What is the rate of change of the amount earned with respect

What is the circumference of the circle? Use 3.14 for x

GuDViN [60]

Answer:

C = 6.28r

Step-by-step explanation:

If the circumference of a circle is C, then C = 2(3.14)r, where r is the radius.

Then C = 6.28r

3 0

3 years ago

Explain why it is important to solve for the variable first in order to find the measure any angle mentioned in the problem . Ye

valkas [14]

In the field of astronomy, the ability to measure angles accurately and precisely enables us to calculate the position and relative movement of the stars and galaxies in relation to each other, to determine how far distant they are from us, and even to estimate their relative size.

6 0

3 years ago

Find x Thanks for the help in advance!

Marina86 [1]

I'm not sure if this is the easiest way of doing this, but it surely work.

Let the base of the triangle be AB, and let CH be the height. Just for reference, we have

$AH=2,\quad HB=6,\quad AC=x$

Moreover, let CH=y and BC=z

Now, AHC, CHB and ABC are all right triangles. If we write the pythagorean theorem for each of them, we have the following system

$\begin{cases}4+y^2=x^2\\36+y^2=z^2\\x^2+z^2=64\end{cases}$

If we solve the first two equations for y squared, we have

$y^2=x^2-4\\y^2=z^2-36$

And we can deduce

$z^2 = x^2+32$

So that the third equation becomes

$x^2+x^2+32=64 \iff 2x^2 = 32 \iff x^2=16 \iff x=4$

(we can't accept the negative root because negative lengths make no sense)

7 0

3 years ago

Mary took 8 tests in science and received the following scores: 87,60,76,92,63,91,88,75

MariettaO [177]

Answers:

mean = 79
mode = none
median = 81.5

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Explanation:

To get the mean, you add up the numbers and then divide by n = 8, since there are 8 scores

Adding the scores gets us: 87+60+76+92+63+91+88+75 = 632

Divide that over n = 8 to get 632/n = 632/8 = 79

The mean is 79

You have the correct answer. Nice work.

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The mode is the most frequent value.

In this data set, we don't have any repeated values. Each unique number is listed one time only. So that tells us we don't have a mode here.

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To get the median, we need to sort the items from smallest to largest

{87,60,76,92,63,91,88,75} sorts to {60,63,75,76,87,88,91,92}

Because we have n = 8 values, which is an even number, this tells us that the median is between slot n/2 = 8/2 = 4 and slot 5

The values 76,87 are in slots four and five in that order. Add them up and divide by 2: (76+87)/2 = 163/2 = 81.5 is the median

3 0

3 years ago

Can you guys help me with that ?

aleksley [76]

The shirts are 12.75 for 3 so we can write a ratio of $\frac{12.75}{3}$ To get the price of the shirts, one needs to divide $\frac{12.75}{3}$ , which will tells use what the unit price is per shirt. The price per shirt is $4.25

6 0

3 years ago