All the angles must add to 180degrees in a triangle.
180 = 59 + 35 + x
180 = 94 + x
86 = x
Supplementary angles x and z add to 180
180 = x + z
180 = 86 + z
94 = z
Now the last triangle is with angles 11, z, and y
they must add to 180 so...
180 = 11 + z + y
180 = 11 + 94 + y
180 = 105 + y
75 = y
Hope this helps!
Answer:
ahhh
Step-by-step explanation:
i dont know i wish sweet haret
The formula of a volume of a cone:
![V=\dfrac{1}{3}\pi r^2H](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2H)
r - radius
H - height
We have a diameter d = 3in (d = 2r → r = d:2 → r = 3in : 2 = 1.5in)
and the volume 12in³.
Substitute:
![\dfrac{1}{3}\pi(1.5)^2H=12\qquad\text{multiply both sides by 3}\\\\2.25\pi H=36\qquad\text{divide both sides by 2.25}\pi\\\\H=\dfrac{36}{2.25\pi}\\\\H=\dfrac{16}{\pi}\ in\\\\H=\dfrac{16}{3.14}\to H\approx5\ in.](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B3%7D%5Cpi%281.5%29%5E2H%3D12%5Cqquad%5Ctext%7Bmultiply%20both%20sides%20by%203%7D%5C%5C%5C%5C2.25%5Cpi%20H%3D36%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%202.25%7D%5Cpi%5C%5C%5C%5CH%3D%5Cdfrac%7B36%7D%7B2.25%5Cpi%7D%5C%5C%5C%5CH%3D%5Cdfrac%7B16%7D%7B%5Cpi%7D%5C%20in%5C%5C%5C%5CH%3D%5Cdfrac%7B16%7D%7B3.14%7D%5Cto%20H%5Capprox5%5C%20in.)
<h3>Answer: The height is 5 in.</h3>
1.) 421.307
2.)12.778
3.)16
4.)106.25
5.) 271.17
6.) 4136.96
7.)2614.68
8.)172.387
9.)23126.4
10.) 39.834