Answer:
a = 139.1
b = 56.2
Step-by-step explanation:
A. Reference angle = 68°
Opp = a
Hyp = 150
Therefore:
Sin 68 = opp/hyp
Sin 68 = a/150
150*sin 68 = a
a = 139.1 (nearest tenth)
B. Reference angle = 68°
Adj = b
Hyp = 150
Therefore:
Cos 68 = adj/hyp
Cos 68 = b/150
150*cos 68 = b
b = 56.2 (nearest tenth)
Answer:
A
Step-by-step explanation:
find there common denominator which is 40
multiply 3 by 8 and 7 by 5 to get 24 and 35
35-24=11
11/40
18-7=11
11 11/40
Answer:
Step-by-step explanation:
the other angle is 38 as well
9514 1404 393
Answer:
a. Z: 30,000; T: 50,000
b. Z: 37.5%; T: 62.5%
Step-by-step explanation:
a. The "ratio units" add up to 3+5 = 8, so we can find the investment amounts by multiplying the ratio by 10,000
Z : T = 3 : 5 = 30,000 : 50,000
- Zoe invested 30,000
- Toria invested 50,000
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b. Zoe's investment amount is 3/8 of the total, or ...
3/8 × 100% = 37.5%
Toria's percentage is the rest of it:
100% -37.5% = 62.5%
Zoe invested 37.5% of the total; Toria invested 62.5% of the total.