Answer:

Step-by-step explanation:
Given:

To solve:
The given equation.
Solution:
First of all, let us consider an important property of sine and cosine.

OR

We can apply above property to solve for
as per given equation.

Changing
to sine form:



So, solution to the equation
is:

Answer:
D. 2/7
Step-by-step explanation:
The probability is calculate as a division between the number of ways in which Andrew will be selected and karen will not and the total ways in which they can select 4 people from a group of 8 volunteers.
The number of ways in which they can select 4 people from a group of 8 volunteers can be calculated using:

Where nCk give as the number of ways in which we can form groups of k elements from a group of n elements.
So, if we replace n by 8 and k by 4, we get:

Then, there are 70 ways to select 4 people from a group of 8 volunteers.
At the same way, the number of ways in which Andrew will be selected and karen will not can be calculate replacing n by 6 and k by 3 in the same equation as:

We replace n by 6 because from the 8 volunteers, Andrew is going to be selected and Karen will not, so, the people that affect the result are just the 6 remaining volunteers. Also, k is equal to 3 because Andrew is already selected and we just need to select 3 more people.
Finally, the probability is:

50 teaspoons would equal 50*0.5 = 25 centimeters
1 cm = 0.001 liter
25*0.001 = 0.025 liters
This problem basically already gives you X, you just have to simplify.
To complete this problem all you have to do is divide 11 by 9.6
11 / 9.6 = 1.15
So X = 1.15