Answer:
Height of the cylinder = 1.60yd
Step-by-step explanation:
Volume of a cylinder =
V = πr^2h
V - volume of cylinder
π - 3.142
r - radius of cylinder
h - height of cylinder
We are provided with
V - 80
r - 4
π - 3.142
h - ?
80 = 3.142 * 4^2 * h
80 = 50.272 * h
To find h, divide both sides by 50.272
80/50.272 = 50.272h/ 50.272
1.599 = h
h = 1.60yd
Answer:

Step-by-step explanation:

Let l, t, b represent the numbers of lions, tigers, bears, respectively.
2l +3t +3b = 156 . . . . . . . 156 meals per day are supplied
l +t = 3b . . . . . . . . . . . . . . there are 3 times as many great cats as bears
l +t +b = 68 . . . . . . . . . . . there are a total of 68 animals
_____
The last 2 equations tell you
.. 4b = 68
.. b = 17
Subtracting 3 times the last equation from the first gives
.. -l = -48
There are 48 lions, 3 tigers, and 17 bears.
Answer:
y = 3/2
, x = 3/2
Step-by-step explanation:
Solve the following system:
{x + y = 3 | (equation 1)
10 x = 15 | (equation 2)
Divide equation 2 by 5:
{y + x = 3 | (equation 1)
0 y+2 x = 3 | (equation 2)
Divide equation 2 by 2:
{y + x = 3 | (equation 1)
0 y+x = 3/2 | (equation 2)
Subtract equation 2 from equation 1:
{y+0 x = 3/2 | (equation 1)
0 y+x = 3/2 | (equation 2)
Collect results:
Answer: {y = 3/2
, x = 3/2