Answer:
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Step-by-step explanation:
Answer is a.
To fine when Camryn will practice both the trumpet in the flute again, you will list the multiples of 11 and 3 in order to find the least common multiple.
3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33
11, 22, 33
They both will happen on the 33rd day, so Camryn will have both lessons again in 33 days.
SA=2(lw+wh+lh) This is the formula for finding the surface area of a rectangular prism, where SA is surface area, l is length, w is width, and h is height.
208=2(lw+wh+lh)
104=lw+wh+lh Here, I divided both sides by 2 to get ride of the 2.
Now, I used prime factorization to find out all the prime factors of 104, which are 2, 2, 2, and 13. Since rectangular prisms only have 3 dimensions, I needed to combine two of the prime factors. In this case, I can either combine 2 of the 2s to get 2, 4, and 13 or I can combine 13 with one of the 2s to get 26, 2, and 2.
If my dimensions were 2, 4, and 13...
my surface area would be 172 sq cm.
If my dimensions were 2, 2, and 26...
my surface area would be 208 sq cm.
Hence, the width of the rectangular prism when the surface area is 208 square centimeters can be either 2 or 26.
Opposite side = sqrt (3^2 - 2^2 ) = sqrt5
sin theta = -sqrt 5 / 3 as the sine is negative in the 3rd quadrant
csc theta = - 3 / sqrt5
Her new salary is $40,500