Answers
I really think it's option A because it's more than 90° and less than 180°
Answer:
A
Step-by-step explanation:
An obtuse triangle is a triangle in which one of the interior angles measures more than 90° degrees
formula for finding obtuse triangle is 1/2 *base*height
Related Questions
Find the exact values of the sine, cosine, and tangent of the angle.
11
Answers
The exact values of the sine, cosine and tangent of 11 is 0.1908, 0.9816 and 0.1944 respectively.
What are Trigonometric Functions?Trigonometric functions are defined as the real functions which are simply the functions of an angle of a triangle. They are basically the periodic functions which relate an angle in a right angled triangle to the ratios of the length of two sides.
11 degrees can be represented in radians as 0.192
Sine of the angle 11 is,
sin (0.192) = 0.1908
Cosine of the angle 11 is,
cos (0.192) = 0.9816
Tangent of the angle 11 is,
tan (0.192) = 0.1908 / 0.9816 = 0.1944
Hence the trigonometric functions of 11 are sin (0.192) = 0.1908, cos (0.192) = 0.9816 and tan (0.192) = 0.1944.
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A table of ordered pairs is shown.
X
y
Which graph best represents these ordered pairs?
1
2
3
5
6
1
1
그를 2를 3를 5를 6를
Answers
A graph that best represents these ordered pairs is: C. Graph C.
What is an ordered pair?In Mathematics, an ordered pair is sometimes referred to as a coordinate and it can be defined as a pair of two (2) elements that are commonly written in a fixed order within parentheses as (x, y), which represents the x-coordinate (abscissa) and the y-coordinate (ordinate) on the coordinate plane of any graph such as the following:
Ordered pair = (1/2, 1).Ordered pair = (1, 2).Ordered pair = (1 1/2, 3).Ordered pair = (2, 4).Ordered pair = (2 1/2, 5).Since the values on the x-coordinate (abscissa) increases by 1/2 and the values on the y-coordinate (ordinate) increases by 1, the most appropriate scale 0.5:1, which is best represented by the data points in graph C.
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The perimeter of a rectangular garden is 64 centimeters. The length of the garden is 3 times the width. Find the length and the width.
Answers
Answer:
l=24, w=8
Step-by-step explanation:
64/2=32 for one length and one width
l=3w
l+w=32
3w+w=32
4w=32
w=8
8*3=24=l
calculate the average (as a double) of the values contained in the integer variables num1, num2, num3 and assign that average to the double variable avg.
Answers
double average = (double)(num1 + num2 + num3) / 3;
1. Declare and assign a double variable named avg
double avg;
2. Calculate the average of the variables num1, num2, num3 and assign that value to avg
avg = (double)(num1 + num2 + num3) / 3;
double avg; Declare and assign a double variable named avg
int num1, num2, num3; Declare three int variables
Assign values to the three int variables
num1 = 10;
num2 = 20;
num3 = 30;
Calculate the average of the three int variables and assign that value to the double variable avg
avg = (double)(num1 + num2 + num3) / 3; Typecast the result of the addition to a double to get the accurate value
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Find the standard deviation of the data set. (Do not round until the final answer. Round final answer to 1 decimal place.) You must do this problem without using the standard deviation capabilities of a calculator. Ages of Last 6 Presidents at Inauguration
George Bush
64
Bill Clinton
46
George W. Bush
54
Barack Obama
47
Donald Trump
70
Joe Biden
78
Answers
The mean of the data set is 58.3. The standard deviation of the data set is 10.8.
What is the standard deviation?In descriptive statistics, the standard deviation measures how widely the data points vary from the mean. It describes how values are distributed throughout the data sample and measures how widely apart data points are from the mean.
Sum of all values divided by the number of values.
Mean = ( 64 + 46 + 54 + 47 + 70 + 78 ) / 6
Mean = 58.3
The mean of the data set is 58.3.
