3. Shane has two SIMILAR regular pyramids with Pentagon-shaped bases.
The smaller has a scale factor of 2:3 when compared to the larger.
Only the smaller pyramid is shown.
He calculates the area of the base of the pyramid (through long, hard work) to be 110.11 square
units. The height of the pyramid is 12 units. He now needs to calculate the Volume of the pyramid
A. Calculate the Volume of the Pyramid for Shane

B. “oh, no!” Shane exclaims. “Now I have to go through all this hard work again to find the Volume of the larger pyramid!” Does he?

C. Calculate the Volume of the larger pyramid for Shane.

Need help please ASAP!

A) 440.44 units³

B) similar figures

C) 1486.485 units³

Step-by-step explanation:

Volume = ⅓× base area × height

= ⅓ × 110.11 × 12 = 440.44 units³

B) he doesn't have to make calculations again because the two pyramids are similar.

If the ratio of sides is given, he can find the other volume using:

(side1/side2)³ = volume1/volume2

(2/3)³ = 440.44/volume2

Volume2 = 440.44 × 27/8

Volume2 = 1486.485 units³

Step-by-step explanation:

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

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step-by-step explanation: