Consider circle c with angle acb measuring 3pi/4 radians. if minor arc ab measures 9π inches, what is the length of the radius of circle c? if necessary, round your answer to the nearest inch.

step

find the length of the circumference c

we know that

the circumference of a circle represent

so

by proportion

the circumference of a circle is equal to

step

find the radius of the circle

we know that

the circumference is equal to

solve for r

substitute the value of the circumference in the formula

therefore

the answer is

the radius of the circle is equal to

hope this !

step-by-step explanation:

d = distance between moon and sun, which in this problem is the hypotenuse of a right triangle.  

the distance y is the side opposite to angle x in the right triangle.   use the definition of the sine function from basic trigonometry.

sin(x) = y/d ⇒

d = y/sin(x)

15%

step-by-step explanation:

use the table and count the number of guesses that has two correct answers.

the following are two correct answers

10010, 01100, 11000

a total of 3 numbers having 2 correct guesses out of 20 questions.

probability of getting 2 correct guesses = the number of questions getting 2 correct answers / total number of questions.

= 3/20

to convert it into percent multiply by 100, we get

= 3/20 * 100

= 15%

the answer is 15%

you.