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Jet001 [13]
3 years ago
14

What is the length of DE?

Mathematics
1 answer:
miskamm [114]3 years ago
5 0

Answer:

11

Step-by-step explanation:

If two chords intersect in a circle, the product of the lengths of the segments of one chord equal the product of the segments of the other.

AC *CB = CD CE

4 * (10-4) = CD * 8

4 * 6 = 8 *CD

24 = 8 CD

Divide each side by 8

24/8 = CD

3 = CD

We want the length DE

DE = CD + CE

     = 3 + 8

DE = 11

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The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.
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Answer:

d = 1.46 m

Step-by-step explanation:

We'll begin by obtaining the relationship between the force (F) and the distance (d). This can be obtained as follow:

From the question given above,

F is inversely proportional to square of d. This can be written as:

F ∝ 1/d²

F = K/d²

Cross multiply

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But:

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Therefore, the relationship between the force (F) and the distance (d) is:

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Finally, we shall determine the distance when the force is 0.045 N. This can be obtained as follow:

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0.045 = 0.096 / d²

Cross multiply

0.045 × d² = 0.096

Divide both side by 0.045

d² = 0.096 / 0.045

Take the square root of both side.

d = √(0.096 / 0.045)

d = 1.46 m.

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