The square root of the sum of the difference squared between each value and the mean is divided by the number of values subtracted by 1. So
[tex]\sigma =\sqrt{\dfrac{(X-\bar X)^2}{n- 1 }[/tex]
[tex]\sigma = \sqrt{\dfrac{(64 - 58.3)^2+(46 - 58.3)^2+(54 - 58.3)^2+(47-58.3)^2+(70-58.3)^2+(78-58.3)^2}{6-1}\\[/tex]
σ = 10.8
The standard deviation of the data set is 10.8.
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glenn wonders what proportion of the students at his school think that tuition is too high. he interviews an srs of 50 of the 2400 students at his college. thirty-eight of those interviewed think tuition is too high.
Answers
The parameter p is the population proportion, that is the proportion of the population that thinks the tuition is too high. POPULATION=Students at Glenn's school. (b). The numerical value of that estimates p is [tex]\hat{p}[/tex][tex]=\frac{38}{50} =0.76[/tex]. (c). Yes, the population is more than 10 times as large as the sample size.
(a). He conducts SRS interviews with 50 of his college's 2400 pupils. Of those surveyed, 38 believe that tuition is too costly.
The people under study make up the population.
POPULATION=Students at Glenn's school
The parameter p is the population proportion, that is the proportion of the population that thinks the tuition is too high.
This sample proportion can be used to estimate the true proportion of students in the entire population who think tuition is too high. However, it's important to note that the sample proportion is only an estimate and may not be exactly equal to the true population proportion. The level of precision of this estimate can be quantified using a confidence interval.
(b) The sample proportions is the number of people who think the dorm food is good divided by the sample size:
⇒[tex]\hat{p}=\frac{38}{50} =0.76[/tex]
(c). Yes, the population is larger than the sample size by more than 10 times.
⇒n[tex]\hat{p}[/tex]=38>10
⇒n(1-[tex]\hat{p}[/tex])=12>10 and the sample is a simple random sample.
Therefore, the POPULATION=Students at Glenn's school. The numerical value of that estimates p is [tex]\hat{p}=\frac{38}{50} =0.76[/tex]. Yes, the population is more than 10 times as large as the sample size.
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janet and her parents are going to visit scotsbury college, which is 420 miles from where they live. they plan to drive for 4.5 hours on the first day, then stop at a hotel for the night and complete the trip on the second day. they expect their average speed will be 60 miles per hour.
Answers
The equation to be used by Janet to predict number of hours is 60 (h + 4.5) = 420.
Firstly let us form the expression and then match with the provided options. So, the distance covered on first day and the distance covered on second day will be the sum of overall distance between original and target location. Now, we know, speed, distance and time are related to each other as -
speed = distance / time
So, distance covered on first day = 4.5 × 60
Distance covered on second day = 60 × h
Now, overall equation will form is -
60 × h + 4.5 × 60 = 420
Taking 60 common on Left Hand Side of the equation
60 (h + 4.5) = 420
We see the equation is same as fourth option, and hence, it is the correct answer.
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If the purchase price for a house is $218,500, what is the monthly payment if you put 3.5% down for a 30-year loan with a fixed rate of 6.5%?(use a dollar sign and round 2 decimal places)
Answers
The monthly payment is $1727.82.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Price of the house = $218,500
Down payment = 3.5%
This means,
= 3.5/100 x 218,500
= 7647.5
Now,
Time of loan = 30 years.
This means,
30 years = 30 x 12 = 360 months.
Now,
Rate = 6.5%
This means,
The amount of interest rate for 30 years.
Simple interest.
SI = PRT/100
So,
P = 218,500 - 7647.5 = 210852.5
T = 30
R = 6.5
SI = (210852.5 x 6.5 x 30)/100
SI = 411162.375
Now,
Total amount to pay in 30 years.
= SI + P
= 411162.375 + 210852.5
= 622014.875
Now,
Monthly payment.
= 622014.875 / 360
= $1727.82
Thus,
$1727.82 is the monthly payment.
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Determine the area of each composite figure. Round to the nearest tenth if necessary.
