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Strike441 [17]
2 years ago
12

Jason builds doghouses for a pet store. Each doghouse is a wooden structure with a rectangular base that has an area of 21 squar

e feet and a length that is 4 feet more than its width.
If x represents the width of the doghouse, write an equation in the given form that can be used to determine the possible dimensions of the base of the doghouse.

Mathematics
2 answers:
krok68 [10]2 years ago
5 0

The equation that can be used to determine the dimensions of the base of the doghouse is x² + 4x = 21

<h3> What is the equation?</h3>

A quadratic equation is an equation that usually has a single variable and it is raised to the power of 2.

Area of a rectangle = length x width

  • width = x
  • length = 4 + x

x (4 + x) = 21

x² + 4x = 21

To learn more about quadratic equations , please check: brainly.com/question/27696091

#SPJ1

MrMuchimi2 years ago
4 0

The equation in the given form that can be used to determine the possible dimensions of the base of the doghouse will be, 21=4x+x².

<h3>What is the area?</h3>

The space filled by a flat form or the surface of an item is known as the area.

The number of unit squares that cover the surface of a closed-form is the figure's area. Square centimeters and other similar units are used to measure area.

Given data;

Area of rectangular base(A) = 21 square feet

The length is 4 feet more than its width, L=4+x

If x represents the width of the doghouse

The equation in the given form can be used to determine the possible dimensions of the base of the doghouse;

Area of the rectangular base;

A= L × x

A = (4+x)x

21=4x+x²

Hence the obtained equation for the given value will be, 21=4x+x².

To learn more about the area, refer to the link;

brainly.com/question/11952845

#SPJ1

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nikitadnepr [17]
At the point when Hannah takes her first sweet from the sack, there is a 6/n chance it is orange. 
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This is because there are just 5 orange desserts let alone for an aggregate of n-1 desserts. 
The possibility of getting two orange desserts in succession is the main likelihood increased by the second one: 6/n x 5/n–1 
The question lets us know that the shot of Hannah getting two orange desserts is 1/3. 
So: 6/n x 5/n–1 = 1/3 
Now, rearrange this problem. 
(6x5)/n(n-1) = 1/3 
This gets to be: 
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Step-by-step explanation:

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Which relation is a function?
xz_007 [3.2K]

Answer:

I see this

"Which relation is a function?

A {(-3,4),(-3,8),(6,8)}

B {(6,4),(-3,8),(6,8)}

C {(-3,4),(3,-8),(3,8)}

D {(-3,4),(3,5),(-3,8)}"

So the answer is none of these.

Please make sure you have the correct problem.

Step-by-step explanation:

A set of points is a function if you have all your x's are different.  That is, all the x's must be distinct. There can be no value of x that appears more than once.

If you look at choice A, this is not a function because the first two points share the same x, which is -3.

Choice B is not a function because the first and last point share the same x, which is 6.

Choice C is not a function because the last two points share the same x, which is 3.

Choice D is not a function because the first and last choice share the same x, which is -3.

None of your choices show a function.

If you don't have that choice you might want to verify you written the problem correctly.

This is what I see:

"Which relation is a function?

A {(-3,4),(-3,8),(6,8)}

B {(6,4),(-3,8),(6,8)}

C {(-3,4),(3,-8),(3,8)}

D {(-3,4),(3,5),(-3,8)}"

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nadya68 [22]

Answer:

Player II should remove 14 coins from the heap of size 22.

Step-by-step explanation:

To properly answer this this question, we need to understand the principle and what it is exactly is being asked.

This question revolves round a game of Nim

What is a game of Nim: This is a strategic mathematical game whereby,  two opposing sides or opponent take turns taking away objects from a load or piles. On each turn, a player remove at least an object and may remove any number of objects provided they all come from the same heap/pile.

Now, referring back to the question, we should first understand that:

                        22₂ = 1 0 1 1 0

                         19₂= 1 0 0 1 1

                         14₂= 0 1 1 1 0

                          11₂= 0 1 0 1 1

and also that the “bit sums” are all even, so this is a balanced game.

However, after Player I removes 6 coins from the heap of size 19, Player II should remove 14 coins from the heap of size 22.

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