How long is the arc intersected by a 2pi/3 radian central angle in a circle with radius 7 feet?

Formula to find the central angle is,

Where, s = arc length

r = radius

= central angle in radian.

According to the given problem,

r = 7 and .

First step is to plug in these values in the above formula. So,

By simplifying.

Since

s=14.65

Hence, arc length iss 14.65 feet.

i just took the test, the correct answer is .. 31.5 in.

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