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dem82 [27]
3 years ago
9

Sean used candle molds, as shown, to make candles that were perfect cylinders and spheres:

Mathematics
1 answer:
BaLLatris [955]3 years ago
4 0
We calculate for the volumes of each of the wax needed for the candles through the equations presented below.

For cylinder:
                             V = πr²h
where V is volume, r is radius and h is height.

Substituting the known values,
 
                           V = (3.14)(3 in)²(6 in)
                            V = 169.56 in³

For sphere:

                         V = 4πr³/3
Substituting the known values,
                        V = 4(3.14)(3 in)³ / 3 = 113.04 in³

The difference between the two volumes,

                         difference of volumes = 169.56 in³ - 113.04 in³
                         <em>difference of volumes = 56.52 in³</em>

Thus, the answer to this item is the last choice. 
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Step-by-step explanation:

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4+6=10

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8 0
3 years ago
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5 0
2 years ago
Every autumn, the North American Monarch
Stolb23 [73]

Part A

The equation is d = 50t

This is because the slope of 50 represents how many miles per day the butterflies cover (on average). The y intercept is 0 to indicate that 0 miles have been traveled initially.

You can think of this as the equation y = 50x

If t = 1, then d = 50t = 50*1 = 50 miles have been covered

If t = 2, then d = 50t = 50*2 = 100 miles have been covered

And so on.

==========================================================

Part B

You'll have these values in the bottom row (in the order presented): 50, 100, 150, 200, 250

You can plug in the values t = 1, t = 2, t = 3, t = 4 and t = 5 into d = 50t to find those answers in bold.

Or you could add on 50 each time to generate each new value. We start at 50 since t = 1 corresponds to d = 50.

==========================================================

Part C

You can keep the pattern of 50,100,150, ... going until you reach 2500. Then note the t value that pairs with d = 2500

In my opinion, that's the slower method.

The quicker method is to plug d = 2500 into the equation for part A, and then solve for t.

d = 50t

2500 = 50t

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50t/50 = 2500/50 ....... divide both sides by 50

t = 50

It will take 50 days for the average distance traveled to be 2500 miles.

6 0
3 years ago
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