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Tamiku [17]
3 years ago
15

The swimming pool in a leisure centre is shown below.

Mathematics
1 answer:
yawa3891 [41]3 years ago
7 0

Answer:

Step-by-step explanation:

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Find the dimensions of a rectangle (in m) with area 1,728 m2 whose perimeter is as small as possible. (Enter the dimensions as a
lozanna [386]

Given :

Area of rectangle.

To Find :

The dimensions of a rectangle (in m) with area 1,728 m2 whose perimeter is as small as possible.

Solution :

Let, the dimensions of rectangle is x and y.

Area, A = xy.

x = A/y.              ....1)

Perimeter, P = 2( x + y )

Putting value of x in above equation, we get :

P = 2( y + \dfrac{A}{y})

For minimum P,

\dfrac{dP}{dx}=2( 1 - \dfrac{A}{x^2})=0\\\\A = x^2

SO, it is a square.

x=\sqrt{A}\\\\x=\sqrt{1728\ m^2}\\\\x=24\sqrt{3}\ m

Therefore, the dimensions are (24\sqrt{3},24\sqrt{3}).24\sqrt{3}

Hence, this is the required solution.

7 0
3 years ago
Solve this equation by using the look inside method to rewrite the problem <br><br> -81 = 3(5 - 4r)
TEA [102]
-81=3(5-4r)
27=-(5-4r)
27=-5+4r
-4r=-5-27
-4r=-32
r=8

Hope my answer helped u :)
4 0
3 years ago
What is the answer to this?
a_sh-v [17]
The answer is 35 bc it has pointed on the dot
5 0
4 years ago
How would you solve this?? i need to understand the process to theses types of problems!!
Evgen [1.6K]

Answer:

  CD = 10√3

Step-by-step explanation:

First of all, you need to understand the terms. The <em>incenter</em> is the center of an inscribed circle. Such a circle is tangent to all three sides of the triangle at points B, D, and F. The distances BG, DG, and FG are each the radius of the circle.

The diagram shows FG = 22, so that is also the measure of DG. This gives you two of the three sides of right triangle CDG, so you know enough to apply the Pythagorean theorem.

  CG^2 = CD^2 + DG^2

  28^2 = CD^2 + 22^2

  300 = CD^2 . . . . . . . . subtract 22^2

  10√3 = CD . . . . . . . . . take the positive square root

The measure of CD is 10√3.

_____

The process is to understand the geometric relationships and what they mean regarding the algebraic relationships. Then you use the algebraic relationships to write equations that let you find the unknowns you seek.

8 0
3 years ago
What does the pythagoras famous theorem involve
Ierofanga [76]

Its formula Is h^2=b^2+c^2

and it involves the perpendicular, the base and the hypotenuse of a right triangle only.

Usually in questions, one of the value is not given and we have to solve using the theorem to get the last value

 

5 0
3 years ago
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