Answer:
6.69 cm
Step-by-step explanation:
Given data
Diameter= 12cm
Radius= 6cm
Volume= 757.36cm^3
The expression for the volume of a cylinder is
V= πr^2h
Substitute
757.36= 3.142*6^2*h
757.36=113.112h
h= 757.36/113.112
h= 6.69 cm
<h3>
Answer: 15 years old</h3>
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Explanation:
m = Maggie's age (some positive whole number)
4m = four times her age
4m-7 = seven years younger than 4m = brother's age
Add up her age (m) and her brother's age (4m-7) to get a sum of 68.
m+(4m-7) = 68
5m-7 = 68
5m = 68+7
5m = 75
m = 75/5
m = 15
Maggie is currently 15 years old.
Her brother is currently 4m-7 = 4*15-7 = 60-7 = 53 years old.
Their current year ages add to: 15+53 = 68 which confirms the answer.
Answer:
Step-by-step explanation:
The given function is
and we need to graph it.
In order to graph this function, we'll find below things:
Horizontal asymptote:
Since the degree of both numerator and denominator is same. Hence, the horizontal asymptote is the ratio of leading coefficient of numerator to the leading coefficient of denominator.
Horizontal asymptote is y = 1/1 = 1
Vertical asymptote:
Vertical asymptote occurs where the denominator is zero.

x-intercepts:
For x-intercept, y = 0
y-intercepts:
For y-intercept, x= 0
Using these, we can draw the graph of the rational expression.
<span>4.18879020479 which will convert to 4.2</span>
The first one, the fourth one, and the middle one