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3 years ago

If the sum of the interior angles of a polygon is 2340, how many sides does the polygon have?

Mathematics

1 answer:

My name is Ann [436]3 years ago

7 0

Answer:

Step-by-step explanation:

Where n represent no.of sides

(2n-4)90=2340

180n-360=2340

180n=2340+360

180n=2700

n=15

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Find equations of the spheres with center(1, −1, 6)that touch the following planes.a) xy-planeb) yz-planec) xz-plane

Misha Larkins [42]

Given :

Center of sphere , C( 1 , -1 , 6 ) .

To Find :

Find equations of the spheres with center (1, −1, 6) that touch the following planes.a) xy-plane b) yz-plane c) xz-plane .

Solution :

Distance of the point from xy-plane is :

d = 6 units .

So , equation of circle with center C and radius 6 units is :

$(x-1)^2+(y-(-1))^2+(z-6)^2=6^2\\\\(x-1)^2+(y+1)^2+(z-6)^2=36$

Distance of point from yz-plane is :

d = 1 unit .

So , equation of circle with center C and radius 1 units is :

$(x-1)^2+(x+1)^2+(z-6)^2=1^2\\\\(x-1)^2+(x+1)^2+(z-6)^2=1$

Distance of point from xz-plane is :

d = 1 unit .

So , equation of circle with center C and radius 1 units is :

$(x-1)^2+(x+1)^2+(z-6)^2=1^2\\\\(x-1)^2+(x+1)^2+(z-6)^2=1$

Hence , this is the required solution .

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3 years ago

Evaluate the principal square root of 64

anygoal [31]

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3 years ago

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A farmer has 5 times as many cows as horses.

Assoli18 [71]

Answer:

The correct answer is !40 cows and 28 Horses

Step-by-step explanation:

h+5h=168

6h=168

h=168/6

h=28 horses.

5*28=140 cows.

Proof:

28=140=168

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Wewaii [24]

Answer:

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