The area of a trapezoid = 0.5h(a + b) where a and b are the lengths of the parallel sides
so here we have 0.5(8)(a + 12) = 144
solve for a
4(a + 12) = 144
4a + 48 = 144
4a = 96
a = 96/4 = 24
$7 was paid to park the car for 3 hours.
3 hours cost $7 to park
1 hour = $ (7/3)
So every 1 hour cost $(7/3)
Therefore cost in dollars, c = (7/3)*p
Therefore c = (7/3)p, where c is the cost in dollars of parking and p is the number of hours.
Answer:
hey is 74^0 is multiply by 24^0 and both of these are divided by 6
Answer:
x = 2√30, y = 2√21
Step-by-step explanation:
You can create the following equations:
(1) from the left triangle with sides x, y and 6:
y² + 6² = x²
(2) from the right triangle with sides y, 14 and... lets call it z:
y² + 14² = z²
(3) from the big triangle:
x² + z² = 20²
(4) Combine (2) and (3) to eliminate z:
x² + y² + 14² = 20²
combine (1) and (4) to eliminate x:
y² + 6² + y² + 14² = 20²
simplify
2y² = 20² - 6² - 14² = 168
y² = 84
y = √84 = 2√21
x² = y² + 6² = 84 + 36 = 120
x = √120 = 2√30
Multiply both sides of the equation by 3.
![3V= \pi r^{2}](https://tex.z-dn.net/?f=3V%3D%20%5Cpi%20%20r%5E%7B2%7D%20)
Divide both sides of the equation by π.
![\frac{3V}{ \pi } = r^{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B3V%7D%7B%20%5Cpi%20%7D%20%3D%20%20r%5E%7B2%7D%20)
Solved!!!! :-)