First we are going to find the common denominator of both fractions. To do that, we are going to multiply their denominators:
Now we can rewrite our expression using the common denominator:
Finally, we can use the trig identities:
and
to simplify our trig expression:
We can conclude that the correct answer is the fourth one.
The anwser is 5.05 cm hahahahahahahahahahahahah
Yes. That's correct. Is that what you're asking...? To clarify, prime numbers have a single factor (one and itself) , composite numbers have multiple factors.
Answer:
- B. The probability that the student received a grade better than C is 0.45
Step-by-step explanation:
<u>Total number of students:</u>
- 15 + 30 + 35 + 16 + 4 = 100
<h3>Statements</h3>
A.
- p(<D) = 4/100 = 0.04
- 0.04 ≠ 0.2
- Incorrect
B.
- p(>C) = (30 + 15)/100 = 45/100 = 0.45
- 0.45 = 0.45
- Correct
C.
- p(not A or B) = (100 - 15 - 30)/100 = 55/100 = 0.55
- 0.55 ≠ 0.45
- Incorrect
D.
- p(B or C) = (30 + 35)/100 = 65/100 = 0.65
- 0.65 ≠ 0.35
- Incorrect
You can find the value of the hypotenuse if you apply the Pythagorean Theorem, which is show below:
h²=a²+ b² ⇒ h=√(a² + b²)
h: hypotenuse (the opposite side of the right angle and the longest side of the triangle).
a and b: legs (the sides that form the right angle).
Then, you have:
h²=a² + b²
h²=12²+12²
h=√ ((12)² + (12)²)
h=12√2
What is the lenght of the hypotenuse?
The answer is: The length of the hypotenuse is 12√2
