A plane leaves the airport and travels east for 2.5 hours at a speed of 240 miles per hour. It then travels south for 500 miles. a)Calculate the distance of the plane from the airport. b)Calculate the bearing of the plane from the airport.
a) The distance of the plane from the airport is approximately 781.025 miles.
b) The bearing of the airplane in standard position is approximately 320.194°.
How to calculate the distance and the bearing of the bearing from the airport
Let the location of the airport be the origin and the orthogonal axes are oriented to the east and north, respectively. Beside, let consider that the plane moves at constant speed. a) Thus, the distance of the plane can be found by using the Pythagorean Theorem:
d = √[[(240 mi / h) · (2.5 h)]² + (500 mi)²]
d ≈ 781.025 mi
b) And the bearing in standard position is determined by the following inverse trigonometric function:
θ = tan⁻¹ [(- 500 mi) / [(240 mi / h) · (2.5 h)]]
θ ≈ 320.194°
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We can calculate the depth d of snow, in centimeters, that accumulates in Harper's yard during the first h hours of a snowstorm using the equation d=5h.
How many hours does it take for 1 centimeter of snow to accumulate in Harper's yard?
How many centimeters of snow accumulate per hour?
Please helpppp.Will vote the brainliest?I don't understand
Answer:
1.5
2.1/5
Step-by-step explanation:
1+2+3+4+...+4567+4568+4569=? ill mark brainliest
Answer: 10440165 ==> sum of sequence
Step-by-step explanation:
4569+1=4570
4570/2=2285==> Average number in the sequence
4569-1+1=4569 numbers in the sequence. I find the number of numbers in the sequence by subtracting the last number in the sequence by the first number in the sequence (4569-1) and adding 1 to the difference.
2285*4569=10440165 ==> sum of sequence
Solve the system 2x + y = 5, x + 3y = 0 by graphing.
Answer:
Step-by-step explanation:
What does k∈R mean in algebra?
Answer: The symbol ∈ indicates set membership and means “is an element of” so that the statement k∈R means that k is an element of the set R. In other words, k is one of the objects in the collection of (possibly many) objects in the set R.
In which data format does each column start and end at the same place in every row?
Fixed-Width is data format does each column start and end at the same place in every row.
What do statisticians mean by nominal data?
Nominal data is information that may be labeled or categorized within a variable into groups that are mutually exclusive. It is impossible to meaningfully rank these categories. For instance, you might have the options of a vehicle, bus, rail, tram, or bicycle for the nominal variable "preferred mode of transportation."Nominal data have a quality?
Quantitative and qualitative nominal data are also possible. But there is no numerical value or link for the quantitative designations (e.g., identification number). However, different kinds of qualitative data can also be expressed in nominal form.Learn more about Fixed-Width
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Which of the following inequalities would be graphed with an open circle?
3(x - 2) < 18 and h + 6 > -3h + 12 would be graphed with an open circle.
Open circle is a term used for numbers that are less than (<) or greater than (>). On the other hand, Closed circle is used for numbers that are less than or equal to (≤ ) and greater than or equal to (≥).
Here, we are given four inequalities, let us check them one by one-
A. h + 6 > -3h + 12
⇒ 4h > 6
or h > 3/2
Here, we see that there is no equality sign, this means that 3/2 won't be included and hence h + 6 > -3h + 12 would be an open circle inequality.
B. 7 ≥ d/3
⇒ d ≤ 21
Here, we can clearly see the equality sign which means that 21 will be included. Hence, 7 ≥ d/3 would not be graphed with an open circle.
C. 3(x - 2) < 18
x - 2 < 6
x < 8
Here, we see that there is no equality sign, this means that 8 won't be included and hence 3(x - 2) < 18 would be graphed with an open circle.
D. 2y ≤ 14
y ≤ 7
Here, we can clearly see the equality sign which means that 7 will be included. Hence, 2y ≤ 14 would not be graphed with an open circle.
Thus, 3(x - 2) < 18 and h + 6 > -3h + 12 would be graphed with an open circle.
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In+a+recent+poll,+64%+of+the+respondents+supported+stricter+gun+laws.+is+this+an+example+of+statistic+or+a+parameter?
In a recent poll, 64% of the respondents supported stricter gun laws is statistic.
What is an example of a parameter?
To describe the entire population under study, a parameter is utilized. For instance, we are interested in learning the typical length of a butterfly. This information about the total butterfly population makes it a parameter.What is an example of a population parameter?
