Provide an appropriate response.The sum of all angles of a triangle is 180°. One angle is three times as big as the first angle. The third angle is 20 degrees larger than the first. Write an equation and solve to find how many degrees are in each angle.

Fill in the blank(s) with the appropriate word(s).


32°, 52°, 96°

Mathematics

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Provide an appropriate response.Suppose the velocity of a body moving along the s-axis is   = 9.8t - 8.Is it necessary to know the initial position of the body to find the body's displacement over some time interval? Justify your answer.

A. Yes, integration is not possible without knowing the initial position. B. No, the initial position is necessary to find the curve s= f(t) but not necessary to find the displacement. The initial position determines the integration constant. When finding the displacement the integration constant is subtracted out. C. No, displacement has nothing to do with the position of the body. D. Yes, knowing the initial position is the only way to find the exact positions at the beginning and end of the time interval. Those positions are needed to find the displacement.

Mathematics

Find the volume of the solid generated by revolving the region about the given line.The region in the first quadrant bounded above by the line y = 2, below by the curve y = , and on the left by the y-axis, about the line x = -1

A. ?
B. ?
C. ?
D. ?

Mathematics

Provide an appropriate response.The equation of a circle can be written in the form x2 + y2 = r2. Is this a function? Explain.

What will be an ideal response?

Mathematics

Provide an appropriate response.Which of the following statements is correct?

A. A gallon is slightly more than four liters B. A gallon is slightly less than four liters C. A liter is slightly more than four gallons D. A liter is slightly less than four gallons

Mathematics