Answer:
1 : 1
Step-by-step explanation:
When a circle is inscribed in a cylinder, the height of the cylinder is equal to the diameter of the sphere and the radius of the cylinder is same as that of the sphere.
Let the radius of sphere is r.
height of cylinder, h = 2r
radius of cylinder = r
Surface area of sphere, A = 4πr²
lateral surface area of cylinder, A' = 2 πrh
A' = 2πr x 2r = 4πr²
The ratio of surface area of sphere to the lateral surface area of cylinder is 1 : 1.
Answer:
Solution given:
b=9 base side of isosceles triangle
a=![\sqrt{9²+9²}=9\sqrt{2}](https://tex.z-dn.net/?f=%20%5Csqrt%7B9%C2%B2%2B9%C2%B2%7D%3D9%5Csqrt%7B2%7D)
Hey there!
Since 2 goes into 8, you would simplify. You would get 1 inch and 4 miles. Next, set up a ratio. The ratio is 1 inch: 4 miles. So for every inch on the map, there is 4 miles.
I hope this helps!
Answer:
Answer:
y = -5(x - 7)^3 - 1
Step-by-step explanation:
You kind of just plug in the numbers.
a vertical stretch by a factor of 5: y = 5x^3
a reflection across the x-axis: y = -5x^3
a vertical translation 1 unit down: -5x^3 - 1
a horizontal translation 7 units right: -5(x - 7)^3 -1
Step-by-step explanation: