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r-ruslan [8.4K]
2 years ago
11

Emilie draws a circle with a diameter of 10 inches. Ethan draws a circle with a diameter that is half as long as the diameter of

Emilie’s circle. How will the circumference of Ethan’s circle compare with the circumference of Emilie’s circle?
Mathematics
1 answer:
Andre45 [30]2 years ago
7 0
C=πr^2
Emilie d=10 so r=5
Ethan d=10/2=5 (half as long) r=2.5
Emilie c=π(5)^2=25π
Ethan c=π(2.5)^2=6.25π
6.25 is a fourth of 25 so the circumference of Ethan’s circle is a fourth of the circumference of Emily’s circle.
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Carla packed this box with 1 centimeter cubes what is the volume of the box
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Answer: 60\ cm^3

Step-by-step explanation:

<h3> The complete exercise is attached.</h3>

You can observe in the picture attached that the box is a rectangular prism.

The volume of a rectangular prism can be found with this formula:

V=lwh

Where "l" is the length, "w" is the width and "h" is the height.

You know that the lenght of each side of those cubes is 1 centimeter. Therefore, you can multiply the number of cubes on each side of the box by 1 centimeter in order to find the lenght, the width and the height of the box:

 l=(4)(1\ cm)=4\ cm\\\\w=(3)(1\ cm)=3\ cm\\\\h=(5)(1\ cm)=5\ cm

Now you can substitute the lenght, the width and the height of the box into the formula shown at the beginning of the explanation:

V=(4\ cm)(3\ cm)(5\ cm)

Finally, evaluating, you get that the volume of the box is:

V=60\ cm^3

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2 years ago
Julie is at the store buying groceries. She needs to get a quart of orange juice and some peaches. The quart of orange juice cos
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The answer is D
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Joe has a collection of 35 DVD movies. He received 8 of them as gifts. Joe bought the rest of his movies over years. If bought t
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He buys 9 dvds for 3 years
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on monday, it took 3 builders 5 1/2 hours to build a wall. an identical wall needs to be built on tuesday and 5 builders are ava
castortr0y [4]

Answer:

£29.37

Step-by-step explanation:

→ First step is to find the amount of hours it takes for 5 builders

\frac{3*\frac{11}{2} }{5} =\frac{33}{2} /5=\frac{33}{2} *\frac{1}{5} =\frac{33}{10} =3\frac{3}{10}

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11. In a gym the ratio of men to women with membership is 5:2. If the gym has 735 persons with membership, how many men will the
Doss [256]

The ratio is 5:7 when you are dealing with total membership. In other words, out of every 7 members, 5 will be men and 2 will be women

The ratio will look like this

5:7 = x:735             change to a proportion

5/7 = x / 735          Cross Multiply

7*x = 5 * 735          Combine the right

7*x = 3675             Divide by 7

x = 3675/7             Divide

x = 525

Answer: 525 men

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