Answer:
The pitcher plant's approximate volume is 24.492 
.
Step-by-step explanation:
We are given that a pitcher is shaped like a cylinder with a radius of 1 centimeter and a height of 7.8 cm.
Let the radius of a cylinder = r = 1 cm
and the height of a cylinder = h = 7.8 cm
As we know that the volume of a cylinder is given by;
The volume of a cylinder = 
= 
{taking approximate value of 
to be 3.14}
= 
= 24.492
Hence, this pitcher plant's approximate volume is 24.492 .
We can see that there are 5 CDs, each of radius 9 cm
<u>Area occupied by 1 disc:</u>
Area of a circle = πr²
Area of disc = π(9)²
Area of disc = 3.14 * 81 = 254 cm²
<u>Area occupied by 5 discs:</u>
Area occupied by 5 discs = Area occupied by 1 disc * 5
Area occupied by 5 discs = 254 * 5
Area occupied by 5 discs = 1270 cm²
Answer:
0.8660254 or √3/2
Step-by-step explanation:
Radius equals: 4.51
hope this helps! ♥
Answer: The solution is the ordered pair (1/2, -3/4) so x = 1/2 and y = -3/4 pair up together. The two lines, when graphed, cross at this location.
note: 1/2 = 0.5 and -3/4 = -0.75; so the intersection point can be written as (0.5, -0.75)
===================================================
Explanation:
The second equation has y isolated. We can replace the y in the first equation with the expression 1/2x - 1
3x + 2y = 0
3x + 2( y ) = 0
3x + 2( 1/2x - 1) = 0 ... y is replaced with 1/2x-1
3x + 2(1/2x) + 2(-1) = 0 .... distribute
3x + x - 2 = 0 .... note how 2 times 1/2 is 1
4x - 2 = 0
4x = 2
x = 2/4
x = 1/2
Use this x value to find the y value it pairs with
y = (1/2)*x - 1
y = (1/2)*(1/2) - 1 ... replace x with 1/2
y = 1/4 - 1
y = 1/4 - 4/4
y = (1-4)/4
y = -3/4
