Answer:
4) 120π cm^2
5) 56π cm^2
6) 32π cm^2
Step-by-step explanation:
Surface Area of Cylinder = 2π
+ (2πr)(height)
(will use variable h for height)
4)
diameter = 8 cm
r = 0.5(diameter) = 0.5(8) = 4 cm
height = 11 cm
2π
+ (2π)(4)(11)
= 2π(16) + 2π(44)
= 32π + 88π
= 120π cm^2
5)
diameter = 8 cm
r = 0.5(diameter) = 0.5(8) = 4 cm
height = 6 cm
2π
+ (2π)(4)(6)
= 2π(16) + 2π(12)
= 32π + 24π
= 56π cm^2
6)
diameter = 6 cm
r = 0.5(diameter) = 0.5(6) = 3 cm
height = 7 cm
2π
+ (2π)(3)(7)
= 2π(9) + 2π(7)
= 18π + 14π
= 32π cm^2
C. 8$/m. The rate is the same as the slope. To find the slope, we find "rise over run," or the change in the height/change in length (OR, change y/ change x)
The change in y is 24-8=16
The change in x is 3-1=2
16/2= 8$/1 m. This is the unit rate because it describes the change in y over ONE UNIT of x.
Answer:
D. Y= -5/3x
Step-by-step explanation:
The starting point of the equation is (0,0), therefore no value is being added to it, to find the slope you just have to do rise over run, since the line is going down from left to right, the slope has to be negative. Hope this helped
Answer:
x=1, y=-5
Step-by-step explanation:
Given equations are:

In order to solve the equation
Multiplying Eqn 1 by 5 and eqn 2 by 3 and subtracting them
So,
Eqn 1 becomes
15x+50y=-235
Eqn 2 becomes
15x-21y=120
Subtracting 2 from a
15x+50y - (15x-21y) = -235-120
15x+50y-15x + 21y = -355
71y = -355
y = -355/71
y =-5
Putting y= -5 in eqn 1
3x+10(-5) = -47
3x -50 = -47
3x = -47+50
3x = 3
x = 3/3
x = 1
Hence the solution is:
x=1, y=-5