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kirza4 [7]
2 years ago
10

The difference in the height of the two rectangles is 7 feet.

Mathematics
2 answers:
Andreyy892 years ago
7 0

Answer:

13.2

Step-by-step explanation:

Nina [5.8K]2 years ago
4 0

Answer:

y=13.2

Step-by-step explanation:

Since the difference in height is 7 feet all you need to do is add 7 feet to 6.2 which will equal 13.2

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An angle measures 14.8° less than the measure of its complementary angle. What is the measure of each angle?
Gre4nikov [31]

Answer:

The larger angle is 52. 4

The smaller angle is 37. 6

Step-by-step explanation:

The equation is:

(x-14. 8)+x=90

x+x-14. 8=90

2x=90+14. 8

2x=104. 8

x=52. 4

The value for the larger angle is x

and x =52. 4

The value for the smaller angle is x-14. 8

and x-14. 8=52.4-14.8

=37.6

Verification

(x-14.8)+ x=90

(52.4-14.8)+52.4=90

37.6+52.4=90

90=90

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A truck is being filled with cube-shaped packages that have side lengths of 1/4 foot. The part of the truck that is being filled
n200080 [17]

Answer:

24000 pieces.      

Step-by-step explanation:

Given:

Side lengths of cube = \frac{1}{4} \ foot

The part of the truck that is being filled is in the shape of a rectangular prism with dimensions of 8 ft x 6 1/4 ft x 7 1/2 ft.

Question asked:

What is the greatest number of packages that can fit in the truck?

Solution:

First of all we will find volume of cube, then volume of rectangular prism and then simply divide the volume of prism by volume of cube to find the greatest number of packages that can fit in the truck.

Volume\ of\ cube =a^{3}

                          =\frac{1}{4} \times\frac{1}{4}\times \frac{1}{4} =\frac{1}{64} \ cubic \ foot

                                   

Length = 8 foot, Breadth = 6\frac{1}{4} =\frac{25}{4} \ foot, Height =7\frac{1}{2} =\frac{15}{2} \ foot

Volume\ of\ rectangular\ prism =length\times breadth\times height

                                                =8\times\frac{25}{4} \times\frac{15}{2} \\=\frac{3000}{8} =375\ cubic\ foot

The greatest number of packages that can fit in the truck = Volume of prism divided by volume of cube

The greatest number of packages that can fit in the truck = \frac{375}{\frac{1}{64} } =375\times64=24000\ pieces\ of\ cube

Thus, the greatest number of packages that can fit in the truck is 24000 pieces.                                

7 0
3 years ago
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