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lbvjy [14]
1 year ago
8

What is the positive angle less than 2π that is coterminal with 14π/6

Mathematics
1 answer:
Dahasolnce [82]1 year ago
3 0

Coterminal angles are angles that are made by the positive x-axis of the coordinate plane. The positive angle that is less than 2π and is coterminal with 14π/6 is  1/3π.

<h3>What are coterminal angles?</h3>

Coterminal angles are angles that are made by the positive x-axis of the coordinate plane.

The angle that 14π/6 makes from the positive x-axis is 1/3π, which is equal to 60°.

Hence, the positive angle that is less than 2π and is coterminal with 14π/6 is  1/3π.

Learn more about Coterminal Angle:

brainly.com/question/23093580

#SPJ1

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makvit [3.9K]

Answer: C. There are four groups of three tens and six ones

Step-by-step explanation:

From the options,

A. Three groups each have three tens and 4 ones.

Three tens and 4 ones equal: = (3 × 10) + (4 × 1) = 30 + 4 = 34

Therefore, 34 ÷ 3 is incorrect.

B. There are three groups of five tens and 9 ones in each group.

Five tens and 9 ones will be equal to:

= (5 × 10) + (9 × 1)

= 50 + 9 = 59

Therefore, 59 ÷ 3 is incorrect

C. There are four groups of three tens and six ones.

Three tens and six ones equal:

= (3 × 10) + (6 × 1)

= 30 + 6 = 36

Therefore, 36 ÷ 4 is correct

D. There are three groups of five tens and nine ones in each group.

Five tens and nine ones will be equal to:

= (5 × 10) + (9 × 1)

= 50 + 9 = 59

Therefore, 59 ÷ 3 is incorrect

Therefore, the correct option is C.

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Answer: 108 degrees

============================================================

Explanation:

Angle ABC is given to be 90 degrees. By the converse of Thales Theorem, we know that AC is a diameter of the circle. 
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Therefore, arc AC is 180 degrees as this is half the distance around the circle.

minor arc AD = 72
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