Answer:
Area: 78.5in²
Circumference: 31.4in
Step-by-step explanation:
A=πr²
C=2πr
X+y+z=11, x-y+z=5, x-z=y+1 and solve it by any of the methods: isolation, elimination or determinants. isolation (or back substitution, would be for instance: z = 11-x-y, z=5-x+y, z = x-y-1 and then impose z=z:
11-x-y=5-x+y,
11-x-y=x-y-1,
The first takes you to: 6=2y or y=3, then the second to 12=2x or x=6, so that:
x=6, y=3, z=2.
You can see that it checks out
<h3>Answer: Silo D</h3>
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How I got that answer:
r = radius
h = height
LA = lateral surface area of cylinder
LA = 2*pi*r*h
Let's find the lateral surface area of each silo. The smallest lateral surface area will lead to the lowest total cost.
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Silo A
LA = 2*pi*r*h
LA = 2*pi*6*60
LA = 720pi
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Silo B
LA = 2*pi*r*h
LA = 2*pi*8*50
LA = 800pi
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Silo C
LA = 2*pi*r*h
LA = 2*pi*10*34
LA = 680pi
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Silo D
LA = 2*pi*r*h
LA = 2*pi*12*20
LA = 480pi
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If we ignore the "pi" terms for each of the four answers above, we see that 480 is the smallest value. Silo D has the smallest lateral surface area at 480pi square feet.
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Side note: to determine the total cost, you multiply the surface area by the cost per square foot ($1.20)
For example, the total cost to paint silo D is
cost = (surface area)*(price per square foot)
cost = (480*pi)*(1.20)
cost = 1809.557
cost = 1809.56
This section is optional as your teacher isnt requiring you to find the actual costs, but rather just the silo with the least amount of area. You could go the longer route to find each surface area, compute the total cost, and then compare the total costs. You should find that silo D's cost is the lowest.
Answer:
x=65
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
5/4*x-(3/2)=0
Simplify —
2
Equation at the end of step
1
:
5 3
(— • x) - — = 0
4 2
STEP
2
:
5
Simplify —
4
Equation at the end of step
2
:
5 3
(— • x) - — = 0
4 2
STEP
3
:
Calculating the Least Common Multiple :
3.1 Find the Least Common Multiple
The left denominator is : 4
The right denominator is : 2
Wouldn’t be 0 because that’s where the line cross the middle line
