A ladder is leaning against the side of a house. If the ladder is 12 feet tall and it is
reaching 8 feet vertically on the house,
how far away from the house is the base
of the ladder (in feet)?

8.94 ft

Step-by-step explanation:

The ladder leaning against the perpendicular wall forms a right angled triangle. As per Pythagorus theorem,

a^2 + b^2 = c^2

8^2 + b^2 = 12^2

64 + b^2 = 144

b^2 = 144 - 64 = √80= 8.94 feet

75

step-by-step explanation:

you do x-29=46 (the number of cantaloupes sold)

in order to find x, you have to find what minus 29 equals 46, meaning you'd have to add 29 to 46.

29+46=75

if you replace x with 75, the equation looks like:

75-29=46

x=75