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ivanzaharov [21]

2 years ago

8

A model of a volcano has a height of 12 in., and a diameter of 12 in.

2 answers:

solong [7]2 years ago

6 0

Answer:

452.16 cm³

Step-by-step explanation:

I assume the shape of the volcano is a cone.

V = (1/3)πr²h

r = d/2 = 12 in./2 = 6 in.

V = (1/3)(3.14)(6 in.)²(12 in.)

V = 452.16 in.²

Scilla [17]2 years ago

5 0

Answer:

Step-by-step explanation:

Radius r = 6 inches

Height h = 12 inches

volume of cone = πr²h/3 ≈ 3.14∙6²∙12 = 1,356.48 in³

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Mr. Poole spent 7 nights in a hotel. His employer paid the cost for 4 of the nights. Mr. Poole’s employer paid $356 toward his h

Nostrana [21]

Since 4 nights cost $356, 356÷4=89, so one night costs $89. 7-4=3, so 89×3 is 267. 267+356 is 623. The total cost for 7 nights would be $623

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The area of a rectangular parking lot is 7031m? If the with of the parking lot is 79m, what is its length?

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The length of the parking lot is 89m.

To find the length, we can abide by the following formula:

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Nostrana [21]

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Michael works 30 hours per week and makes $15.00 per hour. How much does he make in a 4-week month?

Wewaii [24]

Answer:

$1,800

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2 years ago

Miranda enlarged a picture twice as shown below, each time using a scale factor of 3.

lyudmila [28]

Answer:

The area of the second enlargement is 1,944 square inches

The area of the second enlargement is (3 squared) squared times the original area.

The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor

Step-by-step explanation:

<u><em>Verify each statement</em></u>

1) The area of the first enlargement is 72 square inches.

The statement is false

Because

we know that

The original dimensions of the rectangle are

length 6 inches and width 4 inches

so

First enlargement

Multiply the original dimensions by a scale factor of 3

$Length: 6(3)=18\ inches\\Width: 4(3)=12\ inches$

The area of the first enlargement is

$18(12)=216\ in^2$

2) The area of the second enlargement is 1,944 square inches

The statement is true

Multiply the dimensions of the first enlargement by a scale factor of 3

$Length: 18(3)=54\ inches\\Width: 12(3)=36\ inches$

The area of the second enlargement is

$54(36)=1,944\ in^2$

3) The area of the second enlargement is (3 squared) squared times the original area.

The statement is true

Because

The original area is 24 square inches

$[(3^2)]^2(24)=1,944\ in^2$

4) The area of the second enlargement is 3 times the area of the first enlargement

The statement is false

Because

$3(216)=648\ in^2$

so

$648\ in^2 \neq 1,944\ in^2$

5) The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor

The statement is true

Because

The square of the scale factor is 3^2=9

and the ratio is equal to

$\frac{216}{24}=9$

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