Step-by-step explanation:
15. If A and B are complementary angles, then sin A = cos B and cos A = sin B.
So if sin A = m, then cos B = m.
16. If sin A = cos B, or cos A = sin B, and A and B are acute, then A and B are complementary.
a. cos 60° = sin θ
60° + θ = 90°
θ = 30°
b. sin 71° = cos θ
71° + θ = 90°
θ = 19°
c. sin θ = cos (θ + 20°)
θ + θ + 20° = 90°
2θ = 70°
θ = 35°
d. sin (θ − 60°) = cos θ
θ + θ − 60° = 90°
2θ = 150°
θ = 75°
Answer:
D) 8.1 m
Step-by-step explanation:
Area of a circle is pi r^2
Answer:
There is enough evidence to support the claim that the percentage of residents attending college in that age-group is greater than 23.8%
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 610
p = 23.8% = 0.238
Alpha, α = 0.01
Number of 18-24 year-old attending college , x = 178
First, we design the null and the alternate hypothesis
This is a one-tailed(right) test.
Formula:
Putting the values, we get,
Now, we calculate the p-value from the table.
P-value = 0.0009
Since the p-value is lower than the significance level, we fail to accept the null hypothesis and reject the null hypothesis.
Conclusion:
Thus there is enough evidence to support the claim that the percentage of residents attending college in that age-group is greater than 23.8%
Answer:
c
Step-by-step explanation:
Answer:
A ray is a part of a line that has one endpoint and goes on infinitely in only one direction.