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anyanavicka [17]

4 years ago

6

What is the length of XQY?

2 answers:

yulyashka [42]4 years ago

3 0

Answer:

88

Step-by-step explanation:

First you must find the circumference of the entire circle and to do this you use 2πr. The radius in this case is PX=15. This means that the circumference is 30π. Now to find the arc length, we know that the measure of arc XY is 23 degrees, and since there are 360 total degrees in a circle, we must subtract 23 from 360 to get 337° as the measure of arc XQY. Now we have to find what portion of the circumference of the circle is in this arc, and to do this you divide the arc length (337°) by 360° and multiply by the circumference of the circle. Doing this would get you $\frac{337}{360} *30\pi$ which equals ~28. Finally, you have to multiply this by the value of pi and get approximately 88, which is your answer.

kompoz [17]4 years ago

3 0

The answer is 88 for the question

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The quantities x and y are proportional.

$x\ \ \ \ \ \ \ \ \ \ y \\1\frac{2}{9}\ \ \ \ \ \ \ 2\frac{1}{3}$

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Step-by-step explanation:

Given

$x\ \ \ \ \ \ \ \ \ \ y \\1\frac{2}{9}\ \ \ \ \ \ \ 2\frac{1}{3}$

Required

Determine the constant of proportionality (r)

Constant of proportionality (r) is calculated as

$y = rx$

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$2\frac{1}{3} = r * 1\frac{2}{9}$

Convert both fractions to improper fractions

$\frac{7}{3} = r * \frac{11}{9}$

Multiply both sides by $\frac{9}{11}$

$\frac{7}{3} * \frac{9}{11}= r * \frac{11}{9} * \frac{9}{11}$

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Reorder

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Divide the numerator and denominator by 3

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$r = \frac{21}{11}$

Convert to mixed fraction

$r = 1\frac{10}{11}$

<em>Hence, the constant of proportionality is </em> $1\frac{10}{11}$ <em></em>

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