Answer: sin of theta = (√55)/8
Step-by-step explanation:
Cosine is the x-value divided by the hypotenuse. We now know that since cosine is 3/8, that the hypotenuse is 8. In order to find the third side of the triangle (which would be the v-value), we must use Pythagorean theorem. The third side is square root 55. Sine equals the y-value divides by the hypotenuse. We know both of those values, so Sine of theta = square root of 55 divided by 8.
Part A:
The average rate of change refers to a function's slope. Thus, we are going to need to use the slope formula, which is:
and 
are points on the function
You can see that we are given the x-values for our interval, but we are not given the y-values, which means that we will need to find them ourselves. Remember that the y-values of functions refers to the outputs of the function, so to find the y-values simply use your given x-value in the function and observe the result:
Now, let's find the slopes for each of the sections of the function:
<u>Section A</u>
<u>Section B</u>
Part B:
In this case, we can find how many times greater the rate of change in Section B is by dividing the slopes together.
It is 25 times greater. This is because 
is an exponential growth function, which grows faster and faster as the x-values get higher and higher. This is unlike a linear function which grows or declines at a constant rate.
I thinks it’s A or C )) but it’s not b or d, I’m pretty sure. So imma go with A or c
Answer:
3.1567 * 10^-4 miles
Step-by-step explanation:
1 ft = 1.894 * 10^-4 miles , so
1 inch = 1.894 * 10^-4 / 12 miles
= 0.15783 * 10^-4
= 1.5783* 10^-5 miles ( in scientific form).
Multiplying this by 20 we get
31.567 * 10^-5
= 3.1567 * 10^-4 miles.
