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Andre45 [30]
3 years ago
6

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 fee

t.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)
Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
7 0
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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Answer:

y= -4/3x +8

Step-by-step explanation:

well first you got to simply for equation

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then you divide everything by 3

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3 years ago
80 members decreased by 65%
LekaFEV [45]
Do a proportion
65/100= x/80

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What are the coordinates(real answers only please I can’t click on links)
netineya [11]

Answer:

D (-9,3)

F (-5,-5)

Step-by-step explanation:

8 0
3 years ago
Sole this question ? <br>30÷5+(9×5)-3²=<br>​
yuradex [85]

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3 years ago
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If F(x) = 2 - xand w(x) = x - 2, what is the range of (w•p(x)?
hoa [83]

Answer:

Th Range is [0, -∞)

Step-by-step explanation:

f(x) = 2 - x

w(x) = x - 2

We want to find the range of (f * w)(x).

First, we need to find (f * w)(x), which is the multiplication of the function f(x) and the function w(x). Lets use algebra to find (f * w)(x):

(f*w)(x)=(2-x)(x-2)\\=2x-4-x^2+2x\\=-x^2+4x-4

This is a quadratic function (U shaped), or a parabola. The graph is attached.

The range is the set of y-values for which the function is defined.

We see from the graph that the parabola is upside down and the highest value is y = 0 and lowest goes towards negative infinity. So the range is from 0 to negative infinity. Or,

0 < y < ∞

In interval notation, that would be:

[0, -∞)

4 0
3 years ago
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