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LenKa [72]
3 years ago
8

Work out the perimeter of this semicircle take pie to be 3.142 radius in image attached thanks (:

Mathematics
2 answers:
inna [77]3 years ago
7 0

Answer:

\boxed{P = 56.55751919 cm}

Step-by-step explanation:

Perimeter of semicircle = \frac{2\pi r}{2} + 2r

Where r = 11 cm

=> P = \frac{2(3.142)(11)}{2} + 2(11)

=> P = 34.55 + 22

=> P = 56.55751919 cm

Shtirlitz [24]3 years ago
4 0

Answer:

<h2>56.562 cm</h2>

Solution,

Radius(R)= 11 cm

Perimeter of semi-circle:

\pi \: r + 2r

= 3.142 \times 11 + 2 \times 11

= 34.562 + 22

56.562 \: cm

Hope this helps...

Good luck on your assignment..

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Find the equation of the tangent line to the curve (a lemniscate)
olya-2409 [2.1K]

Answer:

m=\frac{9}{13} and b=\frac{40}{13}

Step-by-step explanation:

The equation of curve is

2(x^2+y^2)^2=25(x^2-y^2)

We need to find the equation of the tangent line to the curve at the point (-3, 1).

Differentiate with respect to x.

2[2(x^2+y^2)\frac{d}{dx}(x^2+y^2)]=25(2x-2y\frac{dy}{dx})

4(x^2+y^2)(2x+2y\frac{dy}{dx})=25(2x-2y\frac{dy}{dx})

The point of tangency is (-3,1). It means the slope of tangent is \frac{dy}{dx}_{(-3,1)}.

Substitute x=-3 and y=1 in the above equation.

4((-3)^2+(1)^2)(2(-3)+2(1)\frac{dy}{dx})=25(2(-3)-2(1)\frac{dy}{dx})

40(-6+2\frac{dy}{dx})=25(-6-2\frac{dy}{dx})

-240+80\frac{dy}{dx})=-150-50\frac{dy}{dx}

80\frac{dy}{dx}+50\frac{dy}{dx}=-150+240

130\frac{dy}{dx}=90

Divide both sides by 130.

\frac{dy}{dx}=\frac{9}{13}

If a line passes through a points (x_1,y_1) with slope m, then the point slope form of the line is

y-y_1=m(x-x_1)

The slope of tangent line is \frac{9}{13} and it passes through the point (-3,1). So, the equation of tangent is

y-1=\frac{9}{13}(x-(-3))

y-1=\frac{9}{13}(x)+\frac{27}{13}

Add 1 on both sides.

y=\frac{9}{13}(x)+\frac{27}{13}+1

y=\frac{9}{13}(x)+\frac{40}{13}

Therefore, m=\frac{9}{13} and b=\frac{40}{13}.

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Answer:

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Step-by-step explanation:

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divide by 3

y = -10/3x - 1

original equation

5x - 4y = -3

subtract 5x

-4y = -5x-3

divide by -4

y = 5/4x + 3/4

the slopes are not equal to each other (5/4x and -10/3x) so they are not parallel

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Answer:

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Step 1: Add c to both sides.

ax+bx−c+c=0+c

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x(a+b)a+b=ca+b

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4 0
3 years ago
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