Answer:
B just did the test
Step-by-step explanation:
Answer:
163 miles
Step-by-step explanation:
set up a ratio based on 49 miles in 1 hour (60 minutes):
let 'd' = distance in 3hrs, 20 min
3hrs, 20 min = 200 minutes
49/60 = d/200
cross-multiply:
60d = 9800
d = 163.3
Using proportions, it is found that Mason ran 620 meters.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Considering the ratio, the <em>rule of three</em> is given as follows:
2 laps for Mason - 3 laps for Laney.
n meters for Mason - 930 meters for Mason.
Applying cross multiplication:
3n = 930 x 2
n = 930 x 2/3
n = 620
Mason ran 620 meters.
More can be learned about proportions at brainly.com/question/24372153
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A number is rational if it can be written in form a/b where a and b are integers and b is not equal to 0
integers are like -4,-3,-2,-1,0,1,2,3,4, etc
so
√20=2√5 which is irrational because we can't write it as a fraciton with only integers
also a rational number multilied by an irratinonal number=irrtaional
we know that the square root of any prime number will be irrational and 5 is prime so 2 times √5=rational times irrational=irrational
√20 is irrational
A short-cut to accurately evaluate the given expression above is using a scientific calculator where one can include integrals and evaluate using limits. In this case, using a calculator, the answer is equal to 0.2679. One can verify this by integrating truly letting 1-x^2 as u and use its du to be substituted in the numerator