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MaRussiya [10]
3 years ago
9

Two garden plots are to have the same area. One is square and one is rectangular. The rectangular plot is 4 meters wide and 16 m

eters long. How large is one side of the square garden plot in meters?
Mathematics
1 answer:
AlexFokin [52]3 years ago
7 0

side = 8 m

the area of the rectangle = length × width = 16 × 4 = 64 m²

the area of the square = s² ( where s is the length of a side ), hence

s² = 64 ( since areas are equal )

take the square root of both sides

s = √64 = 8 m


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Answer:

1/4.5

Step-by-step explanation:

constant of proportionality always has x as 1

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3 years ago
What is the distance between point A and point B? Round to nearest tenth.
Sergeu [11.5K]

Answer:

d \approx 12.6

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
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  • Left to Right

<u>Algebra II</u>

  • Distance Formula: d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Find points from graph.</em>

Point A (-4, 2)

Point B (8, 6)

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>.

  1. Substitute [DF]:                    d = \sqrt{(8+4)^2+(6-2)^2}
  2. Add/Subtract:                       d = \sqrt{(12)^2+(4)^2}
  3. Exponents:                           d = \sqrt{144+16}
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7 0
3 years ago
Kamila has a rectangular lawn that measures 80 by 150 feet. She wants to lay gravel made from colored rock in a border, 6 feet w
alex41 [277]

Answer:

1)Diagram attached

2)8424

3)1404

4)1569

Step-by-step explanation:

1)

Diagram is attached

2)

How many square feet of the gravel will surround the lawn:

Converting yards into feet:

1 yard =3 feet

So 80 yard =80(3) feet

                   =240 feet

and 150 yard =150 (3) feet

                     =450 feet

Area of rectangle is given by :length X width

Area of the outer border = (6+ 240+ 6 ) (6+ 450+6)

                                         = 252 X 462

                                         = 116424

Area of the lawn = 240 X 450

                            = 108000

Area of gravel border = 116424 - 108000

                                    = 8424

Area of gravel border is 8424 ft^2

3)

Total volume when depth is 2 inches:

converting inches to feet:

1 inch=  0.083 feet

2 inches =0.1667 feet

volume = base area X depth

            =8424 X 0.1667

            = 1404

 total volume of gravel needed for the border is 1404 ft^3

4)

Given:

A large bag of colored rock contains 5/8 of a cubic yard and costs $30

total cost of the rocks needed for the border=?

1 cubic yard = $30

converting cubic yard to cubic feet

1 cubic yard=27 cubic feet

cost of 1 cubic yard= cost of 27 cubic feet = $ 30

cost of 1 cubic feet=30/27

cost of  1404 cubic feet= 1404 X 30 / 27

                                     = 1560

the total cost of the rocks needed for the border is $1560!

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