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Gekata [30.6K]
3 years ago
13

Prove: If a chord of a circle has a common end point with a diameter and makes an angle of 30° with it, prove that the distance

from the center to the chord is one-fourth the length of the diameter.

Mathematics
1 answer:
nignag [31]3 years ago
6 0

Step-by-step explanation:

The perpendicular distance between the chord and the center of the circle forms a right triangle with the chord and the radius.  Using trig:

sin 30° = x / (D/2)

sin 30° = 2x / D

1/2 = 2x / D

x = D/4

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Thepotemich [5.8K]

Answer:

x=4 and y=2

Step-by-step explanation: Step 1: Solve x+3y=10 for x:

x+3y=10

x+3y+−3y=10+−3y(Add -3y to both sides)

x=−3y+10

Step 2: Substitute−3y+10for x in2x+2y=12:

2x+2y=12

2(−3y+10)+2y=12

−4y+20=12(Simplify both sides of the equation)

−4y+20+−20=12+−20(Add -20 to both sides)

−4y=−8

−4y

−4

=

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(Divide both sides by -4)

y=2

Step 3: Substitute 2 for y in x=−3y+10:

x=−3y+10

x=(−3)(2)+10

x=4(Simplify both sides of the equation)

So your answer would be x=4 and y=2

Hope this helps

4 0
3 years ago
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Ivahew [28]

Answer:

-8

Step-by-step explanation:

\frac{x}{2} +6=2\\

\frac{x}{2} =2-6

\frac{x}{2} = -4

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Answer:

(0,-2)

Step-by-step explanation:

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saveliy_v [14]

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2 years ago
Can i have some help
Nuetrik [128]
A. A> 8.3
Hope that helped
3 0
3 years ago
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