They're just after some straightforward algebra starting from the Law of Cosine. We don't have to evaluate any trig functions or anything like that.
We move the c² and the cosine term to their other sides,
That's it for the algebra.
a,b and c are the side lengths opposite A,B and C respectively. So a=4, b=5, c=2.
We substitute:
Answer: A. 37
Answer:
60%
Step-by-step explanation:
Answer:
"The rate of Hose A is 1 gallon per minute more than the rate of Hose B"
Step-by-step explanation:
Hose A:
60 gallons every 15 minutes means
60/15 = 4 gallons per minute
Hose B:
y = 3x
y is gallons
x is minutes
we put x = 1 and get:
y = 3*1 = 3
That means 3 gallons per minute
Thus,
the correct choice is C), or third option. 4 is 1 greater than 3 so Hose A is 1 gallons per minute more than the rate of Hose B.
The probability that all three randomly selected envelopes are yellow without replacement is 1/84.
<h3>What is a combination?</h3>
It is an arrangement of a set of numbers from a total set where the order of the set is not relevant.
We have,
2 red envelopes
2 blue envelopes
2 green envelopes
3 yellow envelopes.
Total number of envelopes = 9
The probability that all three randomly selected envelopes are yellow without replacement.
=
= (3/9) x (2/8) x (1/7)
= (3x2x1)/(9x8x7)
= 1/84
Thus,
The probability that all three randomly selected envelopes are yellow without replacement is 1/84.
Learn more about combination here:
brainly.com/question/14355408
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