Find the length of the height of the right trapezoid shown below, if it has the greatest possible area and its perimeter is equal to 6 units.

The height of the right trapezoid is  

Step-by-step explanation:

Let

x ----> the height of the right trapezoid in units

we know that

The perimeter of the figure is equal to

we have

---> because is a square

substitute

-----> equation A

In the right triangle CDH

so

Remember  that

so

substitute the values in the equation A

-----> equation A

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

answer: no

step-by-step explanation: because the big angle will spread away the 2 side that it is on and make the opposite side even longer.