Answer:

Step-by-step explanation:
we know that
The tangency point on the x-axis is (r,0)
The tangency point on the y-axis is (0,r)
Find the slope of the line containing the points of tangency

Remember that the equation of the line into slope intercept form is equal to

where
m is the slope
b is the y-coordinate of the y-intercept
In this problem we have


substitute

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No, because an equilateral triangle is also equiangular so all sides must be 60° (60+60+60=180) and an obtuse angle is more than 90° so the triangle would not be equilateral.
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Answer:
Yes
Step-by-step explanation:
There hasn't been a chemical change, rather, just a physical change. All that had happened was a liquid turning into a solid, which doesn't require a change in elements of the liquid itself.
Answer:
542
Step-by-step explanation:
We are required to find the sample size at 98% confidence interval in this question
E = 0.04
P* = 20% = 0.20
n = p* x (1-p)(Zα/2÷E)²
α = 1 - 0.98
= 0.02
To get Critical value
= 0.02/2 = 0.01
The critical value at 0.01 is 2.33
Inserting values into formula:
O.2 x 0.8(2.33/0.04)²
= 0.8 x 0.2 x 58.25²
= 542.89
The value of n must be an integer therefore the answer is 542.