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3 years ago

The two pyramids are similar. Find the volume of the smaller pyramid. Round your answer to the nearest hundredth.

Mathematics

1 answer:

mihalych1998 [28]3 years ago

5 0

Answer:

A) 5.12mm³

Step-by-step explanation:

Step 1

Find the volume of the bigger pyramid

This is a triangular based pyramid.

The formula to use is given as Volume of Pyramid =

1/3 × Area of the triangle × Height

Area of the triangle = 1/2 × 3 mm × 4mm = 6mm²

Volume of the large pyramid = 1/3 × 6mm² × 5mm

= 10mm³

We are given the length of the small pyramid as 4mm

We would be using was is known as scale factor to find the volume of the small pyramid

The scale factor k = (Height of the small pyramid)³/ (Height of the Large pyramid)³

k = 4³/5³

k = Volume of small pyramid/ Volume of large pyramid

Volume of small pyramid = X

Volume of large pyramid = 10mm³

Hence,

4³/5³ = X/10

Cross Multiply

= 4³ × 10 = 5³ × X

X = (4³ × 10)/ 5³

X = 5.12mm³

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belka [17]

Answer:

The given expression $\frac{a^3}{ab^{-4}}$ after the negative exponents have been eliminated becomes $\frac{a^3b^{4}}{ab^{2}}$

Step-by-step explanation:

Given expression $\frac{a^3b^{-2}}{ab^{-4}}$

We have to write expression after the negative exponents have been eliminated and a ≠ 0 and b ≠ 0.

Consider the given expression $\frac{a^3b^{-2}}{ab^{-4}}$

We have to eliminate the negative exponents,

Using property of exponents, $x^{-m}=\frac{1}{x^m}$ we have ,

$b^{-2}=\frac{1}{b^2} \\\\b^{-4}=\frac{1}{b^4}$

Substitute, we get,

$\frac{a^3}{ab^{-4}}$ becomes $\frac{a^3b^{4}}{ab^{2}}$

Thus, the given expression $\frac{a^3}{ab^{-4}}$ after the negative exponents have been eliminated becomes $\frac{a^3b^{4}}{ab^{2}}$

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4 years ago

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What is the solution to the equation? 3/4(4c+16)=2c+9

ella [17]

3/4(4c+16)=2c+9

We simplify the equation to the form, which is simple to understand
3/4(4c+16)=2c+9

Reorder the terms in parentheses
+(+3c+12)=2c+9

Remove unnecessary parentheses
+3c+12=+2c+9

We move all terms containing c to the left and all other terms to the right.
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We simplify left and right side of the equation.
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We divide both sides of the equation by 1 to get c.
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Hope this helped! :)

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3 years ago

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The figure shows a carpeted room. How many square feet of the room are carpeted?

Nadya [2.5K]

Answer:

Hello there, the answer would be

Step-by-step explanation:

We cut the figure into two different shapes.

Since on one side it is 4 feet and the height is seven, we cut right there.

So the bottom figure is now 4 x 5 = 20

The top figure is cut with 3 height left, So all we do is just multiply.