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nekit [7.7K]
4 years ago
12

PLEASE SHOW YOUR WORK! c:

Mathematics
1 answer:
Makovka662 [10]4 years ago
3 0
To find the area of a cylinder, use the formula pi(r)^2 x h
We're solving for r
108=pi(r)^2 x 12
/12                 /12
9=pi(r)^2
/pi    /pi
2.87=r^2
\sqrt{x} 2.87= r
1.69

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(please show your answer. thank you)
kondaur [170]

The correct option is: A. 80 cm³

Explanation

Diameter of the coin, d= 2.0 cm.

So, the radius, r= \frac{d}{2} = \frac{2.0}{2} = 1.0 cm.

As the coin is circular, so..

Area of each circular surface, A= \pi r^2 = \pi (1.0)^2 = \pi cm²

Now for finding the amount of plastic for making each coin, we will find the Volume of each coin first.

As the thickness (h) of the coin is 0.5 cm, so Volume of each coin,

V= A*h \\\\= \pi*0.5 \\\\= 3.14159... * 0.5  \\\\    = 1.5707963... cm^3

As you need to make a batch of 50 coins, so the total volume of 50 coins = (1.5707963...*50 )= 78.53981... = 80 [Rounded up to the nearest multiple of 10 cm³]

So, the amount of plastic you will need for making a batch of 50 coins is 80 cubic centimeter.

8 0
3 years ago
I send this question as an apology to Katie coz I noticed that he or she has been deleting all my content so am sorry if I viola
Yuri [45]

Yeah, Katie sometimes delete mines too. But till date, I haven't posted something which is bad

5 0
3 years ago
HR contains six red chili beans for green jellybeans and four blue jelly beans if we choose a jellybean then another jellybean w
Zigmanuir [339]
Probability first one is blue is 4/6+4+4=4/14
the second one is also blue is 4-1/6+4+4-1=3/13

The probability of getting blue both time is 4/14*3/13=12/182=0.0659=6.59%

Answer:
0.0659 or 6.59%
7 0
4 years ago
Find the equation of the line parallel to x+3y = 4 and passing through the point (2, 5)
dmitriy555 [2]

Answer:

The equation of the parallel line is x + 3y = 17

Step-by-step explanation:

Parallel lines have the same slopes and different y-intercept

The form of the equation y = m x + b, where

  • m is the slope of the line
  • b is the y-intercept

∵ The equation of the given line is x + 3y = 4

→ We must put it in the form above to find its slope

→ Subtract x from both sides to move x to the right side

∵ x - x + 3y = 4 - x

∴ 3y = 4 - x

→ Divide both sides by 3 to make the coefficient of y = 1

∴ \frac{3y}{3}=\frac{4}{3}-\frac{1}{3}x

∴ y = \frac{4}{3} -  \frac{1}{3} x

→ Compare it with the form of the equation above

∴ m = -\frac{1}{3}

∵ Parallel lines have the same slopes

∴ The slope of the parallel line is -\frac{1}{3}

→ Put it in the form of the equation

∴ y =  -\frac{1}{3} x + b

→ To find b substitute x and y in the equation by the coordinates

   of a point on the line

∵ The line passes through the point (2, 5)

∴ x = 2 and y = 5

→ Substitute them in the equation

∴ 5 =  -\frac{1}{3} (2) + b

∴ 5 =  -\frac{2}{3} + b

→ Add  \frac{2}{3}  to both sides

∴ \frac{17}{3} = b

→ Substitute it in the form of the equation above

∴ y = -\frac{1}{3} x + \frac{17}{3}

→ Multiply each term by 3

∴ 3y = - x + 17

→ Add x to both sides

∴ x + 3y = 17

∴ The equation of the parallel line is x + 3y = 17

3 0
4 years ago
Read 2 more answers
Please answer this correctly
katrin [286]
She needs 10 more plates
8 0
3 years ago
Read 2 more answers
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