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AleksandrR [38]
2 years ago
5

Carlos cut StartFraction 5 Over 12 EndFraction of a yard of cloth into 5 pieces of equal length. What was the length of each pie

ce of cloth?
Mathematics
1 answer:
erastovalidia [21]2 years ago
5 0

Answer:

Each piece of cloth is (1/12) of a yard long.

Step-by-step explanation:

Carlus cut 5/12 of a yard of cloth into 5 pieces of equal length.

To find the length of each piece of cloth, we need to find the quotient between the length of the piece of cloth, and the number of pieces in which we divide it.

This is:

length = \frac{(5/12)yd}{5} = \frac{5yd}{12*5} = \frac{1yd}{12} \frac{5}{5}  = \frac{1 }{12} yd

This means that the length of each piece of cloth is (1/12) of a yard long.

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Your friend's swimming pool is in the shape of a rectangular prism, with a length of 25 feet, a width of 8 feet, and a height of
RUDIKE [14]

Answer:

Part a) V=1,000\ ft^{3}

Part b) h=5\ ft

Part c) =718\ gal

Step-by-step explanation:

Part a) What is the volume of your friend's swimming pool?

we know that

The volume of a rectangular prism is equal to

V=LWH

substitute the values

V=(25)(8)(5)=1,000\ ft^{3}

Part b) Your swimming pool is in the shape of a cylinder with a diameter of 16 feet and has the same volume as your friend's pool. What is the height of your pool?

we know that

The volume of a cylinder is equal to

V=\pi r^{2} h

we have

V=1,000\ ft^{3}

r=16/2=8\ ft ----> the radius is half the diameter

substitute and solve for h

1,000=\pi (8)^{2} h

h=1,000/(64 \pi)

h=1,000/(64*3.14)=5\ ft

Part c) While you were on vacation, 6 inches of water evaporated from your pool. About how many gallons of water evaporated from your pool?

remember that

1\ ft=12\ in

so

6\ in=6/12=0.5\ ft

Find the volume of water  for h=5-0.5=4.5\ ft

V=(3.14)(8)^{2}(4.5)=904.32\ ft^{3}

so

the volume of water evaporated is equal to

1,000\ ft^{3}-904.32\ ft^{3}=95.68\ ft^{3}

convert to gallons

remember that

1\ ft^{3}=7.5\ gal

so

95.68\ ft^{3}=95.68*7.5=718\ gal

5 0
2 years ago
Still I need sleep...
Pani-rosa [81]

Answer:

d) 28.472

Step-by-step explanation:

you need to find the length of all the outside edges. for the triangles you will need to use the pythagorean theorem

4 0
3 years ago
Draw triangle XYZ with vertices X (-3, 2), Y (4, -2) and Z (-3, -2) on the coordinate plane. Then find the area of the triangle
dmitriy555 [2]

Answer:

14 square units

Step-by-step explanation:

If you graph the points your triangle's height will be 4, and base would be 7.

<em>A = 1/2bh     4</em> x 7 = 28, 28 x 1/2 = 14.

Hope this helps :D

7 0
3 years ago
Read 2 more answers
What are the dimensions of the prism and what is the volume
Bess [88]

Answer:

in steps

Step-by-step explanation:

base width: 1/2 x 5 = 2.5

base length: 1/2 x 4 = 2

height: 1/2 x 3 = 1.5

Volume: lwh = 2.5 x 2 x 1.5 = 7.5 in³

5 0
3 years ago
What set of reflections would carry triangle ABC onto itself?
zmey [24]

Answer:

it is b

Step-by-step explanation:

3 0
3 years ago
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