3141.6 cubic meters
Step-by-step explanation:
The volume of a cylinder is given by;
πr²h
π * (²⁰/₂)² * 10
π * 100 * 10
= 3141.6
Answer:
Width of 9cm and length of 17cm.
Step-by-step explanation:
To calculate an area of a rectangle, use the formula A=l*w. We know the length is 8cm longer than the width. So l = 8 + w. So the area is A= (8+w)*w.
We also know the area is 153. Substitute this value for A and solve.

To solve the quadratic, use the quadratic formula:

Here a=1, b=8 and c=-153.

Since w=9 or w=-17, substitute this value for w in l= 8+w to find l.
l = 8+9 = 17
or
l=8+-17 = -9
Since length cannot be positive, it must be l=17 and w=9.
Think: where did that 4 come from? Hint: the cube root of 64 is 4; the cube of 4 is 64.
Answer:
A.(-2, 0)
C. (-1.4)
Step-by-step explanation:
we know that
If a point lie on the line, then the point must satisfy the equation of the line (makes the equation true)
we have

subtract 7 both sides


divide by 2 both sides

Substitute the value of x and the value of y of each point in the linear equation and analyze the result
<u><em>Verify each point</em></u>
case A) we have
(-2, 0)
For x=-2, y=0
substitute

---> is true
so
the point lie on the line
case B) we have
(1, 3)
For x=1, y=3
substitute

---> is not true
so
the point not lie on the line
case C) we have
(-1, 4)
For x=-1, y=4
substitute

---> is true
so
the point lie on the line
case D) we have
(1, -4)
For x=1, y=-4
substitute

---> is not true
so
the point not lie on the line
case E) we have
(0, -1)
For x=0, y=-1
substitute

---> is not true
so
the point not lie on the line