Suppose an angle measuring "1 Gip" subtends an arc that is 1/15th of the circumference of any circle centered at its vertex, and an angle measuring "1 Quip" subtends an arc that is 1/9th of the circumference of any circle centered at its vertex. a. Angle A has a measure of 8 Gips. i. Since an angle making a full rotation measures 15 Gips and Angle A has a measure of 8 Gips, the arc subtended by Angle A's rays is 1/15 % of the circumference of any circle centered at Angle A's vertex. 11. Since an angle making a full rotation measures 9 Quips, the measure of Angle A in Quips must be Preview b. Angle B has a measure of 9.7 Gips. What is the measure of Angle B in Quips?

Question

Mathematics

Kenyon Kerr

5 March, 13:18

Suppose an angle measuring "1 Gip" subtends an arc that is 1/15th of the circumference of any circle centered at its vertex, and an angle measuring "1 Quip" subtends an arc that is 1/9th of the circumference of any circle centered at its vertex. a. Angle A has a measure of 8 Gips. i. Since an angle making a full rotation measures 15 Gips and Angle A has a measure of 8 Gips, the arc subtended by Angle A's rays is 1/15 % of the circumference of any circle centered at Angle A's vertex. 11. Since an angle making a full rotation measures 9 Quips, the measure of Angle A in Quips must be Preview b. Angle B has a measure of 9.7 Gips. What is the measure of Angle B in Quips?

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Answers (1)

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Kamari Montes · Answer 1

(a) (i) 8/15

(ii) 4.8 Quips

(b) 5.82 Quips

Step-by-step explanation:

(a)

(i) 1 Gip = 1/15 of a circumference

8 Gips = 8 * 1/15 of a circumference = 8/15 of circumference

(ii) 1 Gips = 1/15 of a circumference

15 Gips = 1 circumference

1 Quips = 1/9 of a circumference

9 Quips = 1 circumference

∴ 15 Gips = 9 Quips

1 Gip = 9/15 Quips

8 Gips = 8 * 9/15 Quips = 4.8 Quips

(b) 9.7 Gips = 9.7 * 9/15 Quips = 5.82 Quips