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Sergio039 [100]
2 years ago
7

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

of cloth?A. StartFraction 1 Over 60 EndFraction of a yardB. StartFraction 1 Over 25 EndFraction of a yardC. StartFraction 1 Over 12 EndFraction of a yardD. One-fifth of a yard
Mathematics
1 answer:
Rasek [7]2 years ago
4 0

Answer:

It is c

Step-by-step explanation:

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The answer to this question is - 3
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A hemisphere-shaped bowl with radius 1 foot is filled full with chocolate. All of the chocolate is then evenly distributed betwe
Wewaii [24]

The radius of each of the smaller molds is r = 1/3 ft. Using the volume of the given hemisphere, the required radius is calculated.

<h3>How to calculate the volume of a hemisphere?</h3>

The volume of the hemisphere is calculated by using the formula,

= \frac{2}{3} × π × r³ cubic units

where r is the radius of the hemisphere.

<h3>Calculation:</h3>

It is given that,

A hemisphere-shaped bowl with a radius r = 1 ft is filled with chocolate.

So, the volume of the bowl is

V =  \frac{2}{3} × π × (1)³

  =  \frac{2}{3} × π cubic feets

The volume of each smaller hemisphere-shaped mold =  \frac{2}{3} × π × r³ cubic units

So, for 27 molds, the volume = 27 × \frac{2}{3} × π × r³ cubic units

All of the chocolate is then evenly distributed between 27 congruent, smaller hemisphere-shaped molds.

Then,

\frac{2}{3} × π = 27 × \frac{2}{3} × π × r³

⇒ r³ = 1/27

⇒ r = 1/3 ft

Therefore, the required radius of each of the smaller molds is 1/3 foot.

Learn more about the volume of a hemisphere here:

brainly.com/question/15975126

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6 0
2 years ago
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Answer:

True

Step-by-step explanation:

Hi, the statement is true, because to divide a fraction we have to turn the second fraction upside down and multiply them. Since a whole number x can be written as x/1, it also applies to the case of dividing a fraction by a whole number.

We can prove it with an example.

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Multiplying the unit fractions by a unit fraction with a whole number as a denominator

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4 0
3 years ago
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The composite figure is made up of a rectangular prism and a___a0___.a1
zavuch27 [327]

Answer:

The composite figure is made up of a rectangular prism and  square pyramid

Step-by-step explanation:

The figure on top is square pyramid since the base is a square and the 4 sides are triangles.  The bottom is a rectangular prism since the figure is made up of side rectangular faces

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