Consider the right triangle shown below that has an interior angle measure of θ radians. Use the slider in the applet above to show a circle centered at the left-most vertex of the triangle.

Consider the terminal point P.

What is the measure of the terminal point's vertical distance above the center of the circle in units of the radius of the circle?
   

What is the value of sin(θ)?
sin(θ)=

Consider the terminal point P.

What is the measure of the terminal point's horizontal distance to the right of the center of the circle in units of the radius of the circle?
   

What is the value of cos(theta)?
cos(θ)=

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x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer

$79500

step-by-step explanation:

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