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4 years ago

the area of a circle is 96 square inches. What is the area of a circlewhose diameter is 1.5 times the diameter of the circle?

1 answer:

5 0

The area of a circle A equals either:
πr² or πd²/4

96 = πd²/4 => d = 11 inches

The diameter of the second circle equals :
11*1.5 = 16.5 inches

The area equals: π(16.5)²/4 = 214 square inches

Good luck

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I need the corresponding letters on the equation. A= B= C= D= E= F= G=

REY [17]

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A = 3

B = 1

C = 2

D = 10

E = 2

F = Not listed

G = 1

Step-by-step explanation:

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3 years ago

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jeka57 [31]

Given statement is False, if a light cost $3, it could be either Green or Yellow.

Converse: If the light bulb was Yellow, then the cost was $3 = True

Contrapositive makes both statements negative and switches the order of the original statement.

So something like: If the light bulb is not yellow, then the cost would not be $3 = False because two colors cost the $3.

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3 years ago

Read 2 more answers

jenna's rectangular garden borders a wall. she buys 80 ft of fencing. what are the dimensions of the garden that will maximize i

FrozenT [24]

Answer:

The dimensions are x =20 and y=20 of the garden that will maximize its area is 400

Step-by-step explanation:

Step 1:-

let 'x' be the length and the 'y' be the width of the rectangle

given Jenna's buys 80ft of fencing of rectangle so the perimeter of the rectangle is 2(x +y) = 80

x + y =40

y = 40 -x

now the area of the rectangle A = length X width

A = x y

substitute 'y' value in above A = x (40 - x)

A = 40 x - x^2 .....(1)

Step :2

now differentiating equation (1) with respective to 'x'

$\frac{dA}{dx} = 40 -2x$ ........(2)

Find the dimensions

$\frac{dA}{dx} = 0$

40 - 2x =0

40 = 2x

x = 20

and y = 40 - x = 40 -20 =20

The dimensions are x =20 and y=20

length = 20 and breadth = 20

Step 3:-

we have to find maximum area

Again differentiating equation (2) with respective to 'x' we get

$\frac{d^2A}{dx^2} = -2$

Now the maximum area A = x y at x =20 and y=20

A = 20 X 20 = 400

Conclusion:-

The dimensions are x =20 and y=20 of the garden that will maximize its area is 400

verification:-

The perimeter = 2(x +y) =80

2(20 +20) =80

2(40) =80

80 =80

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3 years ago