Answer:
h = 3 feet
Step-by-step explanation:
Given that,
The bases of trapezoid are 22 feet and 14 feet long.
The area of trapezoid is 54 square feet.
We need to find the height of the cross section. The formula for the area of trapezoid is given by :

So, the height of the cross section is 3 feet.
Answer:
465 Socks.
Step-by-step explanation:
600 - 135 = 465
Pro tip: always assign ratios a variable.
So 8x + 7x = 30; 15x=30; x=2
Now plug in x;
8(2)=16 and 7(2)=14
So the pieces are 16 and 14 cm which adds up to 30.

Let's factor all four of these before we multiply.
x² - 25 We want two numbers that add to -25 and multiply to 0.
= (x+5)(x-5)
x² - 2x
Both terms are divisible by x.
= x(x-2)
x - 2unfactorable
x² + 5x
Both terms are divisible by x.
= x(x+5)
Now we have this:

Let's go ahead and multiply across.

Cancel out the (x+5) and (x-2) from the top and the bottom.
Answer:
∠2 = 41°
Step-by-step explanation:
∠2 + 49° + 90° = 180°
∠2 + 139° = 180°
∠2 = 180° - 139°
∠2 = 41°