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Ugo [173]
3 years ago
11

If the diameter of a circle changes from 18 cm to 6 cm, how will the circumference change?

Mathematics
1 answer:
omeli [17]3 years ago
6 0
We know that 

the length of a circumference=2*pi*r
for D1=18 cm--------------> r1=9cm
L1=2pi*9-------> 18pi cm

for D2=6 cm-----------> r2=3 cm
L2=2pi*3-------> 6pi cm

L2/L1----------> (6pi)/(18pi)---->1/3

the answer is the option A) multiplies by 1/3
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Answer:

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Step-by-step explanation:

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Answer:

A figure moving up, a figure moving left, and a figure moving down.

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Ava has a dozen apples of the same size and a dozen watermelons of the same size. Ava uses her juicer to extract 14 ounces of wa
ExtremeBDS [4]

Answer:

85.9%

Step-by-step explanation:

We know that she has a dozen watermelons and apples each. Dozen = 12.

If we can get 14 ounces of watermelon juice from 2 watermelons, that means from 12 watermelons we can get 84 ounces.

12/2 = 6

14 x 6 = 84

If we can get 1 ounce of apple juice from 7 apples, that means from 12 apples we can get 11.9 ounces.

12/7 = 1.7

7 x 1.7 = 11.9

So, we are using an equal number of watermelons and apples. We are using 12 apples and 12 watermelons in this real life equation. The fraction would be: 84/11.9.

To solve the percent of how much watermelon juice is being used in the blend, we just need to:

Divide 84 from 11.9:

11.9/84 = 0.141

I am doing this way because I could not get 84/11.9 into a percent without it going over 100%. Next step is to multiply by 100.

0.141 x 100 = 14.1%

Next, subtract 100% from 14.1%.

100% - 14.1% = 85.9%

Therefore, the answer is 85.9%.  I hope this helps.

I rethought this, so if it is asking for a percentage greater than 100, then here is my original answer (which did not make sense to me so i took a different route):

"We know that she has a dozen watermelons and apples each. Dozen = 12.

If we can get 14 ounces of watermelon juice from 2 watermelons, that means from 12 watermelons we can get 84 ounces.

12/2 = 6

14 x 6 = 84

If we can get 1 ounce of apple juice from 7 apples, that means from 12 apples we can get 11.9 ounces.

12/7 = 1.7

7 x 1.7 = 11.9

So, we are using an equal number of watermelons and apples. We are using 12 apples and 12 watermelons in this real life equation. The fraction would be: 84/11.9.

To solve the percent of how much watermelon juice is being used in the blend, we just need to:

Divide 84 from 11.9:

84/11.9 = 7.05

Multiply by 100:

7.05 x 100 = 705

Therefore, the answer is 705%. I have never seen a percentage over 100, but I hope this helps. "

3 0
2 years ago
A pair of angles is supplementary if the sum of their measures is 180 degrees. A pair of angels is complementary if the sum of t
Hunter-Best [27]

Answer:

The measure of the complement =

= 80°

The measure of the supplement=

= 170°

Step-by-step explanation:

Let

90-x equal the degree measure of its complement

180-x equal the degree measure of its supplement.

We are told in the question that: the supplement of a given angle is 10 degrees more than twice its complement.

Hence, the Equation is;

(180 - x) = 10° + 2(90 - x)

180 - x = 10 + 180 - 2x

Collect like terms

-x + 2x = 10 + 180 - 180

x = 10°

Hence,

The measure of the complement =

90 - x

= 90 - 10

= 80°

The measure of the supplement=

180 - x

= 180 - 10

= 170°

5 0
3 years ago
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