A circle has a circumference of 5. An arc in the circle has a central angle of 162°. What is the length of the arc?

The length of the arc is 2.25 units.

Step-by-step explanation:

The circumference of a circle is , where r is radius of the circle.

Total angle of a circle in degree is 360°.

Length of central angle formula

Given that,

A circle has a circumference of 5 units.An arc in the circle has a central angle of 162°.

Then,

                 =2.25 units.

The length of the arc is 2.25 units.

to find the perimeter of the rectangle this is the expression:

x-9+x-9+3x-4+3x-4=138

if we simplify it:

8x-26=138

remember, 138 is what it all adds up to

the length is 11.5cm

the width is 57.5cm

the area is 661.25cm^2

the answers might not be correct use at own risk

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560