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3 years ago

Find the length of the arc of the semicircle. Use 3.14 as an approximation for 7. 44 in.

Mathematics

1 answer:

marin [14]3 years ago

3 0

Answer:

I wish I could help but I wasn't very good at geometry

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Find the angles between -pi and pi that satisfy:<br><br> (−√3) sin(v)+cos(v)=√3

MAXImum [283]

Observe that

$\sin\left(\dfrac\pi6-v\right)=\sin\dfrac\pi6\cos v-\cos\dfrac\pi6\sin v=\dfrac12\cos v-\dfrac{\sqrt3}2\sin v$

In the original equation, divide both sides by $\dfrac12$ :

$-\sqrt3\sin v+\cos v=\sqrt3\implies\dfrac12\cos v-\dfrac{\sqrt3}2\sin v=\dfrac{\sqrt3}2$

$\implies\sin\left(\dfrac\pi6-v\right)=\dfrac{\sqrt3}2$

Next,

$\sin x=\dfrac{\sqrt3}2\implies x=\dfrac\pi3+2n\pi,x=\dfrac{2\pi}3+2n\pi$

where $n$ is any integer. Then

$\sin\left(\dfrac\pi6-v\right)\implies v=-\dfrac\pi6-2n\pi,v=-\dfrac\pi2-2n\pi$

Fix $n=0$ to ensure $-\pi$ , so that

$v=-\dfrac\pi6,v=-\dfrac\pi2$

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3 years ago

If my diameter is 20.6ft how would i get my radius,area,circumference?

sveta [45]

Step-by-step explanation:

Radius is half of the diameter

Circumference is 2*pi*radius

Area is pi*radius^2

So r (radius)= 10.3

C (circumference)=64.72

and A (area)=333.29

feel free to ask more questions :)

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4 years ago

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Vinvika [58]

Answer:

P = 11.2

Step-by-step explanation

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Help! Geometry #11&13

Alona [7]

I think #13 is A (90 cubic meters) even though you already have that

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Calculate the area of a circle with radius of 2cm (1dp)

Shalnov [3]

Pi r^2 = area of a circle so therefore answer is 12.6cm^2

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