Answer:
Cos B = 4/5
Step-by-step explanation:
From the question given above, the following data were obtained:
Sine B = 3/5
Cos B =?
Recall:
Sine B = Opposite / Hypothenus
Sine B = 3/5
Therefore,
Opposite = 3
Hypothenus = 5
Next, we shall determine the Adjacent. This can be obtained as follow:
Opposite = 3
Hypothenus = 5
Adjacent =?
Hypo² = Adj² + Opp²
5² = Adj² + 3²
25 = Adj² + 9
Collect like terms
Adj² = 25 – 9
Adj² = 16
Take the square root of both side
Adj = √16
Adjacent = 4
Finally, we shall determine Cos B. This can be obtained as follow:
Hypothenus = 5
Adjacent = 4
Cos B =?
Cos B = Adjacent / Hypothenus
Cos B = 4/5
Answer:
x=13
Step-by-step explanation:
119-2=117
117÷9=13
9×13+2=119
Answer:
C. 2.0 < t < 2.5
Step-by-step explanation:
time = distance / speed
The circumference of the lake is given by ...
C = πd = 2π miles ≈ 6.28 miles
Then Johanna's time is ...
(6.28 mi)/(3 mi/h) ≈ 2.09 h
This time is in the interval (2, 2.5), so matches choice C.
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<em>Alternate solution</em>
If we take pi to be 3, then this boils down to ...
2×3/3 = 2 . . . hours
Pi is on the order of 5% more than 3, so her time will be on the order of 5% more than 2 hours, or just above 2, but not as great as 2.5 hours. This sort of estimating can get you to the correct answer without a calculator.
Step-by-step explanation:
f(x) = + 8
x = 10?
f(10)= +8
no change
