B[i,i]$[/tex].
The product of matrices A and B is a matrix C with dimensions [tex]$n \times n$[/tex], where [tex]$C[i,j] = \sum\limits_{k=1}^n A[i,k] B[k,j]$[/tex].
The trace of the product of matrices A and B can be written as [tex]$\text{tr}(AB) = \sum\limits_{i=1}^n (AB)[i,i] = \sum\limits_{i=1}^n \sum\limits_{k=1}^n A[i,k] B[k,i] = \sum\limits_{k=1}^n A[k,k] B[k,k]$[/tex].
By the distributive property of multiplication, [tex]$\text{tr}(AB) = \sum\limits_{k=1}^n A[k,k] B[k,k] = (\sum\limits_{k=1}^n A[k,k]) + (\sum\limits_{k=1}^n B[k,k]) = \text{tr}(A) + \text{tr}(B)$[/tex].
So, we have shown that [tex]$\text{tr}(AB) = \text{tr}(A) + \text{tr}(B)$[/tex].
b) Let A and B be two matrices for which the products AB and BA are defined. Then the trace of the product AB can be written as [tex]$\text{tr}(AB) = \sum\limits_{i=1}^n (AB)[i,i]$[/tex]
and the trace of the product BA can be written as
[tex]$\text{tr}(BA) = \sum\limits_{i=1}^n (BA)[i,i]$[/tex].
By definition, the elements of the matrices AB and BA are given by [tex]$(AB)[i,j] = \sum\limits_{k=1}^n A[i,k] B[k,j]$[/tex] and [tex]$(BA)[i,j] = \sum\limits_{k=1}^n B[i,k] A[k,j]$[/tex],
respectively. By switching the order of summation, we have [tex]$\text{tr}(AB) = \sum\limits_{i=1}^n \sum\limits_{k=1}^n A[i,k] B[k,i] = \sum\limits_{k=1}^n \sum\limits_{i=1}^n A[i,k] B[k,i] = \text{tr}(BA)$[/tex].
So, we have shown that [tex]$\text{tr}(AB) = \text{tr}(BA)$[/tex].
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$g$ is the centroid of equilateral $\triangle abc.$ $d$, $e$, and $f$ are midpoints of the sides as shown. $p$, $q$, and $r$ are the midpoints of $\overline {ag}$, $\overline {bg}$, and $\overline {cg}$, respectively. if $ab
The coordinates of the centroid of the given triangle can be found by using the midpoint formula to calculate the coordinates of points P, Q, and R, and then taking the average of the x-coordinates and y-coordinates of these points.
The centroid of a equilateral triangle can be found by drawing the medians of the triangle. The median of a triangle is a line segment connecting a vertex of the triangle to the midpoint of the opposite side. The three medians of an equilateral triangle intersect at the centroid. In this scenario, the centroid of the given triangle is point G.
The midpoints of the sides of the triangle are points D, E, and F. The midpoints of the medians of the triangle are points P, Q, and R. The coordinates of the points can be found using the midpoint formula. The midpoint formula states that the coordinates of the midpoint of a line segment is the average of the x-coordinates and the average of the y-coordinates of the endpoints of the line segment.
The coordinates of the centroid, G, can be found by taking the average of the x-coordinates and y-coordinates of the midpoints of the medians. The x-coordinate of G is the average of the x-coordinates of P,Q, and R, and the y-coordinate of G is the average of the y-coordinates of P,Q, and R.
Finally, the coordinates of the centroid of the given triangle can be found by using the midpoint formula to calculate the coordinates of points P, Q, and R, and then taking the average of the x-coordinates and y-coordinates of these points.
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Complete question:
What is the area of the square with vertices [tex]$d$, $p$, $q$[/tex] ?
the grpah displays the distance Wes;ey was from home s he rain in preparation for his cross - country meet. Describe the change in distance over time
The description of the change in distance over time is;
He ran further away from home, then sped up and went further. He then
slowed down, still going further from home. He then turned
around and headed home.
How to Interpret a Distance Time Graph?A distance-time graph is defined as a graph that shows how far an object has travelled in a given time. It is a simple line graph that denotes distance versus time findings on the graph. Distance is plotted on the y-axis. Time is plotted on the x-axis.
