Answer:

Step-by-step explanation:
To solve this, we can imagine a line drawn directly down from the point (10,4) to the x-axis. This would make a right triangle with length 10 and height 4.
is equal to the length of adjacent leg to the angle divided by the length of the hypotenuse of the triangle. From the picture, we can see the adjacent leg is 10.
We can use Pythagorean's Theorem to find the hypotenuse (let
represent the length of the hypotenuse):




Thus, we know the adjacent is 10, and the hypotenuse is
. This means
.
Hope this helps!
Answer: d
Step-by-step explanation:
Find the area of the rectangle.

Find the area of the base of the semicircle.

12 in would be the diameter, divide by 2 to get the radius.

Plug this into the formula.

Since we do not have a full circle but a semi one instead, we must divide our result by 2.

Add both areas.
180+56.52=236.52
X < -3. Subtract one from both sides and you get x + 8 over 5 is less than 1. Multiple both sides by 5 and you get x + 8 is less than 5. Finally, subtract 8 from both sides and you get x is less than -3.