Geometry Answers

Find the perimeter of an isosceles triangle whose base is 40 cm and whose base angle is 70o

. Differentiate 10x² with respect to x.

Ray and Heather are upgrading the storage shed in their backyard. The existing shed has

the shape of a rectangular prism with dimensions 1 m by 2 m by 4 m. By what amount

should they increase each dimension so that the new shed is 9 times the volume of the

original shed? Provide a full algebraic solution.

a triangle has sides that measures 15 cm, 20 cm, and 25 cm. find the exact volume of the solid of revolution formed when the triangle is revolved about the side of length 25 cm.

A plan of a house is drawn to a scale of 1:50. The lounge is 8cm long and 6.8cm wide. Find in centimeters, its length and it's width on the plan.

A hemispherical container contains water to a depth of 10 cm. If the volume of the water inside the container is 5000m/3 cubic centimeter, find the diameter of the vessel.

The volume of a cone shaped hole is 16 on ft cubes if the hole is 3 feet deep is hat is the radius of the hole?

Problem A.1

The graph below is made of three line segments:

-1 1 2 3 4 5 6 7 8 9 10 11 12

1

2

3

4

y

x

f(x)

g(x)

h(x)

The segments correspond to the following three functions:

f(x) = x − 2, g(x) = p

4 − (x − 6)2 + 2, h(x) = x − 6

Find the total length L of the graph between x = 2 and x = 10.

Show the complete solution An anchor chain is wound around a drum with radius 1.5 ft.If the Drum is rotated through an angle of 250° how far will the anchor be lowered?

A single-lane street, 12 feet wide goes through a semi-circular tunnel with a radius of 10 feet. How high is the tunnel at the edge of each lane?