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satela [25.4K]
3 years ago
13

A company makes a block of cheese in the shape of a rectangular prism with dimensions 4 inches by 2 inches by 2 inches. They wan

t to make a new
block in the shape of a rectangular pyramid, that uses the same amount of cheese. Determine two sets of possible dimensions for the pyramid.
Show and all work and explain your answer.
Mathematics
1 answer:
Art [367]3 years ago
8 0

Answer:

Step-by-step explanation:

pyramid has a height of 5 inches and a volume of 60 cubic inches. Select all figures that could be the base for this pyramid.

A:

a square with side length 6 inches

B:

a 3 inch by 4 inch rectangle

C:

a 4 inch by 9 inch rectangle

D:

a circle with radius 4 inches

E:

a right triangle with one side 5 inches and the hypotenuse 13 inches

F:

a hexagon with an area of 36 square inches

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Quadrilateral ABCD has vertices A(1, -3) , B(2, 1), C(6, 3), and D(7, -1). Prove or disprove that the Quad ABCD is a rectangle.
zavuch27 [327]
If AC=BD, than Quad ABCD is a rectangle
AC
√(3+3)²+(6-1)²
√6²+5²
√36+25
√61
BD
√(1+1)²+(2-7)²
√2²+(-5)²
√4+25
√29
Quad ABCD is not a rectangle because √61 and √29 are not equal.
7 0
3 years ago
Solve for x and y. Thank u so much!!​
Setler79 [48]
Y is 45 x is 30 I think
7 0
3 years ago
An amphitheater charges $74 for each seat in Section A, $59 for each seat in Section B, and $28 for each lawn seat. There are th
Ivenika [448]

Answer:

<h2>(4x+z)=13000------1</h2><h2>(4x+z)13000=503000----2</h2>

Step-by-step explanation:

let x be the number of seats in A,

y be the number of seats in B, and

z be the number of lawn seats.

y=3x

the total number of seats is given by

(x+y+z)=13000

put y=3x

(x+3x+z)=13000

(4x+z)=13000------1

also

(4x+z)13000=503000----2

hence the systems of equation is

(4x+z)=13000------1

(4x+z)13000=503000----2

7 0
2 years ago
54 sq. Ft. Rectangle 9 ft. Lenght what is width
densk [106]
6 because 54 divided by 9 is 6
7 0
3 years ago
jack purchases 12 gallons of gas on monday .he uses 2/3 of amount purchased communting to and from work during the week addition
Zigmanuir [339]
Gallon he uses to and from work = (2 / 3) of 12

12 * (2 / 3)
= 8 ----- he uses 8 gallons to and from work

 + 2 additinal for errands

therefore gallons for work + gallons for errand = *8 + 2
= 10

your answer is 10
6 0
3 years ago
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