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lilavasa [31]
3 years ago
11

Which statements are true about circle Q? Check all that apply.

Mathematics
2 answers:
Aloiza [94]3 years ago
8 0

Answer:

The ratio of the measure of central angle PQR to the measure of the entire circle is 1/8; The area of the shaded sector depends on the length of the radius; The area of the shaded sector depends on the area of the circle.

Step-by-step explanation:

The measure of the central angle is 45°.  The measure of the entire circle is 360°.  This makes the ratio of the central angle to the entire circle

45/360 = 9/72 = 1/8

To find the area of the shaded sector, we will find the area of the circle and multiply it by 1/8:

A = πr² = π(6²) = 36π

1/8(36π) = 36π/8 = 18π/4 = 9π/2 = 4.5π square units.  This is not 4 square units.

The area of the shaded sector depends on the radius of the circle, since we use the radius of the circle to find the area.

The area of the shaded sector also depends on the area of the circle, as the sector is a portion of the circle.

The ratio of the area of the shaded sector to the area of the circle would not be the same as the ratio of the length of the arc to the area of the circle; it would be the same as the ratio of the length of the arc to the circumference of the circle (area is not a measurement of length, circumference is).

-BARSIC- [3]3 years ago
3 0
<span>The ratio of the measure of central angle PQR to the measure of the entire circle is 1/8.

The area of the shaded sector depends on the length of the radius.

The area of the shaded sector depends on the area of the circle.</span>
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Step-by-step explanation:

This right triangle is a 30-60-90 triangle. This is a special triangle. Since this is a special triangle, the hypotenuse is 2x.

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2x=18

x=9

Since we got 9, you would think it is the answer, but it's not. The length across the 60° angle is x√3. Now that we know the length across from 60°, we can plug in x.

9√3

We can check our answer by using Pythagorean Theorem.

9²+(9√3)²=18²

81+243=18²

324=324

Since they are equal, we know we have the right answer.

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3 years ago
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Step-by-step explanation:

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3 years ago
What is the sum of the interior angles in this shape?
Dmitrij [34]

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The odds of winning a rifle are 1:9 the probability of winning a carnival game is 0.15 does the raffle or the carnival game give
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Answer:

Hence the carnival game gives you better chance of winning.

Step-by-step explanation:

Let the event of win be given by 1/10 in the game of rifle then the event of loose is given by 9/10

the

Odds in favor of a game are given by  = P(Event)/ 1- P(Event)

Odds in favor of winning a rifle are given by = 1/10/ 1- 1/10

                                                                         =1/10/9/10

                                                                          =1/9

                                                                             = 0.111

The probability of winning aa rifle game is 0.111

The probability of winning the carnival game is 0.15

Comparing the two probabilities   0.111:0.15

The probability of  winning carnival game is greater than winning a rifle game

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Hence the carnival game gives you better chance of winning.

3 0
3 years ago
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