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HACTEHA [7]
3 years ago
8

I need help with this ASAP!!

Mathematics
1 answer:
Gwar [14]3 years ago
5 0

Answer:

A) 3;  B) 1116 m²; C) 24 m³; D) 1/27

Step-by-step explanation:

A) Scale factor

The scale factor is the ratio of the heights of the two pyramids.

h₂/h₁ = 24/8 = 3

B) Surface area

The ratio of the surface areas is the square of the scale factor.

A₂/A₁ = 3²

A₂/124 = 9

A₂ = 124 × 9 = 1116 m²

The volume of the larger pyramid is 1116 m².

C) Volume

The ratio of the volumes is the cube of the scale factor.

V₂/V₁ = 3³

648/V₁ = 27

648 = 27V₁

V₁ = 648/27 = 24 m³

The volume of the smaller pyramid is 24 m³.

D) Volume ratio

V₁/V₂ = 24/648 = 1/27

The volume ratio is 1/27.

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Cheryl is buying lace for her dance costume. One foot of lace costs 3 dollars. How much does each amount cost?
NemiM [27]

Answer:

3/4 of a foot will cost $2.25.

Step-by-step explanation:

This question is solved by rule of three, due to proportions.

One foot of lace costs 3 dollars. How much is 3/4 of a foot going to cost?

1 foot - 3 dollars

3/4 foot - x dollars

x = 3 \times \frac{3}{4} = \frac{9}{4} = 2.25

So

3/4 of a foot will cost $2.25.

7 0
2 years ago
Scientists want to know the total trout population in a part of Lake Michigan. They tagged and released 200 trouts back into the
blondinia [14]
The estimate would be 1200.

We will set up a proportion for this.  10 out of 60 of the sample were tagged, so that is the first ratio.  The 200 that were tagged would be in the numerator of the second ratio (10 was the portion tagged, and 200 is the portion tagged, so they both go on top).  We do not know the total number so we use a variable:

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Cross multiply:

10*x = 60*200
10x = 12000

Divide both sides by 10:
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x = 1200
6 0
3 years ago
Is the answer 14 Christmas trees?
harkovskaia [24]

Answer:

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5 0
2 years ago
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Veseljchak [2.6K]

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To get the GCF of 44 and 47, factor each value,then we choose copies of factors and multiply them.

4 0
3 years ago
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nexus9112 [7]

Answer:

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Step-by-step explanation:

V=lwh

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