7² + 10² = c² where c = hypotenuse
49 + 100 = c²
149 = c²
c = √149 feet
Answer:
x+x=2x
Step-by-step explanation:
Answer:
C. 10.4 million liters.
Step-by-step explanation:
1. First, you want to create an equation to help you solve this. You know that there are 5,000 school buses and they use 40 liters of fuel per week. So, you know that 5,000 · 40x would be the amount of fuel for x weeks (where x is the number of weeks).
2. To figure out how many liters would be used in 52 weeks, simply put 52 in for x. So, the expression is 5,000·40(52).
3. Multiply 40(52) to get 2,080. Your expression now looks like this: 5,000·2,080
4. Multiply 5,000(2,080) to get your answer of 10,400,000 liters.
Hope this helps! :) If you could give me Brainliest that would be super helpful!
I=√-1
i^3=(√-1)^3
(√-1)^3=((√-1)^2)(√-1)=(-1)(√-1)=-√-1 or since i=√-1
-i is answer
<span>D is answer</span>
Answer:
<em>V = 1,568</em>
Step-by-step explanation:
<u>The Volume of a Square Pyramid</u>
Given a square-based pyramid of base side a and height h, the volume can be calculated with the formula:
![\displaystyle V=\frac{1}{3}a^2h](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%3D%5Cfrac%7B1%7D%7B3%7Da%5E2h)
We are given a square pyramid with a base side a=14 ft but we're missing the height. It can be calculated by using the right triangle shown in the image attached below, whose hypotenuse is 25 ft and one leg is 7 ft
We use Pythagora's theorem:
![25^2=h^2+7^2](https://tex.z-dn.net/?f=25%5E2%3Dh%5E2%2B7%5E2)
Solving for h:
![h^2=25^2-7^2=625-49=576](https://tex.z-dn.net/?f=h%5E2%3D25%5E2-7%5E2%3D625-49%3D576)
![h=\sqrt{576}=24](https://tex.z-dn.net/?f=h%3D%5Csqrt%7B576%7D%3D24)
The height is h=24 ft. Now the volume is calculated:
![\displaystyle V=\frac{1}{3}*14^2*24](https://tex.z-dn.net/?f=%5Cdisplaystyle%20V%3D%5Cfrac%7B1%7D%7B3%7D%2A14%5E2%2A24)
V = 1,568