From the attached graph, we see that Wesley ran further away from home, and then he sped up and went further in the journey. He then
slowed down, and still going further from home. Finally, he turned
around and headed home.
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A 15-meter by 23-meter garden is divided into two sections. Two sidewalks run along the diagonal of the square section and along the diagonal of the smaller rectangular section.
A rectangle is shown. The length of the top and bottom sides is 23 meters. The length of the left and right sides is 15 meters. A vertical line is drawn from the top to bottom side to split the shape into a square and a rectangle. Lines are drawn from the bottom left point to the top of the vertical line and from the bottom right point to the top of the vertical line.
What is the approximate sum of the lengths of the two sidewalks, shown as dotted lines?
21.2 m
27.5 m
32.5 m
38.2 m
Answer:
Option D) 38.2
Solution
1) The square section
The side length of the square is 15m.
You can use Pythagoras's theorem to find the length of the diagonal:
Diagonal ^2 = (15m)^2 + (15m^2) = 450 m^2
=> Diagonal = √(450m^2) = 21.21m
2) The small rectangle section
The sides of this rectangle are 23 - 15 = 8 m and 15 m
Now use the Pythagoras's theorem:
diagonal^2 = (8m)^2 + (15m)^2 = 289 m^2 =>
diagonal = √(289m^2) = 17 m
3) Then the sum of the lengths of the diagonals of the two sections is 17m + 21.21 m = 38.21
Answer: 38.21 m
run the strongly connected components algorithm on the following directed graphs g. when doing dfs on gr: whenever there is a choice of vertices to explore, always pick the one that is alphabetically first.
The strongly connected components of graph g are then determined to be the set of vertices {A, B, C, D, E}. This is because each vertex is reachable from every other vertex in the graph.
Graph g:
A→B
B→C
C→D
D→E
E→A
The strongly connected components algorithm is used to determine the strongly connected components of a directed graph. A strongly connected component is a subgraph of a directed graph in which every vertex is reachable from every other vertex.
The algorithm begins by running a depth-first search (DFS) on the graph. When running DFS on graph g, we start at vertex A and explore all its adjacent vertices before moving to the next vertex. In this case, we explore vertex B first. We then explore vertex C, followed by D and E. Finally, we explore vertex A again before finishing the DFS.
Once the DFS is complete, the algorithm then computes the transpose of the graph. The transpose of a graph is the graph with all the edges reversed. For graph g, this would be A←B, B←C, C←D, D←E, and E←A.
Finally, the algorithm runs a second DFS on the transpose of the graph. Since the edges are reversed, we start at vertex A and explore its adjacent vertices in reverse order. In this case, we explore vertex E first, followed by D, C, B, and finally A.
The strongly connected components of graph g are then determined to be the set of vertices {A, B, C, D, E}. This is because each vertex is reachable from every other vertex in the graph.
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find the volume of the solid formed by rotating the function about the x-axis. round to four decimal places.
The volume of the solid formed by rotating the function f(x)=x about the x-axis from x=0 to x=1 is equal to the integral of the area of the cross-section of the solid from x=0 to x=1. The area of the cross-section is equal to the area of a circle with radius x, which is equal to πx. Thus, the volume of the solid is equal to the integral of πx from x=0 to x=1.
This integral can be solved using the formula for the area of a circle, which is equal to πr. Thus, the volume of the solid is equal to π∫x dx from x=0 to x=1. After solving the integral, the volume of the solid is equal to π/3. Thus, the volume of the solid formed by rotating the function f(x)=x about the x-axis from x=0 to x=1 is equal to 0.3333.
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1. which of the following initializes an 8 x 10 matrix with integer values that are perfect squares? (0 is a perfect square.) int[][] mat
B. II only. This initializes an 8 X 10 matrix with integer values that are perfect squares by looping through the rows and columns of the matrix and setting each element equal to the row number multiplied by itself.
II initializes an 8 X 10 matrix with integer values that are perfect squares. The initialization starts by declaring the matrix with the line int [][] mat = new int [8][10]; which creates the 8 X 10 matrix. The next step is to use a nested for loop to loop through the rows and columns of the matrix. The first loop, for(int r=0; r<mat.length; r++), begins by setting an integer variable r to 0 and looping through all of the rows in the matrix. The second loop, for(int c=0; c<mat[r].length; c++), begins by setting an integer variable c to 0 and looping through all of the columns in the matrix. Finally, the last line, mat[r][c] = r*r;, sets each element of the matrix equal to the row number multiplied by itself. This ensures that the values in the matrix are all perfect squares.
