The correct answer is 1/3f +36 = 85. You can figure this out by reading this "<span>The number of State Parks in California is <u>36 more than one third the number of State Parks in Florida</u>" and writing it as an equation.
85 = <u>1/3f + 36</u></span>
Answer:
15.8
Step-by-step explanation:
round!
Answer:
4.9 feet
Step-by-step explanation:
First, we need to determine the height of the building using the following:
![L^2 = H^2 + B^2](https://tex.z-dn.net/?f=L%5E2%20%3D%20H%5E2%20%2B%20B%5E2)
Where
H = Height of the building
L = Length of the first ladder = 20ft
B = Distance from the base of the building = 10ft
So, we have:
![20^2 = H^2 + 10^2](https://tex.z-dn.net/?f=20%5E2%20%3D%20H%5E2%20%2B%2010%5E2)
![400 = H^2 + 100](https://tex.z-dn.net/?f=400%20%3D%20H%5E2%20%2B%20100)
![H^2 = 400 - 100](https://tex.z-dn.net/?f=H%5E2%20%3D%20400%20-%20100)
![H^2 = 300](https://tex.z-dn.net/?f=H%5E2%20%3D%20300)
![H = \sqrt{300](https://tex.z-dn.net/?f=H%20%3D%20%5Csqrt%7B300)
Next, is to determine the distance of the new ladder from the base of the building (B) using Pythagoras theorem using:
![L_2^2 = H^2 + B_2^2](https://tex.z-dn.net/?f=L_2%5E2%20%3D%20H%5E2%20%2B%20B_2%5E2)
Where
--- Length of the second ladder
----- Height of the building
So, we have:
![18^2 = \sqrt{300}^2 + B_2^2](https://tex.z-dn.net/?f=18%5E2%20%3D%20%5Csqrt%7B300%7D%5E2%20%2B%20B_2%5E2)
![324 = 300 + B_2^2](https://tex.z-dn.net/?f=324%20%3D%20300%20%2B%20B_2%5E2)
![B^2_2 = 324 - 300](https://tex.z-dn.net/?f=B%5E2_2%20%3D%20324%20-%20300)
![B^2_2 = 24](https://tex.z-dn.net/?f=B%5E2_2%20%3D%2024)
Solving for B2, we have:
![B_2 = \sqrt{24](https://tex.z-dn.net/?f=B_2%20%3D%20%5Csqrt%7B24)
![B_2 = 4.9](https://tex.z-dn.net/?f=B_2%20%3D%204.9)
Answer:
A. a = -3, b = 2
Step-by-step explanation:
I calculated it logically