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Arada [10]
3 years ago
9

1 3/4 divided by 1/2-1 1/2 to the 3rd

Mathematics
1 answer:
Marina CMI [18]3 years ago
6 0

Answer:

-7/4

1/8

Step-by-step explanation:

1. If the problem is; (1 3/4) / (1/2 - 1 1/2)^(3)

<u>(a). Convert to improper fractions;</u>

(7/4) / (1/2 - 3/2)^3

<u>(b). Simplify;</u>

(7/4) / (-2/2)^3

(7/4) / (-1)^3

(7/4) / (-1)

-7/4

2. If the problem is; ((1 3/4) / (1/2)) - (1 1/2)^3

<u>(a). Convert to improper fractions;</u>

((7/4)/ (1/2)) - (3/2)^3

<u>(b). Simplify;</u>

((7/4)/ (1/2)) - (3/2)^3

((7/4)*(2/1)) - (27/8)

(7/2) - (27/8)

(28/8) - (27/8)

1/8

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A rectangle and a square have the same area. The width of the rectangle is 2 in less than the side of the square and the length
lina2011 [118]
The area of a rectangle is A=LW, the area of a square is A=S^2.

W=S-2 and L=2S-3

And we are told that the areas of each figure are the same.

S^2=LW, using L and W found above we have:

S^2=(2S-3)(S-2)  perform indicated multiplication on right side

S^2=2S^2-4S-3S+6  combine like terms on right side

S^2=2S^2-7S+6  subtract S^2 from both sides

S^2-7S+6=0  factor:

S^2-S-6S+6=0

S(S-1)-6(S-1)=0

(S-6)(S-1)=0, since W=S-2, and W>0, S>2 so:

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W=S-2 and L=2S-3  given that S=6 in

W=4 in and L=9 in

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3 years ago
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A cylindrial hole is cut through the cylinder below.
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Answer:

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Step-by-step explanation:

We know that the volume of the Sphere is given by the formula

V= \pi r^2h

Where r is the radius and h is the height of the cylinder

We are asked to determine the radius of the hollow cylinder , which will be the difference of the solid cylinder and the cylinder being carved out.

V=V_1-V_2

V=\pi r_1^2 \times h-\pi r_2^2 \times h

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r_2 = 5 mm ( Half of the inner diameter )

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Putting these values in the formula for V we get

V=\pi \times 25\times (7^2-5^2)

V=3.14 \times 25 \times(49-25)

V=3.14 \times 25 \times 24

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