Establish the identity. = 

What will be an ideal response?


 =   =  = .

Mathematics

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Solve the equation graphically. Approximate the solution to the nearest hundredth, if appropriate. = 5

A.
B. 5
C.
D. 25

Mathematics

Given that the pair of triangles are similar, find x.

A. x = 32 B. x = 30 C. x = 40 D. x = 24

Mathematics

Provide an appropriate response.The series of sketches below starts with an equilateral triangle having sides of length 1 (one). In the following steps, equilateral triangles are constructed by joining the midpoints of the sides of the preceding triangle. Develop a formula for the length of the sides of the nth new triangle.

What will be an ideal response?

Mathematics

The tank shown is full of water. Given that water weighs 62.5 lb/ft and R = 5, find the work (in lb-ft) required to pump the water out of the tank.

Mathematics