Part A is found by solving the equation for t
Answer is 1 second
Part B
Rewrites in vertex form Thid gives
-16(t+5/8)^2 + 25/4 -4
= -16(t+5/8)^2 + 2 1/4
Maximum height = 2 1/4 feet Answer
Answer:
, proper fraction
Step-by-step explanation:
![3\frac{2}{3}=\frac{11}{3\\}](https://tex.z-dn.net/?f=3%5Cfrac%7B2%7D%7B3%7D%3D%5Cfrac%7B11%7D%7B3%5C%5C%7D)
![\frac{12}{5}*\frac{3}{11}=\frac{36}{55}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B5%7D%2A%5Cfrac%7B3%7D%7B11%7D%3D%5Cfrac%7B36%7D%7B55%7D)
Answer:
![A = 52](https://tex.z-dn.net/?f=A%20%3D%2052)
Step-by-step explanation:
Given
![A = 14 + B](https://tex.z-dn.net/?f=A%20%3D%2014%20%2B%20B)
Required
Find A
Since both angles are complementary; then:
![A + B = 90](https://tex.z-dn.net/?f=A%20%2B%20B%20%3D%2090)
Solve for B in ![A = 14 + B](https://tex.z-dn.net/?f=A%20%3D%2014%20%2B%20B)
![B = A - 14](https://tex.z-dn.net/?f=B%20%3D%20A%20-%2014)
Substitute
in ![A + B = 90](https://tex.z-dn.net/?f=A%20%2B%20B%20%3D%2090)
![A + A - 14 = 90](https://tex.z-dn.net/?f=A%20%2B%20A%20-%2014%20%3D%2090)
![2A - 14 = 90](https://tex.z-dn.net/?f=2A%20-%2014%20%3D%2090)
Solve for 2A
![2A = 90 + 14](https://tex.z-dn.net/?f=2A%20%3D%2090%20%2B%2014)
![2A = 104](https://tex.z-dn.net/?f=2A%20%3D%20104)
Solve for A
![A = 104/2](https://tex.z-dn.net/?f=A%20%3D%20104%2F2)
![A = 52](https://tex.z-dn.net/?f=A%20%3D%2052)
Recall that the equation to find the perimeter of a rectangle is 2(L + w)
Since we know the length, we can make an equation:
2(3 + w) = 12
Divide both sides by 2:
(3 + w) = 6
w = 3
Now that we know both length and width, we simply have to find their product to solve for area:
a = L * w
a = 3 * 3
a = 9
The area of the rectangle is 9 cm^2.