Answer:
1) The terminal side lies in quadrant 2
2) cosФ = -15/17
3) tanФ = -8/15
Step-by-step explanation:
1) First, we should realize that since sinФ = 8/17, it is positive. Thus, Ф must be in quadrants 1 or 2. And since cosФ is negative, Ф must be in quadrant 2 because cos, sin, and tan are all positive in quadrant 1
2) Next, we must realize that the sides given are a 8-15-17 right triangle. And in this case, since sinФ = 8/17, cosФ should be 15/17. But since cosФ is negative, cosФ = -15/17
3) Lastly, tanФ is opposite/adjacent. Since opposite of Ф is 8 and adjacent of Ф is 15, then tanФ should be 8/15, but since Ф is in quadrant 2, then tanФ is -8/15
Study 5 times on the subject you are focusing on.
Complete question :
A bookstore manager marks down the price of older hardcover books, which originally sell for b dollars, by 52%.
a. Write the markdown as a decimal. b. Write an expression for the sale price of the hardcover book.
Answer:
0.52 ; 0.52b
Step-by-step explanation:
The markdown percentage = 52%
Expresaing markdown as a decimal :
52% = 52 / 100 = 0.52
Expression for the sale price of hardcover book:
Original price = b
Price was marked down by 0.52
Hence, sales price becomes ;
Original price * markdown
b * 0.52
0.52b
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➷ Multiply 4.6 by 4 to get the sum of the numbers after 5 was added:
4.6 x 4 = 18.4
^ This is the new total
Subtract 5 from this:
18.4 - 5 = 13.4
Divide this value by 3 to get the original mean:
13.4/3 = 67/15
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First write nine ten thousands in standard form which is 90,000. Next divide 90,000 by 10 and you should get 9,000 by crossing out one zero in both numbers. To get 9,000 in unit form all you have to write is 9 thousands. And your answer is 9 thousands