Use the cosine rule.
c=AB=7
b=AC=8
a=BC=3
a^2=b^2+c^2-2bc(cos(A))
=>
cos(A)=(b^2+c^2-a^2)/(2bc)
=(7^2+8^2-3^2)/(2*7*8)
=13/14
=0.9286
Answer:
3.) (x + 5) (x - 6)
Step-by-step explanation:
Factor the following:
x^2 - x - 30
Hint: | Factor x^2 - x - 30 by finding two numbers whose product is -30 and whose sum is -1.
The factors of -30 that sum to -1 are 5 and -6. So, x^2 - x - 30 = (x + 5) (x - 6):
Answer: (x + 5) (x - 6)
Answer: 11.42
Step-by-step explanation: Pythagorean Theorem
Solution: We are given:

We have to find the amount of water that represents the top 97.5%.
We need to find the z value corresponding to probability to 0.975. Using the standard normal table, we have:

Now using the z score formula, we have:





Therefore, 129.4 ounces amount of water represents the top 97.5%