Answer:
2√2 / 3 (first answer choice)
Step-by-step explanation:
If tan Ф < 0, then Ф must be in either Quadrant II or Quadrant IV.
If sin Ф = +1/3, then Ф (for this problem) is in Quadrant II.
Remembering that sin Ф = opp / hyp = 1 / 3, we use the Pythagorean Theorem to find the adj side:
adj² + 1² = 3², or
adj² + 1 = 9, or adj² = 8. Since Ф is in Quadrant II, adj is negative.
The value of cos Ф = adj / hyp = √8 / 3 = 2√2 / 3
Answer:
-4 < x < 7
Step-by-step explanation:
-12 < 2x - 4 <10 (add 4 across the inequality)
-12 + 4 < 2x <10 + 4
-8 < 2x < 14 (divide ineqality by 2)
-8/2 < x < 14/2
-4 < x < 7
Answer:
The answer can be calculated by doing the following steps;
Step-by-step explanation:
Answer:
218
Step-by-step explanation:
327*2/3=218
Answer:
Kami sold 28 large figurines
Step-by-step explanation:
L = number of large figurines
S = number of small figurines
L+S = 70 since he sold 70 figurines
12L = 8S since the amount of money collected for the large figurines is equal to the amount of money for the small figurines
L+S = 70
12L = 8S
Divide by 8
12/8 L = S
3/2 L = S
Substitute this into the first equation
L+S = 70
L + 3/2 L = 70
Get a common denominator
2/2 L + 3/2L = 70
5/2 L = 70
Multiply each side by 2/5
2/5 * 5/2 L = 70 * 2/5
L = 28
Kami sold 28 large figurines