Nightingale College Find the Length of The Hypotenuse Algebra Questions

1.Find the GCF−10c13+4c11+2c9+10c8−12c6=-10c13+4c11+2c9+10c8-12c6=
(
)
2.Solve.
9×2+4=−12x
3.Find the length of the hypotenuse if the length of the legs are 10 inches and 9
inches. Round to two decimal places.
The length of the hypotenuse is
inches
4.One side of a rectangle is 2020 cm longer than four times another side. The area of
the rectangle is 704704 cm2. Find the length of the longer side.
cm
5.An object is dropped from a height of 64 feet off the ground. The height hh of the
object after tt seconds can be found using the equation h=64−16t2h=64-16t2
When will the height be 48 feet?
seconds
When will the object reach the ground?
seconds
6.An object is dropped from a height of 400 feet off the ground. The height hh of the
object after tt seconds can be found using the equation h=400−16t2h=400-16t2
When will the height be 256 feet?
seconds
When will the object reach the ground?
seconds
7. Find the length of the hypotenuse if the length of the legs are 12 inches and 6
inches. Round to two decimal places.
The length of the hypotenuse is
inches.
8. The shortest sides of a rigth triangle are 88 and 66 untis long. Find the length of the
hypotnuse.
unit
9. One side of a rectangle is 2020 ft longer than four times another side. The area of
the rectangle is 416416 ft2. Find the length of the longer side.
ft