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Ghella [55]
3 years ago
5

A bottling company makes decorative bottles and ships them to their customers. Each bottle has a height of 13 inches and a radiu

s of 2.5 inches.
The manufacturer places each bottle in cylinder packaging and adds cushioning to the insides of the cylinder. The cushioning is an inch thick on each side of the bottle. If the height of the cylinder is the same as the height of the bottle, what is the volume of the cylinder used to package the bottles? (Round to the nearest whole number. Use π=3.14.)
A
102in3

B
255in3

C
500in3

D
2000in3
Mathematics
1 answer:
patriot [66]3 years ago
3 0

Answer:

C

Step-by-step explanation:

Volume = πr²h

r = 2.5 inches plus 1inch cushon thickness = 3.5 inch radius.

V = 3.142*3.5²*13

V = 500.56in³

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Write the ratio as a fraction in simplest form.
OLEGan [10]

Answer:

Hello there! In normal form it would be 213/412 but in simplest form there is no fraction.

Step-by-step explanation:

There is no simplest form for this fraction

Hope this helps! :)

7 0
2 years ago
Can someone explain (with steps) how to rationalize the following expression?
insens350 [35]
F(x)=(-2/((x+y-2)^(1/2))-(x+y+2)^(1/2)
the only irrational part of this expression is the (x+y-2)^(1/2) in the denominator, so, to rationalize this, you multiply the numerator and denominator by the denominator, as well as the other parts of the expression
also, you must multiply the -sqrt(x+y+2) by sqrt(x+y-2)/sqrt(x+y-2) to form a common denominator
(-2)/(x+y-2)^(1/2)-(x+y+2)^(1/2)(x+y-2)^(1/2)/(x+y-2)^(1/2)
(common denominator)
(-2-(x^2+xy+2x+xy+y^2+2y-2x-2y-4))/(x+y-2)^(1/2)
(FOIL)
(-2-x^2-y^2-2xy+4)/(x+y-2)^(1/2)
(Distribute negative)
(-x^2-y^2-2xy+2)/(x+y-2)^(1/2)
(Simplify numerator)
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6 0
3 years ago
What is the area of this figure?
Elanso [62]
First of all we can draw a parallel line to divide the figure into a triangle and a rectangle as shown in the figure. To find the area of our rectangle, remember that the area of a rectangle is length times width, so A_{r} =lw. Since we know for our figure that the length and width of our rectangle are 13cm and 6cm respectively, lets replace those values in our formula to get its area:
A _{r} =(13cm)(6cm)
A=78cm^{2}
Similarly, the area of a triangle is one half times base times height, so At=( \frac{1}{2})bh. Since we know that our base is 8cm and our height 6cm, lets replace those values in our equation to find the area of our triangle:
A_{t} =( \frac{1}{2})(8cm)(6cm)
A_{t} =24cm^{2}

Now the only thing left is add our areas:
 A_{total} =78cm^{2}+24cm^{2}  =102cm^{2}

We can conclude that the correct answer is <span>A. 102</span>

4 0
3 years ago
I need help with this please
Roman55 [17]

Answer:

the answer is 80 degrees. angle between 2 parrael line is same

6 0
2 years ago
Read 2 more answers
Pls help me find the answer
gregori [183]
The surface area is 1536
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3 years ago
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