Answer: cos(Θ) = (√15) / 4
Explanation:
The question states:
1) sin(Θ) = 1/4
2) 0 < Θ < π / 2
3) find cos(Θ)
This is how you solve it.
1) Use the fundamental identity (in this part I use α instead of Θ, just for facility of wirting the symbols, but they mean the same for the case).

2) From which you can find:

3) Replace sin(α) with 1/4
=>

=>

4) Given that the angle is in the first quadrant, you know that cosine is positive and the final answer is:
cos(Θ) =

.
And that is the answer.
Answer:
3 miles
Step-by-step explanation:
5-1+2=3
- (2x+y+2z) = -(2(x+z) + y)
Answer:
Keisha paid $7.0805
Step-by-step explanation:
First of all, you already know that 1 pound equals $5.95. Secondly, you have to solve 5.95 divided by 10, which is 0.595. However, the question is asking for 0.2 pounds! Therefore, 0.595 * 2 = 1.19.
But we're not done yet! We still have to find the amount of money in all. 5.95 * 1.19 = 7.0805 The sum of money in all is $7.0805
Hope this helps!
Answer:
The answer is letter B, The water level in a bathtub as it drains over time.
Step-by-step explanation:
It is best to learn the meaning of <u>"negative correlation"</u> first.
Correlation- In Mathematics, "correlation" means a measure of the relationship between two variables.
<em>Positive Correlation- </em>when the values of the variables increase together.
<em>Negative Correlation- </em>when one value of a variable increases while the other variable's value decreases.
*The situation above is asking for a negative correlation, therefore the answer is letter B (The water level in a bathtub as it drains over time).
The variables are: <u>water level and draining time</u>
As the draining time increases, the water level in the bathtub decreases. This is clearly an example of a negative correlation.