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tiny-mole [99]
3 years ago
13

Eloise's rabbit cage is shape like a rectangular prism. The cage has a height of 28 inches and a volume of 8,680 cubic inches. E

loise bought a plastic mat for the bottom of the cage. The plastic mat fits the bottom of the cage perfectly. What is the area of the plastic mat on the bottom of the cage?
Mathematics
1 answer:
Tems11 [23]3 years ago
4 0

Answer:

310 inches²

Step-by-step explanation:

Given: A rectangular prism cage has a height of 28 inches.

           Volume of prism is 8680 cubic inches.

           

We know the area of base of rectangular prism is equal to the area of rectangle.

∴ Lets find out the lenght and width of rectangular prism.

Volume of rectangular prism= w\times l\times h

Where, w is width

             l is length

             h is height.

Now, putting the value in the formula of volume.

⇒ 8,680= w\times l\times 28

cross multiplying

⇒ wl= \frac{8680}{28}

∴ wl= 310 inches²

As we need to find the area of the plastic mat on the bottom of the cage, which is rectangle in shape.

Area of rectangle= wl

∴ Area of rectangle= 310 inches²

Hence,  310 inches² is the area of the plastic mat on the bottom of the cage.

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Answer:

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Step-by-step explanation:

4x = 32 - x2 would be much clearer if written as 4x = 32 - x^2.  Please use

" ^ " to indicate exponentiation.

Rewrite 4x = 32 - x^2 in the standard form of a quadratic:  x^2 + 4x - 32

Then the coefficients are a = 1, b = 4 and c = -32.

Find the discriminant.  It is b^2-4ac.  

Here, b^2-4ac = 4^2 - 4(1)(-32), or 16 + 128, or 144.

Because the discriminant is positive, we know immediately that this quadratic has two real, unequal roots.

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A muffin recipe, which yields 12 muffins, calls for 2/3 cup of milk for every 1 3/4 cups of flour. The same recipe calls for 1/4
vovikov84 [41]

Answer:

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Step-by-step explanation:

First I'm making all mixed numbers improper fractions.

Base recipe: 12 muffins = 2/3 milk + 7/4 flour + 1/4 coconut + 3/4 apple

Change: 9/8 apple

On second look, I ddn't need to do that except for the last one, the change in apple.  When increasing things proportionally you basically multiply everything by the same number.  A simple example.

Say a recipe made 10 of something with 1 of ingredient A and 2 of ingredient B.  Well, what if you made the recipe twice?  that would be 20 things from 2 of A and 4 of B.  This is the same as changing the recipe to make double.  It works if you halve things as well, or multiply by any number or fraction.

So the point is, we changed the amount of apples.  We want to know how much we changed it by, then that much is how much the total number of muffins changes.  So if we doubled apples the muffins would double, but I don't think it's that simple.

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12*1.5 = 12(3/2) = 18

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