The complete question : Which of the following initializes an 8 X 10 matrix with integer values that are perfect squares? (0 is a perfect square.)
I. int [][] mat = new int [8][10];
II. int [][] mat = new int [8][10];
for (int r=0; r<mat.length; r++){
for(int c=0; c<mat[r].length; c++){
mat[r][c] = r*r; }}
III. int [][] mat = new int [8][10];
for (int c=0; c<mat[r].length; c++){
for(int r=0; r<mat.length; r++){
mat[r][c] = c*c; }}
A. I only
B. II only
C. III only
D. I and II
E. I, II, and III
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math. please. help. me. quickly.
Answer:
no clue
Step-by-step explanation i cant help you with this and i just tying to get points
Incomplete steps in the construction of a circumscribed circle are shown. Drag the correct words to each box to complete the steps Drag and drop an answer choice into each empty box below. sides angles
incenter
vertices
circumcenter
angle bisectors perpendicular bisectors Step 1: Create ___ of the triangles. Step 2: They will intersect at the ___ Step : Draw a circle with the center at the point obtained in step ___ and touching the ___ of the triangle.
Construction of a circumscribed circle mainly includes three steps.
A circumscribed circle is a circle that passes through all the vertices of a polygon. The center of the circumscribed circle is equidistant from all the vertices of the polygon, making it the largest circle that can be drawn around the polygon.
In order to construct a circumscribed circle for a given polygon, we follow a given set of steps.
Step 1: Create perpendicular bisector of the sides of the triangles.
Step 2: They will intersect at the circumcenter.
Step 3: Draw a circle with the center at the point obtained in step 2 and touching the sides of the triangle.
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Answer the questions
The triangles ∆ABC and ∆BMK are similar triangles, and ∆ABC ≅ ∆BMK. The perimeter of the quadrilateral ACKB is equal to 74 feet.
What are similar trianglesSimilar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.
We have that line AC of the triangle ∆ABC is parallel to line BK of the triangle ∆BMK and also line CB of the triangle ∆ABC is parallel to line KM of the triangle ∆BMK which implies that lines AB and BM are of equal distance. Given that B is the midpoint of AM. We can conclude that triangles ∆ABC and ∆BMK are similar triangles.
Since ∆ABC is an equilateral triangle, then all the sides of the quadrilateral ACKB are equal and its perimeter is calculated as:
18.5 feet × 4 sides of the quadrilateral = 74 feet.
In conclusion, the triangles ∆ABC and ∆BMK are similar triangles, and ∆ABC ≅ ∆BMK. The perimeter of the quadrilateral ACKB is equal to 74 feet.
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Game Over Electronics has made $18,500 in profit so far this year. The company expects the
profit during the rest of the year to be 19% of its revenue. You can use a function to estimate
the total profit this year if the revenue from now through the end of the year is x dollars.
Write an equation for the function. If it is linear, write it in the form h(x) = mx + b. If it is
exponential, write it in the form h(x) = a(b)*.
An equation for the profit function is expressed as; h(x) = 0.19x + b
How to solve Function Word Problems?The parameters in the given problem are;
Amount of profit made so far this year = $18500
The revenue from now through the end of the year = $x
Percentage profit for the rest of the year = 19%
Since profit made so far is $18500, then that will be regarded as the y-intercept from the linear equation form;
y = mx + b
Now, 19% profit will be regarded as the slope. Thus, the equation for the function is;
h(x) = 0.19x + b
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Consider the system of equations. Which is the Best method to use for solving the system? 4x+y=1 2x+y=8
The best solution is to use the elimination method. The best approach to utilize is the elimination technique while trying to solve a problem 4x+y=1 2x+y=8.
What is the process of elimination?First-order kinetics of elimination Elimination of a fixed portion of the drug amount existing in the body per unit of time. The fraction of elimination to drug concentration.
4x + y = 1 --------(1)
2x + y = 8---------(2)
subtract (2) from (1)
2x = -7
divide bothside by 2
2x/2 = -7/2
x= -7/2
we can substitute x = -7/2 in any of the equations.
