Solve the problem.How many rectangles (of any size) are there in the last two figures?  ? 1 rectangle  ? 3 rectangles  ?  rectangles 

/> ?  rectanglesLook for a pattern. How many rectangles are in a 1 × n strip? How many rectangles would there be in a  strip?



What will be an ideal response?

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5 + 4 + 3 + 2 + 1 = 15 rectangles
9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 45 rectangles
In a 1 × n strip there are  rectangles
In a 1 × 4252 strip there would be 9,041,878 rectangles.

Mathematics

Provide an appropriate response.Use the tangent function to find the indicated part of triangle ABC. Round to four significant digits. Find a if A = 31.7° and b = 6.4 ft.

A. 3.953 ft B. 6.4000 ft C. 10.36 ft D. 0.09650 ft

Answer the question.For f(x) = 2x - 5 and g(x) = , what is the domain of g?f?

A.
B.
C.
D.

A plane flying horizontally at an altitude of 1 mi and a speed of 550 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station.

a. ? 476 mi/h b. ? 670 mi/h c. ? 455 mi/h d. ? 570 mi/h e. ? 495 mi/h

Find all zeros of the function and write the polynomial as a product of linear factors.f(x) = x3 + 5x2 + 4x - 10

A. f(x) = (x + 1)(x + 3 + i)(x - 1 - i)
B. f(x) = (x - 1)(x + 3 + i)(x + 3 - i)
C. f(x) = (x - 1)(x + 3 + i)(x + 3 - i)
D. f(x) = (x - 1)(x + 3 + i)(x - 3 - i)