Write an equation for a sine curve that has the given amplitude and period, and which passes through the given point.Amplitude 6, period ?/6, point (1/3, 0)

A. y = 6 sin 
B. y = 6 sin 
C. y = 6 sin 
D. y = 6 sin 


Answer: B

Mathematics

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Find the exact value of the expression.sin 20° cos 40° + cos 20° sin 40°

A.
B.
C.
D.

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Write as a percent.0.4

A. 0.04% B. 0.4% C. 400% D. 40%

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Use a graphical method to solve the system. Give x- and y-coordinates correct to the nearest hundredth.y = ex + 3x2 - 4y2 = 11

A. (2.75, 1.28) B. (2.75, -1.28) C. (1.04, -0.14), (3.52, -1.69) D. (-3.52, 0.59)

Mathematics

Solve the problem.A new homeowner has a triangular-shaped back yard. Two of the three sides measure 65 ft and 80 ft and form an included angle of 125°. The owner wants to approximate the area of the yard, so that he can determine the amount of fertilizer and grass seed to be purchased. Find the area of the yard rounded to the nearest square foot.

A. 2130 sq. ft B. 4260 sq. ft C. 5200 sq. ft D. 2129 sq. ft

Mathematics