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nikdorinn [45]
3 years ago
15

A local grocery store has plans to construct a rectangular parking lot that is bordered on one side by a highway. there are 1280

feet of fencing available to close off the other 3 sides. find the dimensions that will maximize the area of the parking lot
Mathematics
1 answer:
tigry1 [53]3 years ago
4 0
The answer is -320 ft. by 1920 ft. To solve this problem you need to correctly label and draw a figure to illustrate the given information. And then find the equations to represent the area and perimeter. The equation of the area is quadratic which is graphed will be a prabola opening downward. In order to maximize the area find the y-coordinate of the parabola's vertex. Used the formula of vertex to find the x-coordinate and then substitutes it back into the area formula.
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This isnt a question im just saying that you all shouldn't vape!!
Ksju [112]

Answer:

ok soooooooooo9oooooooooooooooooooo

3 0
2 years ago
Read 2 more answers
A triangle has sides with lengths of 36 meters, 48 meters, and 60 meters. Is it a right triangle?
Kobotan [32]

That depends on if there is a 90-degree angle within the triangle or not.

7 0
3 years ago
Read 2 more answers
Cara and John collect baseball cards.Cara has 12 times as many baseball cards as John.Together they have 117 cards.How many card
MrRa [10]

Answer:

John has 9 baseball cards.

Step-by-step explanation:

To start off, we want to find the highest product of 12 without going over 117. Lets try out some problems...

What about 12x10? Well that equals 120 and since it goes over 117 that won't work.

What about 12x9? That equals 108. This is below 117. Since we know that Cara has 12 times more baseball cards than John has, we simply add 9 to 108 and it gives us 117 total baseball cards.

This means, John has 9 baseball cards.

7 0
3 years ago
You are remodeling your bedroom. You will paint all 4 walls and the door. There are no windows in the room. The floor is 9' by 1
Aleksandr [31]

Answer:

Part 1) The area of the 4 walls is 368\ ft^2

Part 2) You will have to buy 2 gallons

Part 3) You will have to buy 3 gallons

Part 4) \$75

Part 5) The area of the floor is 126\ ft^2

Part 6) \$850.5

Part 7) \$1,008

Part 8) \$472.5

Step-by-step explanation:

Part 1) What is the area of all 4 walls together?

we know that

The area of all 4 walls together is equal to the perimeter of the floor multiplied by the height of the wall (8 ft)

so

The perimeter of the floor is

P=2(9+14)=46\ ft

The area of the walls is

46(8)=368\ ft^2

Part 2) If a gallon of paint covers 350 sq. ft., How many gallons will you have to buy?

using proportion

\frac{1}{350}\ \frac{gal}{ft^2}=\frac{x}{368}\ \frac{gal}{ft^2}\\\\x=368/350\\\\x=1.05\ gal

Remember that you can't buy a fraction of gallon

so

You will have to buy 2 gallons

Part 3) How many gallons will it take to put on 2 coats of paint?

Now the area will be

368(2)=736\ ft^2

using proportion

\frac{1}{350}\ \frac{gal}{ft^2}=\frac{x}{736}\ \frac{gal}{ft^2}\\\\x=736/350\\\\x=2.10\ gal

Remember that you can't buy a fraction of gallon

so

You will have to buy 3 gallons

Part 4) If the paint costs $25 per gallon, and you are applying 2 coats of paint, how much will you spend on paint?

To find the cost multiply the number of gallons by $25 per gallon

so

3(25)=\$75

Part 5) What is the area of the floor?

The area of the floor (rectangle ) is equal to multiply the length of the floor by the width of the floor

A=(9)(14)=126\ ft^2

Part 6) What is the cost to redo the floor in oak?

To find the cost multiply the area of the floor by $6.75 per square foot

so

126(6.75)=\$850.5

Part 7) What is the cost to redo the floor in maple?

To find the cost multiply the area of the floor by $8.00 per square foot

so

126(8.00)=\$1,008

Part 8) What is the cost to redo the floor in carpet?

To find the cost multiply the area of the floor by $3.75 per square foot

so

126(3.75)=\$472.5

5 0
3 years ago
Which functions graph is a translation of the graph of f(x)= 3x^2 + 4 seven units down?
asambeis [7]

Answer:

Option C

Step-by-step explanation:

Consider the function f ( x ) = 3x^2 + 4;

f ( x ) = 3x^2 + 4,\\\\4 = vertex ( y - intercept ),\\\\\\

Now if this graph were to be translated 7 units down, considering the function was f ( x ) = 3x^2, the new graph would be f ( x ) = 3x^2 - 7. The same concept is applied to the graph f ( x ) = 3x^2 + 4;

4 - 7 = - 3,\\f ( x ) = 3x^2 - 3\\\\Solution - Option C

* Note that a translation doesn't effect the rate with which the graph changes, it only effect's it's position on the coordinate plane

<em>Hope that helps!</em>

4 0
3 years ago
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