Lets take equation (1)
4x + y = 1
4(-7/2) + y =1
2(-7) + y = 1
-14 + y = 1
y = 1+14
y =15
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a box of candy hearts contains 52 hearts, of which 19 are white, 10 are tan, 7 are pink, 3 are purple, 5 are yellow, 2 are orange, and 6 are green. if you select nine pieces20 chapter 1 probability of candy randomly from the box, without replacement, give the probability that (a) three of the hearts are white. (b) three are white, two are tan, one is pink, one is yellow, and two are green.
(a) Probability(3 white) = (19/52) * (18/51) * (17/50) = 0.027
(b) P(3 white, 2 tan, 1 pink, 1 yellow, 2 green) = (19/52) * (18/51) * (17/50) * (10/49) * (9/48) * (7/47) * (5/46) * (6/45) * (6/44) = 0.00004
(a) The probability of selecting three white hearts is calculated by multiplying the probability of selecting each heart. The probability of selecting one white heart is 19/52. The probability of selecting two white hearts is 18/51, and the probability of selecting three white hearts is 17/50. When multiplied together, the overall probability is 0.027.
(b) The probability of selecting three white hearts, two tan hearts, one pink heart, one yellow heart, and two green hearts is calculated by multiplying the individual probabilities for each heart. The probability of selecting one white heart is 19/52, the probability of selecting two tan hearts is 10/49, the probability of selecting one pink heart is 7/47, the probability of selecting one yellow heart is 5/46, and the probability of selecting two green hearts is 6/45. When multiplied together, the overall probability is 0.00004.
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Evaluate
a*b= a+b -2ab
(2*3)*5
The solution to the algebraic expression (2*3)*5 using a*b= a+b -2ab is; 68
How to solve Algebraic Expressions?Algebraic expressions are defined as the idea of expressing numbers using letters or alphabets without truly specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as a, b, c etc. These letters are usually referred to as variables.
We are given the format for the algebraic expression as;
a*b = a + b - 2ab
Thus, we can solve the expression (2*3)*5 as;
(2*3) = 2 + 3 - 2(2*3)
= -7
(-7 * 5) = -7 + 5 - 2(-7 * 5)
= -2 + 70
= 68
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Question2_=) 6th grade math please help (only answer if you know the answer don't guess PELASEE) Marking brainlist!! QUESTION WORTH 60 POINT!!
Which of the following is the distance between the two points shown?
A graph with the x-axis starting at negative 4, with tick marks every one-half unit up to 4. The y-axis starts at negative 4, with tick marks every one-half unit up to 4. A point is plotted at negative 3, 0 and at 0.5, 0.
2.5 units
3.5 units
−3.5 units
−2.5 units
Answer:
see below
Step-by-step explanation:
the direct distance between the 2 points should be √9.25 = 3.04, but there's no such answer, so I guess they are making you count the units. By definition the distance cannot be negative. so it should be 3.5.
However, if this 6th grade math question is testing you on your understanding of the direction of x axis then because a point is plotted at -3 on the axis (cause it's Y value =0), then its distance to (0,0) is -3, and then you go up 0.5 to the next point. With that said, whether you should add the -3+0.5 = -2.5 that'll depend on the teacher or the textbook - not exactly sure what they are trying to test you on. it's a very vague question.
(Systems of Linear Equations MC)
A customer at a shipping store is planning to send a package and is considering two options. The customer can send a package for $4, plus an additional $2 per pound. The cost, y, can be represented by the equation y = 4 + 2x, where x represents the amount of pounds of the package. Another option is that the customer can pay a one-time fee of $12 to send the box, represented by the equation y = 12.
Based on the graph of the system of equations, when will the cost of the two shipping options be the same?
A package that weighs 4 pounds will cost $12 for both options.
A package that weighs 8 pounds will cost $12 for both options.
A package that weighs 12 pounds will cost $20 for both options.
A package that weighs 12 pounds will cost $28 for both options.
Based on the graph of the system of equations, the cost of the two shipping options would be the same when: A. A package that weighs 4 pounds will cost $12 for both options.
How to determine when the cost of the two shipping options would be the same?Based on the information provided above, the customer sent a package for $4 with an additional $2 per pound. The total cost, y, can be represented by this equation:
y = 4 + 2x ....equation 1.
where:
x represents the amount of pounds of the package.
