Answer:
We are to find the error made by Sadie and then find the correct simplification.
The error Sadie made is that she wrote
as
instead of
.
The square root of
is
and so she could have further simplified.
The correct simplification is shown below:

Hello again! So we will be using the pythagorean theorem (

) to solve for the bottom leg of the triangles. After we do that, we'll subtract the value of the legs from 31, and that'll be x.
Plug in 17 and z (or any variable that isn't x) into the leg variable and 19 into the hypotenuse variable, and from there we can solve.

Solve the exponents to get

Subtract 289 on each side to get

Lastly, square root each side of the equation and your answer should be

(To get more accurate answers, you shouldn't round until the end of the problem)
Nextly, we will need to subtract

from 31. And since there are 2 triangles, you'll need to multiply

by 2.
In short, x = 14.0
Answer:

Step-by-step explanation:
first find the area of the rectangle, which would be
yd²
then find the arc length of the sector, which is about 30.6yd
use the arc length to find the area of the sector, which is about 199.09yd²
add together the area of the rectangle and sector:
199.09 + 208 ≈ 407
Answer:
47.2 miles per hour
Step-by-step explanation:
472 miles/ 10 hours= 47.2
The full range is

(length

), so the half range is

. The half range sine series would then be given by

where

Essentially, this is the same as finding the Fourier series for the function

Integrating by parts yields

So the half range sine series for this function is simply