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4 years ago

Are these two equations equivalent

Mathematics

1 answer:

zzz [600]4 years ago

4 0

No because if you look at it flipped and do 100/4=25 then 100/5= 20 so 20 and 25 aren’t the same

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Among all rectangles that have a perimeter of 182, find the dimensions of the one whose area is largest.

Evgen [1.6K]

Answer:

<em>The largest rectangle of perimeter 182 is a square of side 45.5</em>

Step-by-step explanation:

<u>Maximization Using Derivatives</u>

The procedure consists in finding an appropriate function that depends on only one variable. Then, the first derivative of the function will be found, equated to 0 and find the maximum or minimum values.

Suppose we have a rectangle of dimensions x and y. The area of that rectangle is:

$A=x.y$

And the perimeter is

$P=2x+2y$

We know the perimeter is 182, thus

$2x+2y=182$

Simplifying

$x+y=91$

Solving for y

$y=91-x$

The area is

$A=x.(91-x)=91x-x^2$

Taking the derivative:

$A'=91-2x$

Equating to 0

$91-2x=0$

Solving

$x=91/2=45.5$

Finding y

$y=91-x=45.5$

The largest rectangle of perimeter 182 is a square of side 45.5

6 0

4 years ago

PLEASE HELPPPPPP!!!!Tim sells two types of pizza. He charges $10 for a cheese pizza and $15 for a pepperoni pizza. Yesterday he

mr Goodwill [35]

Answer:

$880

Step-by-step explanation:

48 pepperoni pizza=48*15=720

16 cheese pizza=16*10=160

total=$880

8 0

3 years ago

Read 2 more answers

Determine the area of the green sector. A) 5 4 π in2 B) 57 8 π in2 C) 19 4 π in2 D) 19 24 π in2

Alex_Xolod [135]

the complete question in the attached figure

we know that
r=3 in
A=π*r²

the area of the complete circle-------> π*3²=9π in²
the green sector=360°-75°=285°
if 9π in²--------------------------> corresponds a 360°
X---------------------------------> 285°
X=285*9π/360=(285/40)*π---> [(3*5*19)/(8.5)]*π=[(3*19)/(8)]*π=(57/8)*π in²

the answer is (57/8)*π in² (the option B)