Mr. Haley is leaning a ladder against the side of his house to repair the roof. The top of the ladder reaches the roof, which is 16 feet high.
The base of the ladder is 12 feet away from the house, where Mr. Haley's son is holding it steady.
How long is the ladder?

20 feet

Step-by-step explanation:

Remember the Pythagorean theorem,

x^2 + y^2 = n^2

in this case

x= 16

y = 12

so substitute back into the equation

16^2 + 12^2 = n^2

256 + 144 = n^2

400 = n^2

sqrt ( 400) = n

20 = n

1,407.5 hours

step-by-step explanation:

we first convert all the time to hours and then sum them up.

there are 24 hours in 1 day, in 58 days, there are 24 x 58 = 1,392 hours.

there are 60 minutes in 1 hour, thus, 30 minutes will be equivalent to 30 / 60 = 0.5 hours.

therefore, the number of hours it will take mercury to complete a full rotation is 1,392 + 15 + 0.5 = 1,407.5 hours

question

given the diagram below, what is md?

the sum of the interior angles is 360°

take away from 360 the sum of the knows angles and you will have the angle d.

360 - 108 - 108 - 72 = 72°