A parameter is a descriptive measure applied to a whole population. Numerous population parameters exist. For instance, the population size (N) is one parameter, while other parameters that relate to continuous variables are the population's mean diastolic blood pressure or mean body weight.Learn more about population parameter
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Solve d = rt for r
Practice problems algebra
Answer: r=d/t
Step-by-step explanation:
d=rt
d/t=rt/t
r=d/t
Answer:
[tex]r=\frac{d}{t}[/tex]
Step-by-step explanation:
[tex]d=rt[/tex]
Divide both sides by [tex]t[/tex]:
[tex]\frac{d}{t}=r[/tex]
[tex]r=\frac{d}{t}[/tex]
I need answer please. I don’t know how to divide and what to divide by.. could someone give me answers to these questions?
Answer:
1) 60 miles per hour (60.00, if rounded)
2) 152 customers per day (150, if rounded)
3) 3.5 meters per second (3.50, if rounded)
4) 1.48 dollars per pound (1.48, if rounded)
5) 0.4825 dollars per pair (0.48, if rounded)
( shown work in screenshots, 1-5; magnify it to see better :D )
Suppose that y is directly proportional to x. use the given information to find the constant of proportionality k. then use y = kx to find y for the given value of x. y = 30 when x = 10;find y given x = 14
The the value of constant proportionality k is 3 and the value of y is 42 when the value of x is 14.
Constant proportionality:
Constant proportionality means the ratio of two proportional values at a constant value.
Directly Proportional:
In direct proportion, if one quantity is increased or decreased then the other quantity increases or decreases, respectively.
Given,
Suppose that y is directly proportional to x.
And y = kx.
Here we need to find the value of k when the value of x = 10 and the value of y = 30.
And we also need to find the value of y when the value of x = 14.
First, we have to find the value of k by apply the given value of the equation,
=> 30 = k x 10
=> 30 /10 = k
=> k = 3
Now the value of y when the value of x = 14 and the value of k = 3,
Then
=> y = 3 x 14
=> y = 42.
Therefore, the value of constant proportionality k is 3 and the value of y is 42 when the value of x is 14.
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Ed’s class went on a class picnic. Ed’s teacher packed 20 sports drinks in a cooler for Ed and his classmates. Eight of the sports drinks were orange-flavored. What is the ratio of sports drinks that are not orange-flavored to all the sports drinks in the cooler? Choose from the numbers listed below to create the correct ratio.
The ratio of sports drinks that are not orange-flavored to all the sports drinks in the cooler is 3 : 5.
What is Ratio?
In mathematics, Ratio is a term that is used to compare two or more numbers.
Given that their are 20 sports drinks in a cooler out of which 8 are orange flavored. Therefore, we can write that -
Number of orange flavored bottles = n[O] = 8
Total number of bottles = n[T] = 20
We can calculate the ratio of sports drinks that are not orange-flavored to all the sports drinks in the cooler as follows -
Total number of non - orange flavored bottles will be -
n[C] = n[T] - n[O]
Now, the ration of non - orange bottles to the total number of bottle's can be written as -
n[C] / n[T]
(n[T] - n[O]) / n[T]
(20 - 8) / 20
12 / 20
3 / 5
Assume that the ratio is denoted by R. Therefore -
R = 3 : 5
Hence, the ratio of sports drinks that are not orange-flavored to all the sports drinks in the cooler is 3 : 5.
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How would you write 730,812 in word form?
Answer Seven hundred and thirty thousand eight hundred twelve
What does the pair of equations y = 1, z = 7 represent? in other words, describe the set of points (x, y, z) such that y = 1 and z = 7.
The intersection of two plans is represented by the pair of equations y = 1, z = 7. The set of points is (0,1,7) and the line is parallel to the x axis.
What is intersection of planes?In geometry, a plane is a flat plate which extends in all directions to infinity.
Intersecting planes are non-parallel planes that always intersect in a straight line.The two planes cannot cross more than one line.A good illustration of intersecting planes is the two connecting borders, the binding side of a book, where all of the papers (planes) meet.Now, as per the question;
Consider the following equation.
y = 1 denotes a vertical plane in the xy plane.
Z = 7 denotes a horizontal plane parallel to the xy plane.
Both planes intersect and are perpendicular to each other.
y = 1 and z=7 is the intersection of two plans where x is zero and y = 1 and z = 7.
Therefore, the points are (0,1,7), and also the line is parallel to the x axis.
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List five tasks that a layer can perform. is it possible that one (or more) of these tasks could be performed by two (or more) layers?
Error control, flow control, segmentation and reassembly, multiplexing, and connection setup are five tasks that a layer can perform.
Flow control: It is the efficient management of data flow between two or more devices like computers or nodes of a network.
Error control: The identification and correction of errors that occur during the transmission of data is called error control.
Segmentation and reassembly: Data to be transmitted is divided into small parts or chunks for convenience. This process is called segmentation. The combining of these chunks to reform the original data is called reassembling.
Multiplexing: The process of combination of digital data streams in one signal over a shared medium is known as multiplexing.
Connection setup: Establishing a connection between two devices that are connected to the same network is called connection setup.
