Answer:
The area of the base is 14.5π in²
Step-by-step explanation:
The volume of a cylinder is given by
Volume =base\:area \times height
Or
V=Bh
It was given that the volume of the cylinder is 174π in³.
The height was given as 12 inches.
We substitute to get,
174π=12B
Divide both sides by 12 to get:
B=14.5π in²
Hence the area of the base is 14.5π in²
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Answer:
6
Step-by-step explanation:
= 5.84803548
It rounds to 6
Answer:
Since there are six possible outcomes, the probability of obtaining any side of the die is 1/6. The probability of rolling a 1 is 1/6, the probability of rolling a 2 is 1/6, and so on.
Answer:
y = 1/2x + 1
In order to evaluate a slope that is perpendicular to the given equation, you need to find the opposite reciprocal of the original slope. This means you take the original slope, flip the numerator and the denominator, and change the sign in front.
-2 ⇒ 1/2
Next, we need to substitute the information given into the point-slope formula.
The point-slope formula is:
y - y₁ = m(x - x₁)
y - 1 = 1/2(x - 0)
y - 1 = 1/2x
y = 1/2x + 1
Therefore, the line perpendicular to y = -2x + 2 is y = 1/2x + 1.
Answer:
x=number of hours
c(x)= 25x+75
y-intercept= (0, 75)
Equation= y=25x+75
Slope= 25
Step-by-step explanation:
75 would be the y intercept(constant) because that's the initial charge for a call.
25 would be the coefficient for x because the hour you spend on the call varies.
The slope is how steep the line is, in this case it is 25.
x is the number of hours because that is the time that varies.