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antoniya [11.8K]
3 years ago
8

Students arrived at the science museum at 1:15 P.M. They stayed at the museum for

Mathematics
2 answers:
marshall27 [118]3 years ago
6 0
A I think sorry If wrong
Diano4ka-milaya [45]3 years ago
3 0

Answer: A. O 3:06 P.M.

Step-by-step explanation: 1:15+2 hours=3:15       3:15+51 mins=3:06

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Part 1:

Given that the length of the chord is 18 cm and the chord is midway the radius of the circle. 

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Part 2I:

Given that the radius of the circle is 10 cm and the length of chord AB is 8 cm. Thus, half the length of the chord is 4cm. Let the distance of the mid-point O to /AB/ be x and half the angle formed by the chord at the centre of the circle be θ, then

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\cos23.6^o= \frac{x}{10} \\ \\ \Rightarrow x=10\cos23.6^o=9.165\approx9.2cm


Part 2II:

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\sin40^o= \frac{y}{10}  \\  \\  \\ \Rightarrow y=10\sin40^o=6.428

Thus, the length of chord CD = 2(6.428) = 12.856 which is approximately 12.9 cm.
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