Mathematics, 22.09.2020 14:01, leo4687

The base of pyramid A is a rectangle with a length of 10 meters and a width of 20 meters. The base of pyramid B is a square with 10-meter sides. The heights of the pyramids are the same.

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answered: aesthvx44

Step-by-step explanation:

Given question is incomplete; here is the complete question.

The base of pyramid A is a rectangle with a length of 10 meters and a width of 20 meters. The base of pyramid B is a square with 10-meter sides. The heights of the pyramids are the same.

The volume of pyramid A is ____ the volume of pyramid B. If the height of pyramid B increases to twice that of pyramid A, the new volume of pyramid B is ______the volume of pyramid A.

Since, volume of pyramid = $\frac{1}{3}(\text{Area of the base})(\text{Height})$

Volume of the pyramid A = $\frac{1}{3}(\text{length}\times \text{Width})(\text{height})$

= $\frac{1}{3}(10\times 20)(h)$

= $\frac{200h}{3}$

Volume of pyramid B = $\frac{1}{3}(10)^2(h)$

= $\frac{100h}{3}$

Ratio of the volumes of the pyramids = $\frac{\text{Volume of pyramid A}}{\text{Volume of pyramid B}}$

= $\frac{\frac{200h}{3}}{\frac{100h}{3} }$

= 2

Therefore, volume of pyramid A is TWICE the volume of pyramid B.

If If height of the pyramid B increases twice of pyramid A,

Then the volume of pyramid B = $\frac{1}{3}(100)(2h)$

= $\frac{200h}{3}$

Ratio of volumes of pyramid B and pyramid A = $\frac{\text{Volume of pyramid B}}{\text{Volume of pyramid A}}$

= $\frac{\frac{200h}{3}}{\frac{200h}{3}}$

= 1

Therefore, new volume of pyramid B is EQUAL to the volume of pyramid A.

answered: Guest

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 | - 4 (rewriting in general form)

y = | x - (- 3) | - 4

the "-4 " term means that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

Which of the following functions is graphed below?

answered: Guest

you cant answer this dummy

step-by-step explanation:

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The base of pyramid A is a rectangle with a length of 10 meters and a width of 20 meters. The base o...