The movie should be 2 hours and 15 minutes long.
Answer: 49 students
Step-by-step explanation:
2 /7 of students in a school wore shorts today. The number of students to be selected in order to get 14 students who will wear shorts to school will be:
Let the number of students that will be sampled be y. This will be:
2/7 of y = 14
2/7 × y = 14
2y/7 = 14
Cross Multiply
2y = 7 × 14
2y = 98
y = 98/2
y = 49
49 students will be selected randomly.
Answer:
<em>Proof in the explanation</em>
Step-by-step explanation:
<u>Trigonometric Equalities</u>
Those are expressions involving trigonometric functions which must be proven, generally working on only one side of the equality
For this particular equality, we'll use the following equation

The equality we want to prove is
Let's set the following variables:

And modify the first variable:

Now with the second variable

Knowing that

We compute the other two trigonometric functions of X and Y



Computing

Then

Now we replace all in the first equality:



Thus, proven
the numerator is 37; the denominator is 40
37/40=.925
move the decimal two spots to the right and you get 92.5%