Apainter places an 11-ft ladder against a house. the base of the ladder is 3 ft from the house. how high on the house does the ladder reach?

The ladder reach 10.58 feet

Step-by-step explanation:

In this problem a rectangle triangle is formed, with hypotenuse = 11 feet, a side = 3 feet and the other side is the unknown, i. e., how high on the house the ladder reach.  

From Pythagorean theorem:

hypotenuse^2 = side^2 + side^2

11^2 = 3^2 + side^2

side^2 = 11^2 - 3^2

side = sqrt(112)

side = 10.58 feet

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|