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Lubov Fominskaja [6]
3 years ago
11

Part C: YX = 24 meters and mYX = 120 degrees , then determine the radius of circle H.

Mathematics
1 answer:
astra-53 [7]3 years ago
4 0

Answer: The radius is 11.5 meters (to the nearest tenth)

Step-by-step explanation: The circle with center H has an arc TX that measures 24 meters, and also the angle subtended by YX equals 120°.

The length of an arc is given b the formula;

Length of arc = (∅/360) x 2πr

Where the length of the arc is 24 and ∅ is 120, the formula becomes;

24 = (120/360) x 2(3.14) r

24 = (1/3) x 6.28 r

By cross multiplication we now have,

(24 x 3)/6.28 = r

72/6.28 = r

11.4649 = r

r ≈ 11.5

Therefore, the radius is approximately 11.5 meters

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3 years ago
The frequency table shows the results of tossing a number cube 50 times. Which statement
Paul [167]

Answer:

Option (1) is the correct option.

Step-by-step explanation:

From the given frequency table,

Option (1).

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Option (2)

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Option (3)

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Therefore, Option (3) is incorrect.

Option (4)

Probability of tossing the number 2 = \frac{\text{Frequency of tossing 2}}{\text{Total frequency}}

                                                           = \frac{10}{8+10+6+10+7+9}

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Therefore, option (4) is incorrect.

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