Use sum-to-product identities to rewrite the expression as a product.cos 45° + cos 19°

A. 2 sin 32° cos 13°
B. 2 cos 32° sin 13°
C. 2 cos 32° cos 13°
D. -2 sin 32° sin 13°


Answer: C

Mathematics

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Write using radical notation. Then, simplify, if possible.(2165/3)1/5

A. 61/3 B. 1296 C. 216 D. 6

Mathematics

Given the set sketched on the number line, identify the type of interval (open, closed, half-open, open infinite, closed infinite), write the set using set-builder notation, and write the set using interval notation.

A. half-open interval; {x|-9 < x ? -3}; (-9, -3] B. closed interval; {x|-9 ? x ? -3}; [-9, -3] C. half-open interval; {x|-9 ? x < -3}; [-9, -3) D. open interval; {x|-9 < x < -3}; (-9, -3)

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Find the probability of drawing a red egg from a basket containing 9 red eggs and 11 blue eggs. ?

A.
B. ?
C. ?
D. ?
E. ?

Mathematics

Solve the problem.John (whose line of sight is 6 ft above horizontal) is trying to estimate the height of a tall oak tree. He first measures the angle of elevation from where he is standing as 35°. He walks 30 feet closer to the tree and finds that the angle of elevation has increased by 12°. Estimate the height of the tree rounded to the nearest whole number.

A. 90 ft B. 86 ft C. 61 ft D. 67 ft

Mathematics