MATHEMATICS MIDDLE SCHOOL

A house on the land measures 45 feet by 38 feet,a wooded area covers 118 feet by 60 feet,and the front yard is 78 feet by 40 feet.The remainder of the land is farmed.How many acres of land are farmed?Round to the nearest tenth.Explain your answer.(Hint: 1 acre = 43,560 square feet)

Answers

Answer 1
Answer: The figure is composed of 2 shapes. A rectangle and a right triangle.

Area of the Rectangle = 600 ft * 200 ft = 120,000 ft²
Area of the right triangle = (600 ft * 450 ft)/2 = 270,000 / 2 = 135,000 ft²

Total area = 120,000 ft² + 135,000 ft² = 260,000 ft²

Area of the house = 45 ft * 38 ft = 1,710 ft²
Area of the woods = 118 ft * 60 ft = 7,080 ft²
Area of the front yard = 78 ft * 40 ft = 3,120 ft²

Area of farmed land = 260,000 - 1,710 - 7,080 - 3,120 = 248,090 ft²

248,090 ft² * 1acre/43,560 ft² = 5.695 acres

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49w^2-4=0. Simplied fraction?

Answers

Answer:

{-2/7, 2/7}

Step-by-step explanation:

Here you're being asked to solve the given equation 49w^2-4=0 for w with the hint that the solutions are fractions.

49w^2-4=0 is the product of the sum and difference of two squares:

(7w - 2)(7w + 2) = 0

Setting each factor equal to zero and solving for w, we get:

{-2/7, 2/7} as the solutions.

The value of y varies directly with the value of x, and y = –21 when x = 3.Which equations represent the relationship between y and x?

Choose exactly two answers that are correct.

Answers

directly means when x goes up by 3 then y goes up by 3
it is represented by
y/x=k where k stay the same
so y=-21
x=3

the equation is -21/3=-7
k=-7

so k =-7

therfor
y/x=-7
then manipulate the equation
multiply boht sides by x
y=-7x
subsitute valuse for x and get values for y
 if (x,y)
(1,-7)
(2,-14)
(3,-21)

so posiible equationscould be
-7/1=-7
-14/2=-7
-21/3=-7
and so on

Answer:

X=17

Y=62

"HOPE THIS HELPS YOU!!"

jonah wrote a 5 digit number on a piece of paper, the 4 is in the place that is ten times greater than the place where the 2 is

Answers

Your answer Will Be 245

What expressions are equivalent to 3(n+6)

Answers

3n+3*6 which simplifies to 3n+18

it kitchen sink holds 24 gallons of water a full sink drain at 3 gallons per minute which of the following table best represents the situation

Answers

Umm it has no photo so we can't see the table

What is the length side of a triangle that has vertices at (-5, -1), (-5, 5), and (3, -1)?

Answers

Answer: 6,8 and 10

Step-by-step explanation:

To find the length , all we need to find is the distance between each point ,

the formula for calculating distance between two points is given by :

D = \sqrt{(x_(2)-x_(1)) ^(2)+(y_(2)-y_(1)) ^(2)}

Let the points be :

A ( -5,-1)

B(-5,5)

C(3,-1)

Calculating the length AB , we have

D1 = \sqrt{(x_(2)-x_(1)) ^(2)+(y_(2)-y_(1)) ^(2)}

D1 = \sqrt{(-5+5)^(2)+(5+1)^(2)}

D1 = √(36)

D1= 6

Calculating the length AC , we have

D2 = \sqrt{(x_(2)-x_(1)) ^(2)+(y_(2)-y_(1)) ^(2)}

D2 = \sqrt{(3+5)^(2)+(-1+1)^(2)}

D2 = √(64)

D2 = 8

Calculating the length BC , we have

D3 = \sqrt{(x_(2)-x_(1)) ^(2)+(y_(2)-y_(1)) ^(2)}

D3 = \sqrt{(3+5)^(2)+(-1-5)^(2)}

D3 = √(100)

D3 = 10

Therefore ,the length of the sides of the triangle are 6,8 and 10
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