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maw [93]
2 years ago
9

A rectangular pool has length of 6 m and 3 m width. The pool is surrounded by a uniform edge with width x m. Given the area of t

he pool side is 32 m². Form a quadratic function and equation for the situation.​
Mathematics
1 answer:
monitta2 years ago
5 0

Answer:

you can solve this problem with the help of this example :

A rectangular pool 20 meters wide and 60 meters long is surrounded by a walkway of uniform width. If the total area of the walkway is 516 square meters, how wide, in meters, is the walkway?

Sol:

A rectangular pool has length l=60m & breadth b=20m.

It has a surrounding walkway of area =516m

2

.

Area (pool) =60×20=1200m

2

Let us take the width of the walkway =

2

X

.

∴ The length as well as the breadth of the area (pool+walkway) will be increased by X

So the length =l of the area (pool+walkway) =(60+X)m and the breadth =b=(20+X)m

∴ Area (pool+walkway) =l×b=[(60+X)×(20+X)]m

2

.

∴ Area (walkway) = Area (pool+walkway) - Area (pool)

=(60+X)×(20+X)−1200=516m

2

....(given)

⇒X

2

+80X−516=0

⇒X=−86 or X=6.

We reject the negative value as X is a length.

So X=6m.

Ans- The width of the walkway =

2

X

=3m.

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Answer:

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3 0
2 years ago
Not sure how to do #69, it's a calc 1 question
Gnoma [55]
Let A( t , f( t ) ) be the point(s) at which the graph of the function has a horizontal tangent => f ' ( t ) = 0.

But, f ' ( x ) = [ ( x^2 ) ' * ( x - 1 ) - ( x^2 ) * ( x - 1 )' ] / ( x - 1 )^2 =>
f ' ( x ) = [ 2x( x - 1 ) - ( x^2 ) * 1 ] / ( x - 1 )^2 => f ' ( x ) = ( x^2 - 2x ) / ( x - 1 )^2;

f ' ( t ) = 0 <=> t^2 - 2t = 0 <=> t * ( t - 2 ) = 0 <=> t = 0 or t = 2 => f ( 0 ) = 0; f ( 2 ) = 4 => A 1 ( 0 , 0 ) and A 2 ( 2 , 4 ).
3 0
3 years ago
What are the Swiss flag measurements
kari74 [83]

Answer:

  The flag of Switzerland is square.

Step-by-step explanation:

Only Switzerland has a flag that is square.

The measurements can be anything convenient. The aspect ratio (height to width) is 1 : 1.

When the flag is displayed next to a rectangular flag, it should have the same area as the rectangular flag. (This will mean the Swiss flag side length is the geometric mean of the rectangular flag dimensions.)

_____

Sometimes, the measurements of the flag are chosen to go with the height of the flagpole. The US flag is customarily displayed on a pole 3-4 times as long as the flag is long. That is, the diagonal of the flag is about 0.28 to 0.38 times the pole height.* I could not find comparable information about the Swiss flag.

____

* The diagonal is of interest when the flag is hanging down along the pole, not flying in the wind.

5 0
3 years ago
1/5 of the shoes in a factory are green. If you pick a shoe, replace it, pick another shoe and replace it, and pick a third shoe
Ne4ueva [31]

Answer:

The probability that none of the three shoes selected are green = 64/125

Step-by-step explanation:

If we have 1/5 of shoes being green, then the number of non-green shoes = 1-1/5 = 4/5

Now, this is a probability with replacement.

probability of the first shoe since it’s not green = 4/5

probability of second shoes since it’s not green = 4/5

probability of third shoe since it’s not green = 4/5

Now, the probability that none of the shoes are green = 4/5 * 4/5 * 4/5 = 64/125

7 0
3 years ago
Find the x-intercepts of f(x) = x2 + 7x + 10.
Andrej [43]

Answer:

x = - 5, x = - 2

Step-by-step explanation:

Given

f(x) = x² + 7x + 10

To find the x- intercepts let f(x) = 0, that is

x² + 7x + 10 = 0 ← in standard form

(x + 2)(x + 5) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x + 5 = 0 ⇒ x = - 5

The x- intercepts are (- 5, 0) and (- 2, 0 )

6 0
3 years ago
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