Answers
Answer:
169m^2
Step-by-step explanation:
8m x 8m =64m^2
(the area of square = side length x side length)
15m x 7m= 105m^2
(the area of parallelogram= length x height)
so the are of the figure is: 64m^2 + 105m^2= 169m^2
FizzBuzz and the Law of De Morgan In this setting, the universal set is the set of natural numbers from 1 to 32 {1, 2, 3, 4, ..., 32} Let T be the subset of numbers that are divisible by 3 and let F be the subset of numbers that are divisible by 5. (a) Write out the elements of each of the following sets: F, T, FC, TC (b) We will do a "proof by example" of De Morgan's Law i. Compute (FUT) ii. Compute FNT iii. Make an observation about the previous two calculations.
Answers
On solving the provided question we can say that - s and t be function subsets of a. show that x ∈ f(S) V f(T) ∈ f(y) as f(y) = x => x∈f(S)∨x∈f(T)
What is function?
One kind of rule is a function, which gives an output in exchange for an input. Alex Federspiel is the photo's source. In this instance, y=x2. I receive the output from something I placed in x in y. We may say that y is a function of x since x serves as the input value. A relation between a collection of inputs, each with an output, is referred to as a function. A function is a connection between inputs that each have precisely one output, to put it simply.
let S contains all elements that are the image of an element in f(s)
and let T contains all elements that are the image of an element inf(T)
f(y) ∈ f(s) V f(y)
x ∈ f(S) V f(T) ∈ f(y)
as f(y) = x
x ∈ f(S) ∨ x ∈ f(T)
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Andre and Noah started tracking their savings
Answers
This means that both Andre and Noah will save a total of $40 after his five months.
Andre's formula y = 5x +15
The intersection point is (5, 40)
Noah's equation
y = 7.5x + 2.5
x = number of weeks
y = savings
Andre's equation
y = 5x + 15
Find two points on each line
x=0
y=2.5
(0, 2.5)
x=0
y=1.5
(0,1.5)
y=0
x=-15/5=-3
(-3, 0)
draw a line through each point
The intersection point is (5, 40)
This means that both Andre and Noah will save a total of $40 after his five months.
About GraphGraph can be interpreted or defined as follows:
Graphics can be interpreted as an image or framework that originates from table data which is then used as a visualization object. Graphs are a collection of data sourced from several tables, then represented or displayed in the form of images, such as tubes, triangles, circles and so on. Graphs can also be defined as a picture of the ebb and flow of data that is depicted by lines or pictures.Learn more about graph at
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Round the numbers in each expression to the nearest whole number.
Then select the expression that can be estimated to 8.
A.
3
1
5
+
5
7
9
B.
1
5
8
+
5
2
5
C.
15
5
7
−
8
2
9
D.
10
1
4
+
1
11
15
Answers
Answer: A, and B
A) 894
B) 728
Step-by-step explanation:
Which of the following tables represents a linear relationship that is also proportional? x −3 0 3 y 0 2 4 x −4 −2 0 y −2 0 2 x −4 0 4 y 1 0 −1 x −1 0 1 y −5 −3 −1
Answers
A linear relationship represents by the table that is also proportional is x -4 -2 0 y -2 0 2.
What is linear relationship?A straight-line link between two variables is referred to statistically as a linear relationship (or linear association). Both a graphical representation of a linear relationship, in which the variable and constant are connected by a straight line, and a mathematical representation, in which the dependent variable is determined by multiplying the independent variable by the slope coefficient and a constant.
In given tables
(i) x -3 0 3
y 0 2 4
These are not in linear relationship nor in proportional because there is no relation between the value of x and y.
(ii) x -4 -2 0
y -2 0 2
These are in linear relationship and also in proportional because there is a relation between the value of x and y and the relation is y = x + 2.
(iii) x -4 0 4
y 1 0 -1
These are not in linear relationship nor in proportional because there is no relation between the value of x and y.
(iv) x -1 0 1
y -5 -3 -1
These are not in linear relationship nor in proportional because there is no relation between the value of x and y.
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A puffin leaves a cliff and flies 38 km due east then 54 km due north to an island.
Work out the bearing from the cliff to the island.
Give your answer to the nearest degree.
