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shusha [124]
3 years ago
7

An aluminum can is a right cylinder. Find the amount of paper needed for the can's label and the total

Mathematics
1 answer:
Rina8888 [55]3 years ago
6 0

Answer:

Label: About 527.9 square centimeters

Aluminum: About 835.7 square centimeters

Step-by-step explanation:

Amount of paper needed for the label:

You can imagine taking off the label and unrolling it, forming a rectangle. The height of this rectangle will be the height of the cylinder, while the length of the rectangle will be the circumference of the cylinder. Therefore, the area of that rectangle will be 2\pi r h= 2 \cdot \pi \cdot 7 \cdot 12\approx 527.9.

Amount of aluminum needed for the can:

This time, you need to add in the top and bottom of the can as well, which each have area \pi r^2. Together, they have area 2\pi r^2=2\cdot \pi \cdot 7^2\approx 307.9. Adding this to the area of the sides, you get a total of about 835.7 square centimeters.

Hope this helps!

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The Bobcats football coach logged the following yardage gains and losses over four plays of a game.
lions [1.4K]
Answer:
9.8x - 11.1x
Explanation:
25 - 5.2 = 9.8x
0.9 - 12 = -11,1y

Notice: I’m not sure but if it wrong, you could replaced with 10x - 11y which be better answer
5 0
2 years ago
Harold and his friend Bill each collect vintage action figures. Harold already has 18
Wewaii [24]

Answer:

6 months

Step-by-step explanation:

6 0
2 years ago
the equation y= - 5.131x2+ 31.821x - 3.333 approximates the number of people standing in line to catch a commuter train x hours
ehidna [41]

We are given function: y= - 5.131x^2+ 31.821x - 3.333

Where, x is the number of hours after 5a.m.

We need to approximates the number of people standing in line to catch a commuter train at 7 a.m.

From 5 a.m. to 7 a.m. total number of hours = 7-5 = 2 hours.

So, we need to plug x=2 in the given function.

Plugging x=2 in y=- 5.131x^2+ 31.821x - 3.333, we get

y=- 5.131(2)^2+ 31.821(2) - 3.333

Let us simplify it now.

2^2= 4.

Therefore,

y=- 5.131(4)+ 31.821(2) - 3.333

= -20.524 + 63.642 - 3.333.

= 39.785 or 40 approximately.

Therefore, the number of people in line at 7 a.m. is approximately 40 people.

Option D.40 is correct option.

3 0
3 years ago
The price of a company's share dropped by 3.50% by the end of the first year, down to $44.25. During the second year the price o
omeli [17]

Answer:

a. $45.86

b. $43.87

c. Percentage change = -4.40%)

Step-by-step explanation:

a. Let the price of share at the beginning of first year be represented with X

Now, Price of company's share dropped by 3.50% at the end of first year.

So, Price of share at the end of first year = x - 3.5% of x

= x - 0.035x

= 1x - 0.035x

= 0.965x

But it is equal to $44.25

=> 0.965x = 44.25

x = 44.25 / 0.965  

x = 45.8549223

x = $45.86

b. During second year price of share decreased by $1.99. Therefore, Price of share at the end of second year = $45.86 - $1.99  = $43.87

c. Percentage change in the price of shares over two years = {(45.86 - 43.87)/45.86} *100

= (1.99/45.86)*100

= 0.04339294 * 100

= 4.40%

Now, as price of shares has dropped, the percentage change will be negative. (Δ% = -4.40%)

5 0
2 years ago
Which step in the proof has a flow?
Dmitry [639]

Answer:

Reason 2

Step-by-step explanation:

The reason should be transitive property( if a=b and b=c then a=c) not reflective property.

7 0
2 years ago
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