For the second option, the total cost can be represented by this equation:
y = 12 ....equation 1.
By equating equation 1 and equation 2, we have the following:
12 = 4 + 2x
2x = 12 - 4
2x = 8
x = 4.
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Answer:
A. A package that weighs 4 pounds will cost $12 for both options.
Step-by-step explanation:
Which statement is true?
Answer: 1/3=4/12 is true
Step-by-step explanation:
the others are false because 6/12 is smaller than 2/3, 8/12 is greater than 2/3 and 1/3 is equal to 4/12 not less than.
Suppose the probability that an individual has blue eyes is 0.41. Four people are randomly selected Find the probability P that exactly tYpo have blue eyes Round your answer to four decimal places.
The probability P that exactly has blue eyes is P = 0.1887
The probability of exactly t people having blue eyes can be calculated using the binomial distribution formula. The binomial distribution models the number of successes in a fixed number of independent trials, where each trial has the same probability of success.
In this case, the number of trials is 4, the probability of success is 0.41 (the probability of an individual having blue eyes), and the number of successes is the number of people with blue eyes. Plugging in these values into the binomial distribution formula gives us the probability of exactly t people having blue eyes.
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Giving a test to a group of students, the grades and gender are summarized below
A B C Total
Male 12 10 17 39
Female 2 19 3 24
Total 14 29 20 63
If one student was chosen at random,
find the probability that the student got a B.
You can use the equation A =(HW/3600)^1/2
to approximate a person's body surface area A (in square meters), where H
is height (in centimeters) and W is weight (in kilograms). Approximate the body surface area of a person with a height
of 160 centimeters and a weight of 64 kilograms.
Body surface area:______
m²
The body surface area is given by the equation A = 1.6865 m²
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the body surface area be represented as A
Now , the equation will be
A = ( HW / 3600 )^1/2
A = √( HW / 3600 ) be equation (1)
where H is the height in centimeters and W is the weight in kilograms
Now , the value of H = 160 cm
The value of W = 64 kg
Substituting the values in the equation , we get
A = √ [ ( 160 x 64 ) / 3600 ]
On simplifying the equation , we get
A = √ ( 10240/3600 )
A = √ ( 2.8444 )
A = 1.6865 m²
Therefore , the body surface area is 1.6865 m²
Hence , the equation is A = 1.6865 m²
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__________: a high school counselor uses a computer to generate 50 random numbers and then picks students whose names correspond to the numbers.
I think what you are looking for is:
Random Selection Method
Following example 1, to find the area of an isosceles triangle with height 4 cm and width 8 cm, we could use horizontal slices:
a slice at height ℎ has width =
so that we may find the area by integratingDu(answer) ????ℎdh, with
a=
????=
The area of the triangle is 32 [tex]cm^2.[/tex]We can use horizontal slices to find the area of any two-dimensional shape.
We can use horizontal slices to find the area of the isosceles triangle with height 4 cm and width 8 cm. We set a slice at height h and determine the width of the slice, which is 8 cm. We then integrate the area of the slice (width x height) with respect to h, from 0 to 4 cm. This gives us the area of the triangle, which is 32[tex]cm^2[/tex].
We can use horizontal slices to find the area of any two-dimensional shape. We set a slice at a given height h, and determine the width of the slice. We then integrate the area of the slice (width x height) with respect to h, from the lower boundary of the shape to the upper boundary. This gives us the area of the shape. For example, to determine the area of an isosceles triangle with height 4 cm and width 8 cm, we would set a slice at height h and determine the width of the slice, which is 8 cm. We then integrate the area of the slice (width x height) with respect to h, from 0 to 4 cm. This gives us the area of the triangle, which is 32 [tex]cm^2.[/tex]
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Indefinite integral of cos(x) sin(x) dx
The solution of the indefinite integral ∫ sin x cos x dx is (1 / 2) · sin² x + C.
How to determine the indefinite integral by algebraic substitution
There are integrals that can be solved by means of algebraic substitutions, which simplifies the expression and allow a quicker solution. Now we proceed to find the solution. First, define algebraic subtitution:
u = sin x
du = cos x dx
Second, simplify the integral by formulae defined in the previous step:
∫ sin x cos x dx
∫ u du
Third, integrate the resulting expression:
(1 / 2) · u² + C, where C is the integration constant.
