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Vlad [161]
3 years ago
12

Plzz help i wasted my points on this

Mathematics
1 answer:
aliya0001 [1]3 years ago
6 0

1. To estimate, lets round the dimensions to 14 feet and 12 feet. Then, we calculate the perimeter as usual.

(14 + 12)2 = 26 * 2 = 52 feet as an estimate.

2. We need to write 8 and 3 inches in feet, and to do that we divide by 12, giving us 2/3 and 1/4. So, the mixed numbers are 13 2/3 feet and 12 1/4 feet. Each fraction represents the inches.

3. Using the fractions, we can find the perimeter.

(13 2/3 + 12 1/4)2 = 25 11/12 * 2 = 51 10/12 = 51 5/6 feet.

4. Our result from part 3 is pretty close to our estimate from part 1 - just 1/6 feet, or 2 inches off.

5. Now, we can just subtract the width of the doorway from our perimeter.

51 5/6 - 2 1/4 = 49 7/12 feet.

6. Finally, we divide our new perimeter by 8, and then round up.

49 7/12 / 8 ≈ 7 boards.

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<u>Answer:</u>

If the circumference of a circle is changed from 9 cm to 3 cm, then the diameter decreases by a factor of 3.

<u>Solution:</u>

Given, the circumference of a circle is changed from 9 cm to 3 cm,  

We have to find how will the diameter change from the given equations?  

We know that, diameter = 2 \times radius and circumference = 2π \times radius.

\text { Now, circumference }=\pi \times(2 \times \text { radius }) \rightarrow \text { circumference }=\pi \times \text { diameter }

\text { At initial stage } \rightarrow \text { circumference }=9 \rightarrow \pi \times \text { diameter }=9 \rightarrow \text { diameter }=\frac{9}{\pi}

\text { Now, after change } \rightarrow \text { circumference }=3 \rightarrow \pi \times \text { diameter }=3 \rightarrow \text { diameter }=\frac{3}{\pi}

\text { Now, for finding change in factor }=\frac{\text { new diameter }}{\text { old diameter }}=\frac{\frac{3}{\pi}}{\frac{9}{\pi}}=\frac{3}{9}=\frac{1}{3}

Hence, the diameter decreases by a factor of 3.

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