Answer: 113.04
Step-by-step explanation: The equation for the area of a circle is pi r squared so you have to find the radius first. To find the radius, find the diameter first. A way to do this which was easiest for me was dividing 37.68 by pi (3.14), which is 12. Divide the diameter by 2 to find the radius, 6.
Now use the equation from the beginning, pi r squared. So plug in pi as 3.14, then the radius as 6. It is important to always square the radius first, which would be 36. Now multiply 36 by 3.14, and there should be your answer.
You first have to set up the two equations. Y is equal to the total number of gallons in a tank and x is equal to the number of hours the tanks are filling.
Since the two equations both equal y I can make them equal each other. I then solved for x as you see and got -4.
Once I found my x value I now needed to find my y. You only needed to chose one equation to solve for y, so I decided to do the first one. I plugged in -4 where my x value currently was and solved for y. I got 2.
If you have any questions please comment!! Hope this helps!!
Answer: thier salaries are $5000 and $5500
Step-by-step explanation:
Let the average weekly salary of one employee be =x
And that of the other employee be = x+500
Such that if thier average of their salaries= $5250
So, their total salary= $5250 x 2=10,500
The equation to solve each employee salary becomes
x+x+500=10,500
2x+500=10,500
2x=10,500-500
2x=10,000
x=10,000 /2
x= first employee salary =$5000
second employee = x+500 =$5500
4x-35=9x
-4x
-35=5x
divide by 5
x= -7
Answer:
The area of one slice of pizza is 18 in²
Step-by-step explanation:
First we have to know that the 360 ° representing the circle expressed in radians are expressed as 2π
Now we must calculate the area of the circle
a = π * r²
a = π * (12in)²
a = 144π in²
Now that we have the area of the circumference we multiply it by (π/4) / (2π)
144π in² * (π/4) / (2π) =
144 in² * 1/8 =
18 in²
The area of one slice of pizza is 18 in²
