1. Given the triangle below, what is the value of sin 8 ? 12 6 ก 65

Mathematics

2 answers:

Lana71 [14]3 years ago

8 0

Answer:

(2/5)√5

Step-by-step explanation:

from the sine rule (see attached for reference), we can construct the following relationship

12/sinθ = (6√5) / sin 90°

recall that sin 90° = 1, hence our equation becomes:

12/sinθ = (6√5) / 1

12/sinθ = (6√5) (rearranging)

12 ÷ (6√5) = sin θ

sin θ = 12 / (6√5)

sin θ = 2 / √5 (moving radical to numerator by multiplying by √5/√5)

= 2 / √5 x √5/√5

= 2√5 / 5

= (2/5)√5

lara [203]3 years ago

6 0

Answer:

Step-by-step explanation:

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there were some people on a train. 19 people get off the train at first stop.17 people get on the train.now there are 63 people

sdas [7]

Let the people initially on the train be 'x'.

19 people got off the train --> x - 19

17 people got on the train --> x - 19 + 17

Remaining people on the train = 63

Therefore, x - 19 + 17 = 63
                  x - 2 = 63
                       x = 63 + 2
                       x = 65

Verification:
65 - 19 + 17 = 63
65 - 2 = 63
63 = 63
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Hope I helped!

5 0

4 years ago

Line m is parallel to line n. The measure of angle 2 is 64°. What is the measure of angle 5?

zloy xaker [14]

Angles 2 and 6 are corresponding angles.
When parallel lines are cut by a transversal, corresponding angles are congruent, so angles 2 and 6 are congruent.
m<2 = m<6 = 64 deg.

Angles 5 and 6 are a linear pair, so they are supplementary, and their measures add to 180 deg.

m<5 + m<6 = 180

m<5 + 64 = 180

m<5 = 180 - 64

m<5 = 116

Answer: m<5 = 116 deg.

4 0

4 years ago

A baby saw a toy and scooted closer, moving 1/3 of a meter in 1/4 of a minute.How fast was the baby moving

kotegsom [21]

Answer:

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Step-by-step explanation:

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6 0

3 years ago

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Bingel [31]