Answers
The bearing here is given as 54.89 degrees degrees
How to solve for the bearingThe distance that the puffin flies is 38 km due to the east
Then the distance is 54 km due to the north
We would have the height h = √(p²+b²)
We would have to solve this out such that :
=√54²+38²
h = 66.03 units
From here we would have to solve for sine θ
sin θ = 54 / 66.03
sine θ = 0.818
θ = sin ⁻¹0.818
= 54.89 degrees
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Calculate the absolute standard deviation and the coefficient of variation for the results of the following calculations. Round each result to include only significant figures. The numbers in parentheses are absolute standard deviations. *(a)y=log[2.00(±0.03)×10−4](b)y=log[4.42(±0.01)×1037]*(c)y=antilog[1.200(±0.003)](d)y=antilog[49.54(±0.04)]
Answers
To multiply 64 × 8.32 use the logarithm equation 2)㏒64 + ㏒8.32 and y=log[2.00(±0.03)×10−4] and hence option a is correct
To answer the question, we need to know what logarithm of a number is
What is the logarithm of a number?
The logarithm of a number x is the power to base 10 of that number.
So, logarithm of x to base 10 is written as ㏒x.
Since we want to multiply 64 × 83.2, we convert this to logarithmic equation using the addition rule of logarithm.
Addition rule of logarithm
㏒ab = ㏒a + ㏒b
So, 64 × 8.32 to logarithm is ㏒(64 × 8.32) = ㏒64 + ㏒8.32
So, to multiply 64 × 8.32 use the logarithm equation 2)㏒64 + ㏒8.32
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34,02 - (-38,3)=
what is the anwer?
Answers
to subtract a negative number from a positive is no different than adding 2 positives together.
The way i remember this is by looking at "-(-" and kind of squinting. If you squint hard enough, it kind of looks like a distorted +.
To solve this, just add them as if they were too positives.
One popular model had a front wheel with a 52 in. diameter and one spoke on the back wheel measuring 9 in. Hint: A bicycle spoke is a rod bl that connects the edge (rim) of a wheel to the center ot the wheel. Determine the diameter of the back wheel.
Determine the diameter of the back wheel.
Answers
The diameter of the back wheel is 163.68 inches.
What is diameter?Diameter is a straight line passing through the center of a circle, connecting two points on the circumference of a circle. It is the longest possible distance between any two points on the circle and is used to measure the size of a circle. The length of the diameter is twice the radius of the circle. The diameter is also the measure of the distance across a circle, rather than the circumference.
To do this, we first need to calculate the circumference of the front wheel, which is the distance around the edge of the wheel. The circumference of a circle is calculated using the formula C = π x D, where C is the circumference and D is the diameter. Therefore, the circumference of the front wheel is 3.14 x 52 = 163.68 inches.
Next, we need to divide the circumference of the front wheel by the number of spokes on the back wheel. Since there is only one spoke on the back wheel, we can divide the circumference of the front wheel by 1. Therefore, the diameter of the back wheel is 163.68 inches.
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A new social media site is increasing its user base by 3% per month. If the site currently has 37,490 users, how many users will there be in 8 months from now?
Answers
The number of users after 8 months is 47612.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 7 is an equation.
We have,
Percentage increase per month = 3%
Number of current users = 37,490
The equation for the number of users after x months.
y = 37,490 x [tex]1.03^x[/tex]
Now,
The number of users after 8 months.
= 37,490 x [tex]1.03^x[/tex]
= 37,490 x [tex]1.03^8[/tex]
= 37,490 x 1.27
= 47612.3
= 47612
Thus,
There will be 47612 users after 8 months.
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1. Find the future value F of the given principal under compound interest for the
time period and interest rate specified. Round your answer to the nearest cent.
t = 13 years, r= 2.75% compounded monthly
P= $12,000,
Answers
The future value F of the given principal under compound interest for the
time period and interest rate specified is $17,149.99.
What is compound interest?It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + r/n)^{nt}[/tex]
P = principal
R = rate
t = time in years
n = the number of times compounded in a year.
We have,
t = 13 years
r = 2.75%
Compounded monthly
This means,
n = 12
P = $12,000
Now,
A = P [tex](1 + r/n)^{nt}[/tex]
A = 12000 [tex](1 + 0.00229)^{156}[/tex]
A = $17,149.99
Thus,
The future value is $17,149.99.
