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3 years ago

IM BAD AT PROPORTIONAL RELATIONSHIPS PLEASE HELP

Mathematics

2 answers:

Romashka-Z-Leto [24]3 years ago

8 0

Answer:

i will say Yes

Step-by-step explanation:

andriy [413]3 years ago

8 0

Answer:

I say yes

Step-by-step explanation:

This is because if you work it out step by step by step you will get the numbers equally

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Find the profit % if selling price is Rs 130 and profit is Rs5

Ad libitum [116K]

Answer:

3.85 % to 2 decimal places

Step-by-step explanation:

If you have Rs5 profit it means that you have sold it for 135

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Then times the answer by 100 *100

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What are the solutions to (x+3)(x-4)=0?

marishachu [46]

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-3, 4

Step-by-step explanation:

(x+3)(x-4)=0

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3 years ago

The values of x and y vary directly, and when x=48, y=36. Find the value of x when y=18.

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Step-by-step explanation:

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2 years ago

Find the length of the side labeled x. Please help

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Step-by-step explanation:

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3 years ago

Steve likes to entertain friends at parties with "wire tricks." Suppose he takes a piece of wire 52 inches long and cuts it into

Ilia_Sergeevich [38]

Answer:

Steve should use:

8.53 Inch of Wire to make the circle
43.47 Inches of Wire to make the Square.

Step-by-step explanation:

Let Steve cut the wire so that the first piece has length x.

Therefore, the second piece will have a length of (52 - x).

The wire of length x is used to make a circle

Circumference of a Circle,

$c = 2\pi r\\Therefore\\2\pi r=x\\r=\dfrac{x}{2\pi}$

$\text{Area of a circle, A}=\pi r^2= \pi (\dfrac{x}{2\pi})^2=\pi (\dfrac{x^2}{4\pi^2})\\A=\dfrac{x^2}{4\pi}$

The wire of length (52-x) is used to make a square.

$\text{Side length of the Square,}$ $s= \dfrac{52-x}{4}$

$\text{Area of the Square},s^2= \left(\dfrac{52-x}{4}\right)^2=\dfrac{(52-x)^2}{16}=\dfrac{x^2-104x+2704}{16}$

Total Area = Area of Circle + Area of Square

$Area=\dfrac{x^2}{4\pi}+\dfrac{x^2-104x+2704}{16}$

Let us simplify the expression

$Area=\dfrac{16x^2+\pi(x^2-104x+2704)}{16\pi}\\=\dfrac{16x^2+\pi x^2-104\pix+2704\pi}{16\pi}\\=\dfrac{x^2(16+\pi)-104\pi x+2704\pi}{16\pi}\\=\dfrac{x^2(16+\pi)}{16\pi}-\dfrac{104\pi x}{16\pi}+\dfrac{2704\pi}{16\pi}\\A=\dfrac{x^2(16+\pi)}{16\pi}-6.5x+169$

This is the function of a parabola which opens up.

To find where A is minimum, find the axis of symmetry.

$$Using \: x=-\frac{b}{2a}$

$a=\dfrac{16+\pi}{16\pi}, b=-6.5\\ x=-\dfrac{-6.5}{2(\dfrac{16+\pi}{16\pi})}=8.53\:Inches$

Steve should cut the wire so that the length of wire used to make a circle is 8.53 Inches.

Length of wire used to make the square =52-8.53=43.47 Inches

7 0

3 years ago