Answer:
x=11
Step-by-step explanation:
3x+3(5x-6)= 180
Distribute 3 to 5x and -6
3x+15x-18=180
Combine like terms
18x-18=180
Add 18 to both side
18x=198
Divide 18 on both side
x=11
Look at the picture.
The formula of the volume of the solid created by the rotation around to the
x - axis
![y=f(x);\ x\in\left\ \textless \ a;\ b\right\ \textgreater \ \\\\|V|=\pi\int\limits_a^bf^2(x)dx](https://tex.z-dn.net/?f=y%3Df%28x%29%3B%5C%20x%5Cin%5Cleft%5C%20%5Ctextless%20%5C%20%20a%3B%5C%20b%5Cright%5C%20%5Ctextgreater%20%5C%20%5C%5C%5C%5C%7CV%7C%3D%5Cpi%5Cint%5Climits_a%5Ebf%5E2%28x%29dx)
We have:
![f(x)=9;\ x\in\left< 0;\ 6\right>](https://tex.z-dn.net/?f=f%28x%29%3D9%3B%5C%20x%5Cin%5Cleft%3C%200%3B%5C%206%5Cright%3E)
![\int f^2(x)dx=\int9^2dx=\int81dx=81x\\\\|V|=\pi\int\limits_0^69^2dx=\pi\left81x\right]^6_0=\pi(81\cdot6-81\cdot0)=\pi\cdot486=486\pi\\\\|V|=486\pi\approx486\cdot3.14=1526.0\ units^3](https://tex.z-dn.net/?f=%5Cint%20f%5E2%28x%29dx%3D%5Cint9%5E2dx%3D%5Cint81dx%3D81x%5C%5C%5C%5C%7CV%7C%3D%5Cpi%5Cint%5Climits_0%5E69%5E2dx%3D%5Cpi%5Cleft81x%5Cright%5D%5E6_0%3D%5Cpi%2881%5Ccdot6-81%5Ccdot0%29%3D%5Cpi%5Ccdot486%3D486%5Cpi%5C%5C%5C%5C%7CV%7C%3D486%5Cpi%5Capprox486%5Ccdot3.14%3D1526.0%5C%20units%5E3)
Answer:
D. 1526.0 units^3.
Answer:
550
Step-by-step explanation:
1100/2=550
(can I get brainliest please)
Answer:
1 5/8 feet/year
Step-by-step explanation:
Height tree grew in 10 years
= 36 3/4-20 1/2
= 16 1/4 feet
Rate tree grew in a year
= 16 1/4÷10
= 1 5/8 feet/year
Answer:
3:5, because for every 3 ears present in the field, there are 5 legs present
Step-by-step explanation:
A cow has 2 ears and 4 legs.
20 cows have 40 ears and 80 legs.
A farmer has 2 ears and 2 legs.
10 farmers have 20 ears and 20 legs.
20 cows and 10 farmers have 60 ears and 100 legs.
Ratio of ears to legs is
60:100 = 3:5
Answer: 3:5, because for every 3 ears present in the field, there are 5 legs present