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3 years ago

If you get how to do this could you please help me on this question?

Mathematics

2 answers:

Strike441 [17]3 years ago

8 0

Answer:

Step-by-step explanation:

area of the sector = 144 π

the whole circle is πr²= 36²π = 1,296π

the whole circle has an angle of 360°

the area of the sector has the angle ∠FAN

∠FAN/360 = 144π/1,296π

∠FAN = 360 * 144π/ 1,296π

∠FAN = 40°

anzhelika [568]3 years ago

7 0

Fan is at 75 degree angle

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3 years ago

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satela [25.4K]

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Step-by-step explanation:

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3 years ago

A parabola has a focus of F(2, -0.5) and a directrix of y=-1.5 P(x,y) represents any point on the parabola, while D(x, -1.5) rep

prohojiy [21]

The sketch of the parabola is attached below

We have the focus $(a,b) = (2, -0.5)$
The point $P(x,y)$
The directrix, c at $y=-1.5$

The steps to find the equation of the parabola are as follows

Step 1
Find the distance between the focus and the point P using Pythagoras. We have two coordinates; $(2, -0.5)$ and $(x,y)$ .
We need the vertical and horizontal distances to find the hypotenuse (the diagram is shown in the second diagram).
The distance between the focus and point P is given by
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$

Step 2
Find the distance between the point P to the directrix $c$ . It is a vertical distance between y and c, expressed as $y-c$

Step 3
The equation of parabola is then given as
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$ = $y-c$
$(x-a)^{2}+ (y-b)^{2}= (y-c)^{2}$ ⇒ substituting a, b and c
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$(x-2)^{2}+ (y+0.5)^{2}= (y+1.5)^{2}$ ⇒Rearranging and making $y$ the subject gives

$y= \frac{ x^{2} }{2} -2x+1$

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3 years ago