Answer:
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Step-by-step explanation:
The TSA of the cylinder
![2\pi \: rh + 2\pi {r}^{2}](https://tex.z-dn.net/?f=2%5Cpi%20%5C%3A%20rh%20%2B%202%5Cpi%20%7Br%7D%5E%7B2%7D%20)
In Mathematics, 'is' is =
Twice means 2( )
Product means ×
So we have
![2\pi \: rh + 2\pi {r}^{2} = 2(t \times {r}^{2} )](https://tex.z-dn.net/?f=2%5Cpi%20%5C%3A%20rh%20%2B%202%5Cpi%20%7Br%7D%5E%7B2%7D%20%20%3D%202%28t%20%5Ctimes%20%20%7Br%7D%5E%7B2%7D%20%29)
as the answer.
Answer:
Angle, ![\theta=70.4^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%3D70.4%5E%7B%5Ccirc%7D)
Step-by-step explanation:
We have, an A-frame house is 45 feet high and 32 feet wide. It is required to find the measure of the angle that the roof makes with the floor.
The attached figure shows the A frame. Let
is the angle that the roof makes with the floor. So,
![\tan\theta=\dfrac{45}{16}\\\\\tan\theta=2.81\\\\\theta=\tan^{-1}(2.81)\\\\\theta=70.4^{\circ}](https://tex.z-dn.net/?f=%5Ctan%5Ctheta%3D%5Cdfrac%7B45%7D%7B16%7D%5C%5C%5C%5C%5Ctan%5Ctheta%3D2.81%5C%5C%5C%5C%5Ctheta%3D%5Ctan%5E%7B-1%7D%282.81%29%5C%5C%5C%5C%5Ctheta%3D70.4%5E%7B%5Ccirc%7D)
So, the angle of 70.4 degrees is the angle that the roof makes with the floor.
If you plug in the x-coordinate into your equation for the line, you get
y = -3(4)/4 + 3
y = -3 + 3
y = 0
Answer:
the answer is B
Step-by-step explanation:
it help you
Answer:
x = 135
Step-by-step explanation:
The three triangles are similar.
144/y = y/81
y^2 = 144 * 81
y = 12 * 9
y = 108
81^ + 108^2 = x^2
x^2 = 18225
x = 135