Solve the problem.A lot is in the shape of a right triangle. The shorter leg measures 90 m. The hypotenuse is 30 m longer than the length of the longer leg. How long is the longer leg?
A. 120 m
B. 150 m
C. 180 m
D. 90 m
Answer: A
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Provide an appropriate response.Consider the quartic function f(x) = ax4 + bx3 + cx2 + dx + e, a ? 0. Must this function have at least one critical point? Give reasons for your answer. (Hint: Must 
for some x?) How many local extreme values can f have?
What will be an ideal response?
Write the equation for the plane.The plane through the points P(-1, 7, -59) , Q(2, 4, -23) and 
A. 5x - 7y - z = -5 B. 5x - 7y - z = 5 C. 5x + 7y +z = -5 D. 5x + 7y + z = 5
Solve the problem.Christine contributes 
each month to her 
. To the nearest dollar, what will be the value of Christine's 
in 20 years if the per annum rate of return is assumed to be 
compounded monthly. Round to the nearest dollar.
A. $178,851 B. $66,390 C. $62,096 D. $189,842
Solve the equation for solutions in the interval [0°, 360°).sin 2? + cos 2? = 1
A. {0°, 90°, 180°, 270°} B. {0°} C. {0°, 45°, 180°, 225°} D. {33°, 57°, 123°, 147°, 213°, 237°, 303°}