Translate the problem to a system of equations and then solve.The perimeter of a triangle is 44 cm. The triangle is isosceles now, but if its base was lengthened by 6 cm and each leg was shortened by 7 cm, it would be equilateral. Find the base of the original triangle.
A. 5 cm
B. 6 cm
C. 12 cm
D. 19 cm
Answer: B
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Use a finite sum to estimate the average value of the function on the given interval by partitioning the interval and evaluating the function at the midpoints of the subintervals.f(t) = 4e-t cos 2?t on [-2, 3] divided into 5 subintervals (Round to the nearest hundredth.)
A. -5.63 B. -76.57 C. 5.63 D. -29.63
Find the reference angle for the given angle.395°
A. 145° B. 125° C. 35° D. 55°
Snow began falling at noon on Sunday. The amount of snow on the ground at a certain location at time t was given by the function
?
?
where t is measured in days from the start of the snowfall and h(t) is the depth of snow in inches. Draw a graph of this function and use your graph to answer the following questions.
?
(a) What happened shortly after noon on Tuesday?
(b) Was there ever more than 6 in. of snow on the ground? If so, on what day(s)?
(c) On what day and at what time did the snow disappear completely?
?
A. (a) It started to snow again.(b) No.(c) Before noon on Saturday. B. (a) It started to snow again.(b) No.(c) Before midnight on Saturday night. C. (a) It started to snow again.(b) Yes. On Monday.(c) Before midnight on Saturday night. D. (a) It stopped snowing.(b) No.(c) Before midnight on Saturday night. E. (a) It stopped snowing.(b) Yes. On Monday.(c) Before noon on Saturday.
Find the center (h, k) and radius r of the circle. Graph the circle.x2 + y2 + 6x + 4y - 12 = 0 
A. (h, k) = (3, 2); r = 5
B. (h, k) = (3, -2); r = 5
C. (h, k) = (-3, 2); r = 5
D. (h, k) = (-3, -2); r = 5