Answer:
2261,9 cm³
Step-by-step explanation:
First, you need to find the area of the base:

A=36
cm²
Now let's multiply it for the height:
36π cm² × 20 cm = 720π cm³
= 2261,9 cm³
Answer:
y = 1/3x + 8
Step-by-step explanation:
*perpendicular means the reciprocal slope of the given line
m = 1/3
y = 1/3x + b
*plug in points with the point-slope equation
10 = 1/3(6) + b
10 = 2 + b
b = 8
*now plug everything into the equation
y = 1/3x + 8
Answer:
n - 1
Step-by-step explanation:
(n-1)(n-5) / 2(n+3) ×2(n+3) / (n-5)
Kindly check attached picture for simplification
Answer:
ft³
Step-by-step explanation:
First, let's figure out how to get the <em>volume </em>of a sphere from its <em>surface area</em>. If r is the radius of our sphere, then
The formula for a sphere's surface area is
The formula for a sphere's volume is 
So to get from area to volume, we have to <em>divide the area by 3 </em>and then <em>multiply it by r.</em> Mathematically:

Before we solve for V though, we need to find the radius of our sphere. Thankfully, we're given the surface area -
ft² - so we can use the area formula to find that radius:

And now that we have our radius, we can put it into our volume formula to find
ft³
Answer:
D. 3
Step-by-step explanation:
To find the slope of a line, we can use the equation y2-y1/x2-x1=m or slope.
All we can do now is insert the values of the points into the equation.
-8-7/-4-1=m
-15/-5=m
3=m
Thus, the slope is 3.
Hope this helps!