Solve the problem.A part used in manufacturing is shown in the figure. If the upper and lower sections are parallel, what is the angle between the diagonal and the upper section? 39°

A. 39°
B. 129°
C. 51°
D. 141°


Answer: D

Mathematics

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Solve.When a principal P earns an annual interest rate r compounded yearly, the amount A after t years is A = P(1 + r)t. How long will it take for a principal to double at 8% compounded annually? Round to the nearest whole year.

A. t ? 10 years B. t ? 9 years C. t ? 5 years D. t ? 8 years

Mathematics

Find the value of k so that the equation will have exactly one rational solution.2x2 + 11x + k = 0

A.
B.
C. - 
D. None

Mathematics

In an adiabatic process (one in which no heat transfer takes place), the pressure P and volume V of an ideal gas such as oxygen satisfy the equation where C is a constant. Suppose that at a certain instant of time, the volume of the gas is 2L, the pressure is 100 kPa, and the pressure is decreasing at the rate of 5 kPa/sec. Find the rate at which the volume is changing.

What will be an ideal response?

Mathematics

Write the equation in standard form.y = (x + 4)2 - 2

A. y = x2 + 14 B. y = x2 + 8x + 14 C. y = x2 + 4x + 14 D. y = x + 14

Mathematics