Hi:) for 5(b) , I got 157.7 & 22.3 but in the answer key, the only correct answer is 157.7. I thought there should be 2 possible values?

Θ = 157.7°

Step-by-step explanation:

Given

cosΘ = - 0.925

Since cosΘ < 0 then Θ is in the second or third quadrant.

Since 0° ≤ Θ ≤ 180° then Θ is in the second quadrant. thus

Θ = (- 0.925) = 157.7° ← angle in second quadrant

There should be only 1 value (157.7°) since we reject the second value as θ lies in quadrant 1 and 2. Note that the 2nd value should have been 202.3°, which is greater than 180°.

Cosine of an angle negative in the 2nd and 3rd quadrant.

Step-by-step explanation:

Please see attached picture.

to find the unit price, we must figure out the cost of one item (in this case one dish towel).   to do this, we divide the total price ($7.92) by the number of items bought (for this problem it is 8, because there are eight dish towels in one pack).  

$7.92/8 = $0.99

therefore, the unit price, or the price of one dish towel, is $0.99.

hope this !

10 glasses of juice could be made with 5 carrots, 1,500 orange juice, 2,000 papaya juice.