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serious [3.7K]
3 years ago
7

A billiards table is twice as long as it is wide . If the perimeter of a billiards table is 24 feet , what is the length and wid

th of the table ?
Mathematics
1 answer:
Delicious77 [7]3 years ago
5 0

Answer:

Length=8     Width=4

Step-by-step explanation:

Step 1- make an equation. The equation for perimeter is usually 2l+2w=P, but since the length is twice as long, we'll 2l x 2 =4l. So our equation is

4l + 2w = 24. note that 8+16 = 24

Step 2- Since 16 is 8 x 2, we know that the length is 16 and width is 8. We divide both those numbers because there is 2 lengths and 2 widths.

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Mac is 5 feet tall and casts a 4 foot 6 inch shadow. At the same time, a nearby tree casts a 20
Sergio [31]

I will convert feet to inches.

4 feet, 6 inches = 54 inches

20 feet = 240 inches

5/x = 54/240

Let x = closest height of tree

54x = 5(240)

54x = 1,200

x = 1200/54

x = 22.2222222222

The tree is about 22 feet tall.

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3 years ago
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In the diagram below, R is located at (24,0), N is located at (12,18), T is located at (12,6), and E is located at (18,15). Assu
julsineya [31]

The midpoint of a segment divides the segment into equal halves

  • The coordinates of K are: \mathbf{K = (12,12)}
  • The coordinates of I are: \mathbf{I = (24,24)}
  • The coordinates of B are: \mathbf{B = ( 30,33 )}

The given parameters are:

\mathbf{R =(24,0)}

\mathbf{N =(12,18)}

\mathbf{T =(12,6)}

\mathbf{E =(18,15)}

K is the midpoint of N and T.

So, we have:

\mathbf{K = (\frac{N_x + T_x}{2},\frac{N_y + T_y}{2})}

This gives

\mathbf{K = (\frac{12 + 12}{2},\frac{18+ 6}{2})}

\mathbf{K = (12,12)}

E is the midpoint of T and I.

So, we have:

\mathbf{E = (\frac{I_x + T_x}{2},\frac{I_y + T_y}{2})}

This gives

\mathbf{(18,15) = (\frac{I_x + 12}{2},\frac{I_y+ 6}{2})}

Multiply through by 2

\mathbf{(36,30) = (I_x + 12,I_y+ 6)}

By comparison

\mathbf{I_x + 12 = 36.\ I_y + 6 =30}

So, we have:

\mathbf{I_x= 24.\ I_y  =24}

Hence, the coordinates of I are:

\mathbf{I = (24,24)}

I is the midpoint of E and B.

So, we have:

\mathbf{I = (\frac{E_x + B_x}{2},\frac{E_y + B_y}{2})}

This gives

\mathbf{(24,24) = (\frac{18 + B_x}{2},\frac{15 + B_y}{2})}

Multiply through by 2

\mathbf{(48,48) = (18 + B_x,15 + B_y)}

By comparison

\mathbf{18 + B_x = 48,\ 15 + B_y = 48 }

So, we have:

\mathbf{B_x = 30,\  B_y = 33 }

Hence, the coordinates of B are:

\mathbf{B = ( 30,33 )}

Read more about midpoints at:

brainly.com/question/18068617

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Step-by-step explanation:

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Answer: we can’t see graphs but I can help you if you show me them

Step-by-step explanation:

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