9514 1404 393
Answer:
- 113.04, 4, 452.16
- 78.5, 11, 863.5
- 153.86, 10, 1538.6
Step-by-step explanation:
When calculations are repetitive, I like to let a calculator or spreadsheet do them. Here we have used the formula for the base area:
B = πr² = 3.14×r²
In the second figure, the radius is half the diameter, so is 5 units.
The table in the attachment lists the base area B, the height h (from the figures), and the volume V. These are the values that you need to drag and drop to the boxes in your problem.
V = 113.04 · 4
V = 452.16 units³ . . . showing how the numbers are used in the first figure
X<2 and x>-3 => x∈(-oo, 2) and x ∈(-3,+oo )=> x∈(-3, 2).
I think the best answer would probably be 1
Answer:
6 feet
Step-by-step explanation:
Perimeter = 2L + 2W
Since you know the perimeter is 64 feet, you would plug that into the perimeter side.
64 = 2L + 2W
You also know the width is 2 feet longer than 4 times the length.
64 = 2L + 2(2 + 4L) ----> Multiply 2 * 2 and 2 * 4l
64 = 2L + 4 + 8L ----> Subtract 4 from each side
-4 -4
60 = 2L + 8l ----> add these two
60 = 10L
/10 /10 -----> divide by 10 on each side
6 = L
Now that we know the length, find the width.
64 = 2(6) + 2(2 + 4(6)) -----> multiply 2 * 6 and 4 * 6
64 = 12 + 2(2 + 24) -------> add 24 and 2
64 = 12 + 2(26) -------> multiply 2 and 26
Before you go any further, you now know that the width is 26 feet. Continue solving.
64 = 12 + 52
64 = 64
Everything checks out.
The length is 6 feet and the width is 26 feet.
Answer:
c. 24
Step-by-step explanation:
Triangle PQR has dimensions that are a factor of 45/15 = 3 times those of triangle ABC, so side QR will be 3 times the length of side BC:
3·8 = 24 . . . . . matches choice C
_____
We are not given any information that says the triangles are similar. We have assumed they are. Without that information, there is no basis for working the problem.