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Oksana_A [137]
3 years ago
7

PLEASE HELP IM JUST TRYING TO MOVE FORWARD I DONT GET THESE

Mathematics
1 answer:
VladimirAG [237]3 years ago
6 0

Answer:

38.7 (rounding to the nearest 10th)

Step-by-step explanation:

tanx= 8/10

tan^-1(8/10)=x

x= about 38.7

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A rectangular prism with a volume of 2 cubic units is filled with cubes with side lengths of 1/4​ unit. How many 1/4 unit cubes
34kurt

Answer:

128

Step-by-step explanation:

Method A.

The volume of the prism is 2 cubic units.

Each cube has side length of 1/4 unit.

The volume of each cube is (1/4)^3 cubic unit.

The volume of each cube is 1/64 cubic unit.

To find the number of cubes that fit in the prism, we divide the volume of the prism by the volume of one cube.

(2 cubic units)/(1/64 cubic units) =

= 2/(1/64)

= 2 * 64

= 128

Method B.

Imagine that the prism has side lengths 1 unit, 1 unit, and 2 units (which does result in a 2 cubic unit volume.) Since each cube has side length 1/4 unit, then you can fit 4 cubes by 4 cubes by 8 cubes in the prism. Then the number of cubes is: 4 * 4 * 8 = 128

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