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pls help and give an explanation :)
You mix 4/5 quart of blue paint for every 1/3 quart of red paint to make 3 2/5 quarts of purple paint. How much blue paint and how much red paint do you use?
Answers
The total amount of paint used is x + 12/5 * x = 17/5 * x quarts.
Since the total amount of paint used is 3 2/5 quarts, we have 17/5 * x = 3 2/5, which gives us x = 2/5 quarts of red paint.
So, the amount of blue paint used is 12/5 * 2/5 = 2 2/5 quarts.
Therefore, you use 2/5 quarts of red paint and 2 2/5 quarts of blue paint
Answer:
You would use one quart of red paint and 2.4 quarts of blue paint.
Step-by-step explanation:
You first want to make 3 2/5 into a decimal. To do that you multiply 3x5 and add 2 which equals 17/5. Then you divide 17 by 5 and you get 3.4. So, now you know that you want your blue paint plus your red paint to equal 3.4 So, add 4/5 and 1/3 which equals 1.13333333333. Multiply 1.13333333333 and 3 which equals 3.4. So use the equation (4/5+1/3)x3 and you'll get 3.4. This shows that everything that you do was right.Then multiply just 1/3 x 3 and you'll get your answer which is 1. Then multiply just 4/5 x 3 and you'll get 2.4.
Drag all of the division problems that have an estimated quotient of 12 into the box.
Answers
A division problem that have an estimated quotient of 12 is: C. 47.6 ÷ 3.9.
What is a quotient?In Mathematics, a quotient can be defined as a mathematical expression that is typically used for the representation of the division of a number by another number.
This ultimately implies that, a quotient in terms of numerical data simply refers to a division of a number (numerator) by another number (denominator).
Quotient = 8 ÷ 0.95 = 8.42
Quotient = 18 ÷ 2.2 = 8.18.
Quotient = 47.6 ÷ 3.9 = 12.21 ≈ 12.0.
Quotient = 10.6 ÷ 1.89 = 5.61.
Quotient = 71.9 ÷ 6.5 = 11.06.
Quotient = 123.4 ÷ 9.2 = 13.41.
Quotient = 157.4 ÷ 16.4 = 9.60.
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using the sample statistics information from spss output, calculate a 95% confidence interval for the mean chromatic contrast of crab spiders on daisies. interpret the result.
Answers
In order to calculate a 95% confidence interval for the mean chromatic contrast of crab spiders on daisies, you would need to have the sample mean and standard deviation of the chromatic contrast data.
Additionally, you would need to know the sample size. With this information, you could use a t-distribution or a normal distribution to calculate the confidence interval. Once the confidence interval is calculated, it can be interpreted as a range of values that you can be 95% confident contains the true population mean chromatic contrast of crab spiders on daisies. The confidence interval takes into account both the variability of the data and the sample size, and gives a range of values that is likely to contain the population mean with a certain degree of confidence.
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Special right triangles
Answers
x = 13
y = 13√2
Step-by-step explanation:Special right triangles are right triangles with specific angle measurements whose side lengths follow a certain pattern.
45-45-90 Triangle
A 45-45-90 special right triangle is a triangle that has two 45-degree angles and one 90-degree angle. Remember that in a right triangle, the two shorter sides are called the legs. Additionally, the longest side that is directly across from the right angle is the hypotenuse. In a special right triangle, the legs are equal. Additionally, the hypotenuse is √2 times the leg length. So, if x is the leg, then the hypotenuse is x * √2.
Solving For x and y
In the problem above, x represents one of the legs and y is the hypotenuse. Since this is a 45-45-90 triangle we know that the legs are equal, and one of the legs is 13 units. So, x must equal 13 as well. Then, we know that y must equal x * √2. So, y equals 13√2. This radical cannot be simplified any further, so the final answers are:
x = 13y = 13√2What is the solution for the problem on the attachment?
