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Nataly [62]
3 years ago
11

Mr.Gork has square sheet of aluminum that measure 24 in. On each side.What is the area of the largest circular disk that he can

cut from this sheet of aluminum
Mathematics
1 answer:
kolbaska11 [484]3 years ago
4 0

Answer:

The area of the largest circular disk that he can cut from this sheet of aluminum is <u>452.16 in²</u>.

Step-by-step explanation:

Given:

Mr.Gork has square sheet of aluminum that measure 24 in on each side.

Now, to find the area of the largest circular disk that he can cut from this sheet of aluminum.

<u><em>As, the side of the square sheet of aluminum is given 24 in.</em></u>

<u><em>So, the  diameter of the largest circular disk that he can cut from this sheet of aluminum is 24 in.</em></u>

Now, we get the radius of the circular disk:

Radius (r) = Diameter ÷ 2

Radius (r) = 24\div2 = 12\ in.

And, now to get the area of the circular disk we put formula:

Area=\pi r^2

( Taking, π = 3.14 )

Area=3.14\times (12)^2\\\\Area=3.14\times 144\\\\Area=452.16\ in^2.

Therefore, the area of the largest circular disk that he can cut from this sheet of aluminum is 452.16 in².

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Is 2,750 a reasonable answer for 917 x 33? Explain.
vovangra [49]

No, 2750 is a sadly unreasonable estimate. 917 is almost 1,000 . 33 times as much is around 30,000 . 2,750 is less than 3,000 .

Step-by-step explanation:

so it will be 3,0261

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3 years ago
( – 1, – 5) 7x+2y=13, 4x+4y=14
serious [3.7K]

Answer:

{x,y} = {6/5,23/10}

Step-by-step explanation:

 [1]    7x + 2y = 13

  [2]    4x + 4y = 14  <---------- linear equations given

Graphic Representation of the Equations : PICTURE
2y + 7x = 13        4y + 4x = 14  

Solve by Substitution :

// Solve equation [2] for the variable  y

[2]    4y = -4x + 14

[2]    y = -x + 7/2

// Plug this in for variable  y  in equation [1]

  [1]    7x + 2•(-x +7/2) = 13

  [1]    5x = 6

// Solve equation [1] for the variable  x

  [1]    5x = 6

  [1]    x = 6/5

// By now we know this much :

   x = 6/5

   y = -x+7/2

// Use the  x  value to solve for  y

   y = -(6/5)+7/2 = 23/10

// Plug this in for variable  y  in equation [1]

 [1]    7x + 2•(-x +7/2) = 13

  [1]    5x = 6

// Solve equation [1] for the variable  x

 [1]    5x = 6

[1]    x = 6/5

// By now we know this much :

   x = 6/5

   y = -x+7/2

// Use the  x  value to solve for  y

  y = -(6/5)+7/2 = 23/10

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Answer:106

Step-by-step explanation:

Let number of white marbles be w

Let number of red marbles be r

w+r = 126---------1

w = 6 +5r-----------2

Put eqn 2 in eqn 1

6+ 5r + r = 126

6 + 6r = 126

6r = 120

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w = 6 +5r =6+100

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If the traslation is T(x,y)=(x-1,y+1) then:

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Therefore A'=( -7,3).

6 0
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