All these tasks can be duplicated at different layers.
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Convert 6 hours into weeks. Round your answer to the nearest hundredth.
Answer:
6 Hours = 0.0357 Weeks
Rounding off o nearest hundredth we get
=> 0.36
All done!
The black graph is the graph of y=f(x)
answer the photo
please do it correctly
Answer:
65
Step-by-step explanation:
180 -( 95 + 20 )
=180 - 115
= 65
Angie and Kenny play online video games. Angie buys 2 software package and 2 months of gameplay. Kenny buys 1 software package and 3 month of game play. Each software package cost $20. If their total cost is $160, what is the total cost of one month of gameplay?
Smallest
437.55
437.49
437.15
437.5
437.05
Largest
Answer:
smallest to largest will be:
437.05 , 437.15, 437.49, 437.5, 437.55
Step-by-step explanation:
an easier method i use is to simply check the 1st digit rhat comes after the decimal point if the whole numbers are similar.
in a case where there is only one number after the decimal while the rest have 2, for example 437.5, simply add a 0 to make it even as the rest
A fraction is equivalent to 2/3. The product of its numerator and denominator is 216. What is the fraction?
Simplify: (2 3/5)+(-3 3/4)
Answer:
-23/20
Step-by-step explanation:
convert 574 inches to yards foot and inches
Answer:
Firstly, you need to divide by 36! That'll tells you how many yards there are. Then, divide the remainder by 12! That'll tells you how many feet are there. The final remainder tells you the number of inches!
Find the difference of -6-(-7)
Answer:
1
Step-by-step explanation:
When you simplify, the answer is 1.
Answer:
1
Step-by-step explanation:
Simplify 2x+x+x+2y×3y×y
Answer: 6y^3 +4x
Step-by-step explanation:
collect like terms
2x + x + x + 2y * 3y *y
so
6y^3 +4x
Answer:
6y3 + 4x ( 3 is cube)Step-by-step explanation:
2x + x + x + 2y ( 3 )yy
2x + x + x + 6y 3
Combine Like Terms:2x + x + x + 6y3
( 6y3 ) + ( 2x + x + x)
6y3 + 4x
At a certain bookstore you get a $5 dollar coupon for every four books you buy. what is the least number of books you can buy to get $15 dollars in coupons.
Stretch by a factor of 3, shift 3 units left, and down 5 units. Shift 9 unit up .
Answer:Stretch by a factor of 3, shift 3 units left, and down 5 units. Shift 9 unit up .Stretch by a factor of 3, shift 3 units left, and down 5 units. Shift 9 unit up .Stretch by a factor of 3, shift 3 units left, and down 5 units. Shift 9 unit up .Stretch by a factor of 3, shift 3 units left, and down 5 units. Shift 9 unit up .Stretch by a factor of 3, shift 3 units left, and down 5 units. Shift 9 unit up .Stretch by a factor of 3, shift 3 units left, and down 5 units. Shift 9 unit up .
Step-by-step explanation:
The lines 4x+6y-5=0 and 2x+4y-3=0 intersect at N. Find the equation of the line through N perpendicular to the line x+2y=0.
4x+6y=5 and 2x+4y=3 are the 2 supplied lines. We must solve two simultaneous equations in order to determine the location at where these two lines cross.
When we multiply the second equation by two, we obtain the result 4x+8y=6. Next, we subtract this from the first equation to get -2y = -1, which equals y=1/2. N's coordinates are therefore (+1/2, +1/2).
The line we need to identify now goes through this point and is perpendicular to the line x+2y=0; its slope is -1/2 (the slope of the line [tex]ax+by+c=0[/tex] is -a/b). With m1*m2=-1, the line perpendicular to this one has a slope of 2. Consequently, the line that we must identify The slope of the equation is 2, and it goes through N. In order to simplify the equation, (y-1/2) = 2*(x-1/2), which results in 2y-1 = 2*(2x-1) and 2y-1 = 4x-2 and 4x-2y-1=0. The necessary equation is as follows.
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Suppose the graph of y=x^2 is shifted left 6 units. Complete the modified equation: y=
please help
The equation of the modified graph is y = (x + 6)^2
How to complete the modified equation?The equation of the graph is given as
y = x^2
The graph is shifted to the left by 6 units
This is represented as:
(x, y) = (x + 6, y)
So, we have
y = (x + 6)^2
Hence, the equation of the modified graph is y = (x + 6)^2
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50 < = x >= 1000 inequality
The solution to the given inequality is x≥50.
The given inequality is 50≤x≥1000.
What is inequality?Inequalities are mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Now,
Move all terms not containing x from the centre section of the inequality.
Inequality Form: x≥50
Interval Notation: [50,∞)
The solution to the inequality is marked on the number line.
Therefore, the solution to the given inequality is x≥50.
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