Answers
The value of the variable 'x', 'y', and 'z' will be -6, -9, and -1, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The equations are given below.
x - y - z = 4
z = x - y - 4 ....1
3x - 2y = 0
y = 1.5x ....2
-2x + 4y + 4z = - 28 ....3
From equations 1, 2, and 3, then we have
-2x + 4(1.5x) + 4(x - 1.5x - 4) = - 28
- 2x + 6x + 4x - 6x - 16 = - 28
2x = - 12
x = -6
Then the value of 'y' is given as,
y = 1.5(-6)
y = - 9
Then the value of 'z' is given as,
z = - 6 - (-9) - 4
z = - 10 + 9
z = -1
The value of the variable 'x', 'y', and 'z' will be -6, -9, and -1, respectively.
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the Richardson family
Answers
The amount of tip is $ 6.40 and the total amount including the tip is given by the equation A = $ 38.40
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 total amount including the tip for family be A
Now , the equation will be
The total amount of the bill without the tip = $ 32.00
The percentage of tip = 20 %
So , the amount of tip is = percentage of tip x total amount of the bill without the tip
Substituting the values in the equation , we get
The amount of tip is = ( 20/100 ) x 32
The amount of tip is = $ 6.40
Now , the total amount including the tip A = total amount of the bill without the tip + amount of tip
Substituting the values in the equation , we get
The total amount including the tip A = $ 32.00 + $ 6.40
The total amount including the tip A = $ 38.40
Hence , the equation is A = $ 38.40
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what is 4x+y=5 i need help
Answers
Answer:
This equation is not complete please
Or it is a simultaneous linear equation
Answer:
[tex]4x + y = 5[/tex]
[tex]4x + y - y = 5 - y[/tex]
[tex]4x = 5 - y[/tex]
[tex] \frac{4x}{4} = \frac{5 - y}{4} [/tex]
[tex]x = \frac{5 - y}{4} [/tex]
Please help! space space sppace!
Answers
Answer:
C
Step-by-step explanation:
Total Cups in Boxes:
18
36
54
66
72
84
Total Numer of Boxes: 3
6
9
1.) How many boxes are needed for 66, 72, and 84 cups?
Answers
Answer:
Step-by-step explanation:
For 66 cups, 9 boxes are needed.
For 72 cups, 9 boxes are also needed.
For 84 cups, 9 boxes are also needed.
In each of the following cases, find an interval that contains approximately 95.44 percent of all the possible sample proportions (a) p=.5, n= 250 (Round your answers to 4 decimal places Do not round any intermediate calculations)
Answers
We can use the normal approximation to the binomial distribution to find the interval that contains approximately 95.44 percent of all the possible sample proportions when p=.5 and n=250.
The mean of the distribution of sample proportions is equal to the population proportion (p), which is 0.5 in this case. The standard deviation of the distribution is given by:
σ = sqrt(p(1-p) / n) = sqrt (0.5 * 0.5 / 250) = sqrt (0.0002) = 0.014
Using a z-score of 1.96 to correspond to a confidence level of 95.44 percent (since the standard normal distribution has a proportion of approximately 0.9544 within 1.96 standard deviations of the mean), we find the lower and upper bounds of the interval:
lower bound = p - zσ = 0.5 - 1.96 * 0.014 = 0.471
upper bound = p + zσ = 0.5 + 1.96 * 0.014 = 0.529
Therefore, the interval that contains approximately 95.44 percent of all the possible sample proportions is (0.471, 0.529).
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Zariah's dash times for her first four races were 14, 13.4, 12.8, and 12.2 . Assuming race times will decrease at the same rate. Write an equation for the arithmetic sequence (Hint: find the first term and the common difference first.)
Answers
An equation for the arithmetic sequence is aₙ=14.6-0.6n.
What is an arithmetic sequence?An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is aₙ=a+(n-1)d.
Given that, Zariah's dash times for her first four races were 14, 13.4, 12.8, and 12.2.
Here, first term (a)=14 and common difference (d)= 13.4-14= -0.6
Now, aₙ=14+(n-1)×(-0.6)
aₙ=14-0.6n+0.6
aₙ=14.6-0.6n
Therefore, an equation for the arithmetic sequence is aₙ=14.6-0.6n.
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