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Readme [11.4K]
3 years ago
13

The radius of a cylinder is doubled and its height is halved. Find the ratios of their surface areas.

Mathematics
1 answer:
Inessa [10]3 years ago
5 0

Answer: 1:1

Step-by-step explanation:

Let r be the radius and h be the height of a cylinder.

Formula: Curved surface area of cylinder = 2\pi rh

Now, if  radius of a cylinder is doubled and its height is halved, then new radius will be R= 2r and new height  will be  H=\dfrac{1}{2}

Now, new surface area = 2\pi RH= 2\pi(2r)\dfrac{h}{2}= 2\pi rh

Ratio of curved surface areas : \dfrac{\text{Surface area}}{\text{New surface area}}=\dfrac{2\pi rh}{2\pi rh}=\dfrac{1}{1}

Hence, the ratios of their surface areas = 1:1 .

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At camp in Green Bay, Wisconsin, 7/9 of the participants were from Wisconsin. Of that group 3/5 were 12 years old. What fraction
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Since the problem stated that 7/9 of the participants were from Wisconsin, so 2/9 of it were not from Wisconsin. Now out of 7/9 participants, 3/5 of them were 12 years old, so 2/5 of them are not 12 years old. Since we now know the fractions, we'll get the equation 7/9 x 3/5 multiply 7 and 3 then divide it to the product of 9 and 5 to have the answer of 7/15. 7/15 of the participants of the camp in Green Bay is from Wisconsin and are 12 years old.
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3 years ago
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scZoUnD [109]

Answer:

-4/9

Step-by-step explanation:

We first calculate the first bracket.

[2/3-(-4/9)]

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Then we convert -2 1/2 into an improper fraction.

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Finally we calculate the division by swapping the numerator and denominator of -5/2.

10/9 / -5/2

= 10/9 * -2/5

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= -4/9 (simplify the terms)

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Julie sent 200 emails last month. This month she sent 40% less. How many
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Answer:

She sent 120 emails this month.

Step-by-step explanation:

Multiply 200 by .60 (60 percent) and it will give you 120.

I used 60 instead of 40 because the problem said 40 percent less, NOT 40 percent of 200.

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