Fourth, reverse the algebraic substitution:
(1 / 2) · sin² x + C
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(50 POINTS AND BRAINLYEST GURANTEE)
Find the area of the following shape. Make sure to indicate what shapes were used, by sketching on the image, listing
formulas, and show work listed for each shape. (5 total points – 2 for accurate shapes, 2 for accurate work, 1 for total
area answer)
Answer:
53.137 (sq.units).
Step-by-step explanation:
1. to draw red line in order to divide the given shape by two figures;
2. the required area consists of two: green - area of semicircle with radius r= 3 and blue - area of trapezoid with bases 8 and 5 and height 6. Then
3. the required area is
A=A(semicircle)+A(trapezoid);
A≈0.5*3.1415*3²+0.5*(8+5)*6=0.5*(28,274+78)=53.137
Answer:
53.137 sq.units also its a explanation for this answer
Step-by-step explanation:
the sq.untits would be a 53.137 hope this helps!
Allie planned to spend up to $120 on a gaming mouse and headset. She spent $49.95 on a mouse. Then, she bought a headset that put her over her budget. Let x represent the cost of the headset. Which inequality describes the problem?
The inequality that describes the problem is,
⇒ x + $49.95 < $120
Where, x represent the cost of the headset.
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
We have to given that;
Allie planned to spend up to $120 on a gaming mouse and headset. She spent $49.95 on a mouse.
Let x represent the cost of the headset.
Hence, We can formulate;
The inequality that describes the problem is,
⇒ x + $49.95 < $120
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s) a real number is repeatedly selected uniformly over the interval [0, 1] until the sum of all numbers chosen exceeds 1. what is the expected value of the count of numbers that are select
Since the sum of the numbers selected must exceed 1, we know that n must be at least 1. Therefore, the expected value of X is finite and is equal to 2.
The expected value of the count of numbers that are selected can be found using the geometric distribution, since it models the number of trials until a success occurs.
Let X be the number of numbers that are selected until the sum of all numbers exceeds 1. Then X has a geometric distribution with parameter p, where p is the probability of success on each trial, i.e. the probability that the sum of all numbers selected does not exceed 1.
Since the numbers are selected uniformly over [0, 1], the probability of success on each trial is given by the area under the curve between 0 and 1 after the first number is selected.
On the first trial, the probability of success is 1. On the second trial, the probability of success is the area under the curve between 0 and (1 - the first number selected).
On the third trial, the probability of success is the area under the curve between 0 and (1 - the sum of the first two numbers selected), and so on.
The expected value of X can be found using the formula for the expected value of a geometric distribution:
E(X) = 1/p
Since the expected value of the sum of n independent and identically distributed uniform [0, 1] random variables is n/2, we can use this to find p:
E(X_1 + X_2 + ... + X_n) = n/2
where X_1, X_2, ..., X_n are the n numbers selected.
So, p = 1 / (1 + n/2).
Finally, we can substitute this into the formula for E(X) to find the expected value of X:
E(X) = 1 / (1 - n/2) = 2 / (2 - n)
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using a scale of 1 inch = 2 feet and wing of airplane is 24 feet how long is the wing
The length of the wing is, 12 inches.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
We have to given that;
The scale is,
⇒ 1 inch = 2 feet
And, Wing of airplane is 24 feet.
Now, We have;
The scale is,
⇒ 1 inch = 2 feet
Hence, The length of wing is,
⇒ 24 / 2 inches
⇒ 12 inches
Thus, The length of the wing is, 12 inches.
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For the right triangle below, find the measure of the angle. Round to the hundredths. (2 decimal places
Answer:
please take a picture of the triangle so I can help you.
A model airplane is built with a wing span of 18 inches. The actual wing span of the airplane is 90 feet. Find the scale.
The scale of the model airplane is 5 feet : 1 inch
How to determine the scale of the modelThe scale of the model airplane can be found by dividing the actual wing span by the model wing span
So, we have the following representation
Scale = 90 feet/18 inches
Evaluate the quotient
So, we have the following representation
Scale = 5 feet/inches
Express as ratio
Scale = 5 feet : 1 inch
So, the scale of the model airplane is 5 feet : 1 inch
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