Solve the problem.A glass has circular cross sections that taper (linearly) from a radius of 7 cm at the top of the glass to a radius of 6 cm at the bottom. The glass is 14 cm high and full of lemonade. How much work is required to drink all the lemonade through a straw if your mouth is 8 cm above the top of the glass? Assume the density of lemonade equals the density of water. Round to two decimal places when appropriate.
A. 2.67 J
B. 3.8 J
C. 0.85 J
D. 48.71 J
Answer: A
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Use a sum-to-product identity to rewrite the expression.cos 8s - cos 3s
A. -2 sin(5.5s) sin(2.5s) B. 2 sin(5.5s) cos(2.5s) C. 2 cos(5.5s) cos(2.5s) D. -2 cos(5.5s) sin(2.5s)
Find all cube roots of the complex number. Leave answers in trigonometric form.64i
A. 1, -1, -i B. 4 cis 60°, 4 cis 180°, 4 cis 300° C. 4 cis 30°, 4 cis 150°, 4 cis 270° D. 4 cis 0°, 4 cis 120°, 4 cis 240°
Solve the problem.Use the average daily balance for the following credit card account to find the finance charge if interest is 1.31% per month on the average daily balance. Assume one month between billing dates. Previous balance $200.44. October 12Billing date October 20Payment$50.00 October 21Purchase$40.77 October 27Return$57.38 November 5Purchase$53.09
A. $3.06 B. $1.90 C. $2.29 D. $2.36
Use Heron's formula to find the area of the triangle. Round to the nearest square unit.a = 5 inches, b = 12 inches, c = 9 inches
A. 23 square inches B. 21 square inches C. 49 square inches D. 51 square inches