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3 years ago

8. What angle do the hour and minute hands of a clock form when it is exactly 9.00p.m.?

Mathematics

2 answers:

Fynjy0 [20]3 years ago

5 0

Answer:

90 degrees

Step-by-step explanation:

please say thanks

Elenna [48]3 years ago

3 0

At 9 o clock, the hour hand is at 9 and the minute hand is at 12. The angle between the two hands is 90 degrees.

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3 years ago

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laila [671]

Answer:

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Step-by-step explanation:

Given that the only information for our triangle are 2 sides and 1 angle, we must use the Law of Cosines to find side BC

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$a^2=b^2+c^2-2bc\cdot cos(A)$

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$m\angle A=23^\circ\\a=BC=?\\b=AC=14\\c=AB=6$

Solve for side "a"

$a^2=b^2+c^2-2bc\cdot cos(A)\\\\a^2=14^2+6^2-2(14)(6)\cdot cos(23^\circ)\\\\a^2=196+36-168cos(23^\circ)\\\\a^2=222-168cos(23^\circ)\\\\a=\sqrt{222-168cos(23^\circ)}\\ \\a\approx8.2$

Therefore, the length of line segment BC is about 8.2 units

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2 years ago

8. What angle do the hour and minute hands of a clock form when it is exactly 9.00p.m.?​

8. What angle do the hour and minute hands of a clock form when it is exactly 9.00p.m.?