Given:
Base area = 4π mm²
Height = 10 mm
To find:
The volume of the cylinder.
Solution:
Base of the cylinder is circle.
Area of the base = πr²
πr² = 4π
Volume of the cylinder = πr²h
Substitute 4π in place of πr².
= 4π × 10
= 40π mm³
The volume of the cylinder is 40π mm³.
Answer:
Step-by-step explanation:
You would first have to plug in for x, (which is already given). After plugging in for x, you would need to solve the equation to get y.
Once you have both x and y, you will have your (x,y)
For example: (given x value = -5)
so:
x = -5
y = -14
( -5, -14)
Answer:
<em>Shayla charges $20 per hour for middle school students and $25 per hour for high school students.</em>
Step-by-step explanation:
<u>System of Equations</u>
Let's call:
x = Shayla's hourly charge for middle school students
y = Shayla's hourly charge for high school students
Last week, Shayla tutored middle school students for 5 hours and high school students for 12 hours. The total earning was 5x+12y. She earned $400 last week, thus:
5x + 12y = 400 [1]
This week, she tutored middle school students for 6 hours and high school students for 10 hours. The total earnings were 6x+10y and it represented $370, thus:
6x + 10y = 370
Dividing by 2:
3x + 5y = 185 [2]
We have formed the system of equations:
5x + 12y = 400 [1]
3x + 5y = 185 [2]
Multiply [1] by -3 and [2] by 5:
-15x - 36y = -1200
15x + 25y = 925
Adding both equations:
-11y = -275
Dividing by -11:
y = -275/(-11) = 25
y = 25
Substituting in [1]:
5x + 12*25 = 400
5x + 300 = 400
5x = 400 - 300 = 100
x = 100/5 = 20
x = 20
Shayla charges $20 per hour for middle school students and $25 per hour for high school students.
No its is not because a scalene triangle has 3 different sized sides
