Two sides of a right triangle ABC (C is the right angle) are given. Find the indicated trigonometric function of the given angle. Give exact answers with rational denominators.Find csc B when a = 5 and b = 6.

A.
B.
C.
D.


Answer: A

Mathematics

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Solve the problem.The velocity field F of a fluid is the spin field F = - i + j. Following the smooth curve y = f(x) from (a, f(a)) to (b, f(b)), show that the flux across the curve is ds = k[(a2 + (f(a))2)1/2 - (b2 + (f(b))2)1/2]

What will be an ideal response?

Mathematics

Solve the problem.The future value of  invested for 5 years at rate r, compounded annually, is given by . Find the rate r, as a percent, that gives a future value from $5610 to $6442, inclusive. Round to the nearest whole percent.

A. 8% ? r ? 13% B. 7% ? r ? 15% C. 6% ? r ? 9% D. 7% ? r ? 10%

Mathematics

Find the equation of a line with the properties given. Write the equation in the form indicated.Through (4, -3) and parallel to the line whose equation is y = -9x + 3;slope-intercept form

A. y = 9x - 33
B. y = - x - 
C. y = -9x - 33
D. y = -9x + 33

Mathematics

Provide an appropriate response.Jan's teacher asked her which number was larger, 11.679 or 11.681. Jan said that the first number was larger because it had 9 thousandths while the second number had only 1 thousandth. What is wrong with Jan's reasoning?

What will be an ideal response?

Mathematics