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AysviL [449]
4 years ago
14

Marcus wanted to build a rectangular fence around his backyard. His backyard is thirty-two feet long and six yards wide. What is

the perimeter of the backyard in feet?
Mathematics
1 answer:
harina [27]4 years ago
6 0

Answer:

The perimeter of the backyard is 100 feet.          

Step-by-step explanation:

We are given the following in the question:

Dimensions of backyard:

Length, l = 32 feet

Width, w = 6 yards

1 yard = 3 foot

Width of backyard =

=6\times 3 = 18\text{ foot}

Perimeter pf backyard =

P = 2(l+w)\\P  =2(32 +18)\\P=100\text{ feet}

Thus, the perimeter of the backyard is 100 feet.

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Write an equation for the line in point-slope form and then convert it to standard form. through (2, 3) and (3,5)​
poizon [28]

Answer:

equation of the line: 2x - y = 1

Step-by-step explanation:

Given coordinates: (2, 3) and (3,5)​

find slope of the equation:

  • \frac{y2-y1}{x2-x1}

using the formula:

→ \frac{5-3}{3-2}

→ 2\\ .............this is slope, also refereed as (m) in short form.

using the equation formula:

  • y - y1 = m ( x - x1 )

using the formula:

→ y - 3 = 2 ( x - 2 )

→ y - 3 = 2x - 4

→ y = 2x -4 +3

→ y = 2x - 1

→ -2x + y = -1

→ (-2x + y)/-1 = -1 /-1             [ divide both sides by -1 ]

→ 2x - y = 1  .......final answer in standard form where ( Ax + By = C ) where "A" should be positive and "C" constant on the right hand side.

6 0
3 years ago
Read 2 more answers
Beth had 1 yard of ribbon she used 1/4 yard for a project she wants to divide the rest into 1/8 yard pieces
Lesechka [4]
She'll have 6/8 yard of ribbon left
3 0
3 years ago
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what is the distance around a triangle that has sides measuring 2 and one eight feet , 3 one half feet, and 2 one half feet?
Ymorist [56]
Perimeter = 2 1/8 + 3 1/2 + 2 1/2 = 8 1/8
4 0
3 years ago
Dan has 50 coins that total $7.30. All of his coins are dimes, D, and quarters, Q. Write a system of equations that models this
Harman [31]

Answer:

d + q = 50

0.10d + 0.25q = 7.30

Step-by-step explanation:

Since all of the 50 coins are dimes and quarters, we can write the equation:

d + q = 50, where d is the number of dimes and q is the number of quarters

Now, we know that dimes are 10 cents, or $0.10 and quarters are 25 cents, or $0.25. So, if we multiply 0.10 by d, we get the total value of the dimes, and if we multiply 0.25 by q, we get the total value of the quarters. The total value of all dimes and quarters is 7.30, so we have the equation:

0.10d + 0.25q = 7.30

Thus, the system is:

d + q = 50

0.10d + 0.25q = 7.30

5 0
4 years ago
Read 2 more answers
What is the square root of 4/16
Elis [28]

Answer:

\frac{1}{2}

Step-by-step explanation:

<u>Step 1:  Find the square root</u>

<u />\sqrt{\frac{4}{16} }

\frac{\sqrt{4} }{\sqrt{16} }

\frac{2}{4}

\frac{1}{2}

Answer:  \frac{1}{2}

3 0
3 years ago
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