Answer:
are the values of a or b given?
Step-by-step explanation:
Answer:
(D) 30pi inches
Step-by-step explanation:
First, we use the given volume, the given height, and the formula of the volume of a cylinder to find the radius of the base. Then we use the radius of the base to find the circumference of the base.
We set the formula equal to the volume and replace h with 30 in.
Divide both sides by 30pi in.
Take the square root of each side.
The radius of the base is 15 in.
Now we use the radius of the base and the formula of the circumference of a circle to find the answer.
The solution of the equation is x = -4/3.
<h3>What does it mean to solve an equation?</h3>
An equation represents equality of two or more mathematical expression.
Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
WE have been given an equation as;
|x - 4| = 5x + 12
In an absolute value equation, we solve the original expression as our first equation. Our second one is that we multiply the right side by -1.
Case 1: original equation
|x - 4| = 5x + 12
x - 4 = 5x + 12
x - 5x = 12 + 4
-4x = 16
x = -4
Case 2: Opposite equation
|x - 4| = 5x + 12
x - 4 = - (5x + 12)
x - 4 = - 5x - 12
x + 5x = -12 + 4
6x = -8
x = -4/3
Now we have two solutions. We need to check for extraneous solutions because of all the manipulations;
Check:
|x - 4| = 5x + 12
use x = -4
|-4 - 4| = 5(-4) + 12
| -8 | = -20 + 12
8 = -8
Thus, it is Not a solution
Now, |x - 4| = 5x + 12
use x = -4/3
| -4/3 - 4| = 5( -4/3) + 12
|-16/3 | = -20/3 + 12
|-16/3 | = 16/3
16/3 = 16/3
Thus, it is the Solution.
Learn more about solving equations here:
brainly.com/question/18015090
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Answer:
A. $3.59
Step-by-step explanation:
Okay so wrapping paper 4.99 she got three. So we would take 4.99 and subtract 80%. We would get 0.998. We multiply this by three because that's how many she got. After multiplying it's 2.994, rounded just 2.99. She payed 2.99 for wrapping paper. Now with the candy canes, we take 2.99 and subtract 80%. 0.59. Added we get 3.58, and we can go ahead and round that up to $3.59. Before tax she payed $3.59.
Distance traveled in 35 minute = 2 miles.
So distance traveled in one minute = 2/35 (miles/minute)
= 0.0572 miles / minute.
So distance traveled in one hour , we can find by multiplying it from 60.Because in one hour there is 60 minute.
SO distance traveled in one hour = 0.0572 * 60
= 3.432 miles / hour.
