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Nuetrik [128]
3 years ago
14

Jim’s backyard is rectangular with dimensions of 75 feet by 120 feet. He is planning to designate part of the yard to plant a ve

getable garden. The garden will be a similar rectangle, using a scale factor of 2/5. How much fencing will he need if he wants to enclose the garden on all four sides?
Mathematics
2 answers:
velikii [3]3 years ago
7 0

Answer:

he will need 99 feet to fence

Step-by-step explanation:

Jim's back yard has the following dimensions;

Length=120 feet

Width=75 feet

The gardens dimensions can be calculated using the expression;

Length of garden=Length of back yard/scale factor

where;

Length of back yard=120 feet

Scale factor=2/5

replacing;

Length of garden=120/2/5

Length of garden=12 feet

Width of garden=Width of back yard/scale factor

where;

Width of back yard=75 feet

Scale factor=2/5

replacing;

Width of garden=75/2/5

Width of garden=37.5 feet

The gardens dimension are;

Garden width=37.5 feet

Garden length=12 feet

To get the length of the fence that will enclose all four sides, we calculate the perimeter of the garden;

Perimeter=2(length+width)

Perimeter=2(12+37.5)=99 feet

He will need 99 feet of fence

vlabodo [156]3 years ago
4 0

Answer:

He will need 99  feet of fence.

Step-by-step explanation:

Jim's back yard has the following dimensions;

Length=120 feet

Width=75 feet

The gardens dimensions can be calculated using the expression;

Length of garden=Length of back yard/scale factor

where;

Length of back yard=120 feet

Scale factor=2/5

replacing;

Length of garden=120/2/5

Length of garden=12 feet

Width of garden=Width of back yard/scale factor

where;

Width of back yard=75 feet

Scale factor=2/5

replacing;

Width of garden=75/2/5

Width of garden=37.5 feet

The gardens dimension are;

Garden width=37.5 feet

Garden length=12 feet

To get the length of the fence that will enclose all four sides, we calculate the perimeter of the garden;

Perimeter=2(length+width)

Perimeter=2(12+37.5)=99 feet

He will need 99 feet of fence

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konstantin123 [22]

Answer: She ordered 4 toppings.

Step-by-step explanation:

Given: Total cost of pizza  = $ 12.90

Cost of pizza =$7.50

Price per topping = $1.35

Let x = Number of toppings,

Total cost of pizza = (Cost of pizza) + (price per topping) × (Number of topping)  

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2 years ago
Es urgente ¡¡¡ si la MH de a y 4 es 6 y la MH de 8 y b es 12 calcula la MH de a y b
TiliK225 [7]

Answer:

Sabemos que:

MH(x, y) = \frac{2xy}{x+y}

y tenemos que:

MH (a,4) = \frac{2*a*4}{a+4} = \frac{8*a}{a+4} = 6

Con esto podemos encontrar el valor de a:

8*a/(a+ 4) = 6

8*a = 6*(a + 4) = 6*a + 24

8a - 6a = 24

2a = 24

a = 24/2 = 12.

Tambien sabemos que:

MH(8,b) = \frac{2*8*b}{8+b} =\frac{16*b}{8+b} = 12

Y de ahí podemos despejar b:

(16*b)/(b + 8) = 12

16*b = 12*(b + 8) = 12b + 96

16b - 12b = 96

4b = 96

b = 96/4 = 24

Entonces tenemos a = 12 y b = 24, y el MH de a y b es:

MH(12,24) = 2*12*24/(12 + 24) = 24*24/36 = 16

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3 years ago
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melamori03 [73]

Answer:

m = 4/3

Step-by-step explanation:

To find the slope of a line use the formula, where "m" means slope:

m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }

*You don't need to show this part on paper*

Choose which point you want to be point 1 and point 2. Remember the points are written (x, y).

Point 1: (-2, 1)       x₁ = -2  y₁ = 1

Point 2: (4, 9)      x₂ = 4   y₂ = 9

Substitute the coordinates into the formula:

*Show this part on paper*

m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }

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m=\frac{4 }{3 }               Slope

The slope of the line is 4/3

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