Height of cone in term of volume is 3V / πr²
<u>Given that;</u>
Volume of cone = (1/3)(πr²h)
<u>Find:</u>
Height of cone
<u>Computation:</u>
We know that;
Volume of cone = (1/3)(πr²h)
We have to calculate height from above given formula.
V = (1/3)(πr²h)
3V = πr²h
3V / πr² = h
So,
Height of cone = 3V / πr²
<em>Height of cone</em> in term of volume = 3V / πr²
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Answer:
89 km/hr
Step-by-step explanation:
Distance = Rate(speed) × Time
D = R × T
T = 4 hours
One car's rate is 12 kilometers per hour less than the other's.
Hence:
First's car's rate = r × 4 = 4r
Second car's distance = (r + 12) × 4 = 4r + 48
4r + 4r + 48 = 760
8r + 48 = 760
8r = 760 - 48
8r = 712
r = 712/8
r = 89 km/hr
The rate of the slower car is 89 km/hr
I agree with what that person told you. The expression -2(x+10) is equivalent to -2x-20
Multiply the outer -2 with the inner x to get -2 times x = -2x
Multiply the outer -2 with the inner term 10 to get -2 times 10 = -20
So overall, -2(x+10) = -2x-20
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So that's how we're able to go from this

to this

The only thing that changes is the left side. The inequality sign will not flip. It only flips if we multiply both sides by a negative number.
Answer:
20
Step-by-step explanation:
an integer m is divisible by both 10 and 12
Lets write the prime factor for each number
the prime factor for 10 is 5,2
the prime factor for 12 is 3,2,2
Now take the product of the prime factors that are not in common and also in common
60 is divisible by 20
so answer is 20
The initial fee of $50 is essentially the y intercept because this is the value when x = 0 (x is the number of labor-hours). So b = 50.
The slope is m = 30 because each increase of 1 hour leads to the cost bumping up by 30 dollars. In other words, slope = rise/run = (change in cost)/(change in hours) = 30/1
So we plug m = 30 and b = 50 into the y = mx+b formula to get y = 30x+50
Replace y with f(x) to get f(x) = 30x+50
The linear function for the cost is f(x) = 30x+50
Note: Some books may use other letters (instead of x and f(x)), but the idea is still the same
Once you know the cost function, you replace x with 4.5 to find the amount it will cost to have a painter work for 4.5 hours.
f(x) = 30x+50
f(4.5) = 30*4.5+50
f(4.5) = 135+50
f(4.5) = 185
It will cost 185 dollars to have the painter work for 4.5 hours