Answer:
Step-by-step explanation:
The total surface area of the sphere = 2πr²
Total surface area of the cylinder = 2πr²+2πrh
Total surface area of the solid = 4πr²+2πrh
r is the radius of the sphere and the cylinder
h is the height of the cylinder
Total surface area of the solid = 2πr(r+h)
If the total height of the solid is 18 cm, then r+h = 18cm
Given the Total surface area of the solid = 205π cm
205π = 2πr(r+h)
205π = 2πr(18)
205π = 36πr
205 = 36r
Divide both sides by 36
205/36 = 36r/36
r = 5.69cm
Since r+h = 18cm
5.69+h = 18
h = 18-5.69
h = 12.31cm
That'd be : 28.8 . I hope this helps. This is it step by step.
60/x=100/48
<span>(60/x)*x=(100/48)*x </span>
<span>60=2.08333333333*x
</span>(2.08333333333) to get x
<span>60/2.08333333333=x </span>
<span>28.8=x </span>
<span>x=28.8</span>
<span>Even though you have no choices listed:
Each Exterior Angle = Each Central Angle = (360 degrees) ÷ (Number of Sides)
</span>Each Exterior Angle = <span>(360 degrees) ÷ (Number of Sides)
</span><span>(Number of Sides) = 360 / 36
</span><span>Number of Sides = 10
a 10-sided polygon is a decagon
</span>
Answer:
the answer is d.
Step-by-step explanation:
Answer:
Step-by-step explanation:
![\frac{9a^{2}-5}{b^{2}+2}+\frac{-2a^{2}+4}{b^{2}+2}=\frac{9a^{2}-5-2a^{2}+4}{b^{2}+2}\\\\=\frac{9a^{2}-2a^{2}-5+2}{b^{2}+2}\\\\=\frac{7a^{2}-3}{b^{2}+2}](https://tex.z-dn.net/?f=%5Cfrac%7B9a%5E%7B2%7D-5%7D%7Bb%5E%7B2%7D%2B2%7D%2B%5Cfrac%7B-2a%5E%7B2%7D%2B4%7D%7Bb%5E%7B2%7D%2B2%7D%3D%5Cfrac%7B9a%5E%7B2%7D-5-2a%5E%7B2%7D%2B4%7D%7Bb%5E%7B2%7D%2B2%7D%5C%5C%5C%5C%3D%5Cfrac%7B9a%5E%7B2%7D-2a%5E%7B2%7D-5%2B2%7D%7Bb%5E%7B2%7D%2B2%7D%5C%5C%5C%5C%3D%5Cfrac%7B7a%5E%7B2%7D-3%7D%7Bb%5E%7B2%7D%2B2%7D)