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algol [13]
2 years ago
14

A bag grass seed covers 3750 square feet and costs $27.50. If a gardener is reseeding a city park that has the shape of a right

triangle with a base of B feet and a height of H feet, write an equation for the cost, of reseeding the park.
Mathematics
2 answers:
solmaris [256]2 years ago
4 0

Answer:

C = (13.75 * B * H)/3750

Step-by-step explanation:

The area of a triangle is represented by the equation A = 1/2 * B * H

Every time another 3750 square feet is covered, $27.50 is spent. So, we can represent the cost using the equation C = A/3750 * 27.50

Plugging in the base and height, C = (1/2 * B * H * 27.50)/3750

C = (13.75 * B * H)/3750

Blizzard [7]2 years ago
3 0
The answer would be (base times height)/3750, and then take that answer and multiply by 27.50

[(BxH)/3759]x27.50
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4 0
3 years ago
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The boundary of the lawn in front of a building is represented by the parabola . The parabola is represented on the coordinate p
Colt1911 [192]
The boundary of the lawn in front of a building is represented by the parabola

y = (x^2) /16 + x - 2

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Note that it is a regular parabola (its symmetry axis is paralell to the y-axis).

1) Focus:

It is a point on the symmetry axis => x = the x-component of the vertex) at a distance equal to the distance between the directrix and the vertex).

In a regular parabola, the y - coordinate of the focus is p units from the y-coordinate of the focus, and p is equal to 1/(4a), where a is the coefficient that appears in this form of the parabola's equation: y = a(x - h)^2 + k (this is called the vertex form)

Then we will rearrange the standard form, (x^2)/16 + x - 2 fo find the vertex form y = a(x-h)^2 + k

What we need is to complete a square. You can follow these steps.

1) Extract common factor 1/16 => (1/16) [ (x^2) + 16x - 32]

2) Add (and subtract) the square of the half value of the coefficent ot the term on x =>

16/2 = 8 => add and subtract 8^2 => (1/16) [ (x^2) + 16 x + 8^2 - 32 - 8^2]

3) The three first terms inside the square brackets are a perfect square trinomial: =>

(1/16) [ (x+8)^2 - 32 - 64] = (1/16) [ (x+8)^2  - 96] =>

(1/16) [(x+8)^2 ] - 96/16 =>

(1/16) (x +8)^2 -  6

Which is now in the form a(x - h)^2 + k,
where:

a = 1/16 , h = - 8, and k = -6

(h,k) is the vertex: h is the x-coordinate of the vertex, and k is the y-coordinate of the vertex.

=> a = 1/16 => p =1/4a = 16/4 = 4
 
y-componente of the focus = -6 + 4 = -2

x-component of the focus = h = - 8

=> focus = (-8, -2)

2) Vertex

We found it above, vertex = (h,k) = (-8,-6)


3) Directrix

It is the line y = p units below the vertex = > y = -6 - 4 = -10

y = -10   

 


4 0
3 years ago
Please help me do this problem.
Aleksandr-060686 [28]

Sorry...

Dmdidndjdkdbxidkjddkdnhd

4,10,44 and 19 :)

6 0
2 years ago
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