Answer:
The volume of the pentagonal prism is 1446.25
Step-by-step explanation:
First of all we need to calculate the area of the pentagon
A = area
a = apothem = 8.9
p = perimeter = 13 * 5 = 65
A = (a*p) / 2
A = (8.9 * 65) / 2
A = 578.5 / 2
A = 289.25
To calculate the volume of a pentagonal prism we have to use the following formula:
a = area = 289.25
v = volume
h = height = 5
v = a * h
we replace the values that we know
v =
289.25 * 5
v = 1446.25
The volume of the pentagonal prism is 1446.25
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Answer:
3 8/33
Step-by-step explanation:
Answer:
x= 7
x=6
Step-by-step explanation:
5+2x=19
Subtract 5 from both sides
so...
2x=14
then divide by two to isolate the x
so..
x=7
4x+3=27
Subtract 3 from both sides
so...
4x=24
then divide by 4 to isolate the x
so....
x=6
Parallel means they have the same slope
find the slope
14x - 7y = 8
subtract 14x from both sides
-7y = -14x + 8
divide both sides by -7
y = 2x -8/7
y = mx + b
m is slope
b is y-intercept
We found that the slope is 2
y = 2x + b
to find the y-intercept, plug in the given point
5 = 2(-2) + b
5 = -4 + b
add 4 to both sides
9 = b
The equation
y = 2x + 9
Rewrite to standard form
subtract 9 from both sides
y - 9 = 2x
subtract y from both sides
and rotate the equation
2x - y = -9
Hope this helps
