Answer:
A. (-4,2)
Step-by-step explanation:
Hey there!
Given that this flower bed is circular, it can be assumed that it's a cylinder. In this problem, we need to use the equation for the volume of a cylinder:
V = π r² h
Since we just need to find the area that the mulch will take up, we'll use that given measurement of 4 inches in place of the actual height of the flower garden. Since we need the radius, all we have to do is divide the 12 inch diameter measurement in half to get a radius of 6 inches. Usually for these problems, they'll tell you to use 3.14 for pi instead of the full pi number, so we'll just use that to make things easier.
V = π (6)² (4)
V = π (36)(4)
V = π (144)
V = 452.16
The volume of the mulch needed will be 452.16 in³.
Hope this helped you out! :-)
Answer:
width = 15 inches
length = 36 inches
Step-by-step explanation:
To solve you need to find the width...
width = w
length = 2w + 6
the perimeter is all the way around the area, so..
2w + 2(2w + 6) = 102
because there are 2 widths and 2 lengths in a perimeter.
Solve for w:
2w + 4w + 12 = 102
subtract 12 from both sides and combine like terms...
6w = 90
divide both sides by 6...
w = 15
the width = 15, and the length = 2(15) + 6 = 36
Add five to both sides
-3x = 21
Divide by -3 on both sides
x = -7
Answer:
116,396,280 ways
Step-by-step explanation:
Two six-person committees are to be formed from 20 people.
The first 6 person committee can be formed in
²⁰C₆ ways = 38760 ways.
After forming this committee, there are 14 people left.
The second 6 person committee can be formed in
¹⁴C₆ ways = 3003 ways
The two committees can be formed in
38760 × 3003 ways = 116,396,280 ways