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2 years ago

Three solid shapes a, b and c are similar.

Mathematics

1 answer:

Alik [6]2 years ago

5 0

The ratio of the height of shape A to the height of shape C is $\frac{3}{10}$

<h3>Calculations and Parameters:</h3><h3>First step:</h3>

Recall that similar figures have the same scale factor squared due to the ratio of its surface area.

Hence,

We would make:

z-----> the scale factor
x----> surface area shape A
y----> surface area shape B

$z^2 = x/y\\z= 2/5$

Therefore, the ratio of the height of shape A to the height of shape B is = $\frac{hA}{hB} = \frac{2}{5}$

To find the ratio of the height of shape B to the height of shape C, we would perform a similar operation which is:

$z^3 = 27/64\\z= 3/4$

The ratio is:

$\frac{hB}{hC} = \frac{3}{4}$

<h3>Final step:</h3>

To find the ratio of the height of shape A to the height of shape C would be:

$(\frac{hA}{hB}) (\frac{hB}{hC} )= \frac{hA}{hC}$

= 6/20

= 3/10

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3 years ago

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4 years ago

Standard form of a line passing through points (1, 3) and (-2, 5)

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Answer:

Step-by-step explanation:

As we move from (-2, 5) to (1, 3), x increases by 3 and y decreases by 2.

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Substitute 3 for y and 1 for x and -2/3 for m:

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3 years ago