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3 years ago

Assume that two chords in a given circle are the same distance from the

Mathematics

2 answers:

Alenkinab [10]3 years ago

4 0

Step-by-step explanation:

If the two chords are congruent, then they must be equidistant from the centre of the circle.

Answer: D) They must be perpendicular

A is rejected because the chord might not pass through the center of the circle.

B is rejected because the chords are not obligated to be parallel.

C is rejected because it is not compulsory for the chords to be perpendicular.

9966 [12]3 years ago

4 0

Answer:

C. They must be congruent.

Step-by-step explanation:

Took the test

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Hello!

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3 years ago

If sin tetha=root3/2, what is cos tetha?

Minchanka [31]

Answer:

The value of cos Ф is ± $\frac{1}{2}$

Step-by-step explanation:

There are important rules for sin Ф and cos Ф

sin²Ф + cos²Ф = 1

sin²Ф = 1 - cos²Ф

cos²Ф = 1 - sin²Ф

∵ sin Ф = $\frac{\sqrt{3}}{2}$

∴ sin²Ф = $(\frac{\sqrt{3}}{2})^{2}$

∴ sin²Ф = $\frac{3}{4}$

→ By using the third rule above

∵ cos²Ф = 1 - sin²Ф

∴ cos²Ф = 1 - $\frac{3}{4}$

∴ cos²Ф = $\frac{1}{4}$

→ Take square root for both sides

∴ cos Ф = ± $\frac{1}{2}$

∴ The value of cos Ф is ± $\frac{1}{2}$

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3 years ago

A square is cut diagonally into two equal parts. If each part has an area of 50 cm^2, then what is the perimeter of each part?

AysviL [449]

Answer:

30cm

Step-by-step explanation:

Given data

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hence the area of the square = 50+50 = 100cm^2

The length of each side of the square = √100= 10cm

likewise the diagonal of the square = 10cm

Hence the perimeter of the resulting triangle= 10+10+10= 30cm

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