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zhenek [66]
3 years ago
5

One airplane is 78 miles due south of a control tower. Another airplane is 52 miles from the control tower at a heading of N 38

degrees E. To the nearest tenth of a mile, how far apart are the two airplanes?
Mathematics
1 answer:
kow [346]3 years ago
4 0

Answer:

123.2 miles

Step-by-step explanation:

Given that One airplane is 78 miles due south of a control tower. Another airplane is 52 miles from the control tower at a heading of N 38 degrees E. To the nearest tenth of a mile, how far apart are the two airplanes?

The angle Ø = 90 + 52 = 142 degree

Or 180 - 28 = 142 degree

Using cosine formula

D^2 = 78^2 + 52^2 - 2(78)(52)Cos142

D^2 = 6084 + 2704 - 8112Cos142

D^2 = 8788 + 6392.34

D^2 = 15180.34

D = 123.2 miles

Therefore, the two planes are 123.2 miles apart.

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You would like to build a relative frequency distribution for this data set to easily compare it to another class of students.
Dafna1 [17]

The relative frequency for the third class, 60 - 69 is equal to 12%.

<h3>What is a class width?</h3>

In a frequency distribution table, a class width can be defined as the difference between the upper (maximum) and lower (minimum) boundaries of any class in a data set. This ultimately implies that, all classes must all have the same width in a frequency distribution table.

<h3>What is a frequency table?</h3>

A frequency table can be used to graphically represent the frequencies or relative frequencies that are associated with a categorical variable.

<h3>How to calculate the relative frequency for the third class, 60 - 69?</h3>

First of all, we would determine the total number of frequency as follows:

Total frequency = 12 + 11 + 6 + 10 + 11

Total frequency = 50.

Mathematically, relative frequency can be calculated by using this formula:

Relative frequency = class frequency/total frequency × 100

Relative frequency = 6/50 × 100

Relative frequency = 0.12 × 100

Relative frequency = 12%.

Read more on frequency table here: brainly.com/question/20744563

#SPJ1

Complete Question:

You would like to build a relative frequency distribution for this data set to easily compare it to another class of students.

What is the relative frequency for the third class, 60 - 69?

8 0
2 years ago
Create a equation using this graph?
Setler79 [48]
The formula for a straight line is y=mx+b, where m is the slope and b is the y-intercept.

To find out the slope, we use a formula known as rise/run.

Rise means how high a point goes between any two points and run is how far the space is between any two points.

We can see that there are two points give to us. Now we ask our self how high do we have to go to reach the second points’ height. If we count it we go five UP. Meaning that the rise is positive 5.
Now we see how far the two points are. If we count it, we go 1 space the LEFT meaning -1 since going left on a graph means x is getting smaller.

Now that we have he two values, we put them into rise/run

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We still have our value of b to find and we can do this by choosing any one point on the graph and substituting it into the equation. We know that one of our points is (3,0)

We put these into the equation

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3 years ago
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Ahat [919]
I believe its the second choice.
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3 years ago
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Brilliant_brown [7]

Answer:

f(x)=1x·8= total distance

Step-by-step explanation:

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3 years ago
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7 brown, 3 yellow, 8 red...total of 18 cards

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