Mathematics: In circle R with the measure of arc QS=30 find m

05.06.2021

In circle R with the measure of arc QS=30 find m

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Mathematics

In circle C, SQ = 10 cm. Circle C is shown. Chords S Q and R P intersect at point C. Angle P C Q is 30 degrees. Which statements about the circle are correct? Check all that apply. Arc PQ is congruent to arc SR. The measure of arc QR is 150°. The circumference of circle C is 20π cm. Arc PS measures about 13.1 cm. Arc QS measures about 15.7 cm.

Step-by-step answer

P Answered by PhD

1-Arc PQ is congruent to arc SR.

2-The measure of arc QR is 150°.

4-Arc PS measures about 13.1 cm.

5-Arc QS measures about 15.7 cm

Step-by-step explanation:

1,2,4,5

Mathematics

1. ethan is using his compass and straightedge to complete a construction of a polygon inscribed in a circle. which polygon is he in the process of constructing? a. an equilateral triangle b. a square c. a regular pentagon d. a regular hexagon 2. what construction does the image below demonstrate? what construction does the image below demonstrate? a. the circumcenter of a regular hexagon b. the incenter of a regular hexagon c. a regular hexagon circumscribed about a circle d. a regular hexagon inscribed in a circle 3. an architect plans to draw

Step-by-step answer

P Answered by Specialist

1. A.
2. D.
3. C.
4. D.
5. student 4

1. ethan is using his compass and straightedge to complete a construction of a polygon inscribed in

Mathematics

Step-by-step answer

P Answered by Specialist

1. A.
2. D.
3. C.
4. D.
5. student 4

1. ethan is using his compass and straightedge to complete a construction of a polygon inscribed in

Mathematics

In circle P diameter QS measures 30 cm. What is the approximate length of arc QR? Round to the nearest tenth of a centimeter a. 7.2 cm b. 25.8 cm c. 94.2 cm d. 14.4 cm PLEASE HURRY :)

Step-by-step answer

P Answered by PhD

Given:

The diameter of the circle P is 30 cm.

The radius of the circle P is 15 cm.

The measure of ∠RPS is 125°

We need to determine the arc length of QR.

Measure of ∠QPR:

The angles QPR and RPS are linear pairs.

Thus, we have;

$\angle QPR + \angle RPS=180^{\circ}$

Substituting the values, we have;

$\angle QPR + 125^{\circ}=180^{\circ}$

$\angle QPR =55^{\circ}$

Thus, the measure of ∠QPR is 55°

Arc length of QR:

The arc length of QR can be determined using the formula,

$Arc \ length =(\frac{\theta}{360})2 \pi r$

Substituting $\theta=55$ and r =15, we get;

$Arc \ length =(\frac{55}{360})2 (3.14)(15)$

$Arc\ length = \frac{5181}{360}$

$Arc \ length =14.4 \ cm$

Thus, the arc length of QR is 14.4 cm.

Hence, Option d is the correct answer.

Mathematics

In circle P diameter QS measures 30 cm. What is the approximate length of arc QR? Round to the nearest tenth of a centimeter a. 7.2 cm b. 25.8 cm c. 94.2 cm d. 14.4 cm PLEASE HURRY :)

Step-by-step answer

P Answered by PhD

Given:

The diameter of the circle P is 30 cm.

The radius of the circle P is 15 cm.

The measure of ∠RPS is 125°

We need to determine the arc length of QR.

Measure of ∠QPR:

The angles QPR and RPS are linear pairs.

Thus, we have;

$\angle QPR + \angle RPS=180^{\circ}$

Substituting the values, we have;

$\angle QPR + 125^{\circ}=180^{\circ}$

$\angle QPR =55^{\circ}$

Thus, the measure of ∠QPR is 55°

Arc length of QR:

The arc length of QR can be determined using the formula,

$Arc \ length =(\frac{\theta}{360})2 \pi r$

Substituting $\theta=55$ and r =15, we get;

$Arc \ length =(\frac{55}{360})2 (3.14)(15)$

$Arc\ length = \frac{5181}{360}$

$Arc \ length =14.4 \ cm$

Thus, the arc length of QR is 14.4 cm.

Hence, Option d is the correct answer.

Mathematics

Neil places £2000 in a bank account that pays 1.5% simple interest per year. How much interest will he earn in 6 years?

Step-by-step answer

P Answered by PhD

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

Mathematics

The last time Robert filled up his car with gas, he paid $24.50 for 7 gallons. This time, he needs 15 gallons. If the price is the same, how much will he pay?

Step-by-step answer

P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics

A new school randomly assigns a six-character student code to every prospective student. The school uses the characters 1, 2, 3, 4, 5, X, Y, and Z. If none of the student codes contain a repeated character, what is the total number of codes that can be randomly assigned?

Step-by-step answer

P Answered by PhD

The total nom of code that can be used is equal to 5+3 = 8

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P Answered by PhD

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Which number is the smallest? 4.4 ⋅ 10−5, 3.99 ⋅ 10−6, 2.6 ⋅ 102, 1.85 ⋅ 103

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The answer is in the image

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