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Pavlova-9 [17]
3 years ago
6

Please help multiple choice math

Mathematics
1 answer:
Travka [436]3 years ago
3 0

Answer:

Step-by-step explanation:

This is aright angle triangle, we can apply any of the trigonometry ratio formulae

SOH, CAH TOA

We can apply any of them since we know the opposite, adjacent and the hypotenuse

Therefore, let use sin

Sinx=opposite / hypotenuse

Opposite is the side facing the unknown angle while hypotenuse is the longest side or the side facing the right angle triangle

Then, opposite is 45 and hypotenuse is 53

Sinx= opp/hyp

Sinx=45/53

Sinx=0.8491

x=arcsin(0.8491)

x=58.11°

x is approximately 58°

The last option is the correct option

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A van travelled at an average speed of 65km/hr from town A. A 35 minutes later a car started from town A ans drove along the sam
kobusy [5.1K]

Answer:

91.6 km/h

Step-by-step explanation:

Let v = average speed of van = 65 km/h and v' = average speed of car. Let t be the time the car starts to move. The van started 35 minutes earlier at t' = (t + 35/60) h.

Since distance d = vt where v = velocity and t = time, the distance moved by the van d = vt' = v(t + 35/60) and that moved by the car is d' = v't.

Since the car catches up with the van after it had moved a distance of 130 km,  d = d' = 130 km.

So d = v(t + 0.583)

Substituting d = 130 km and v = 65 km/h, we have

130 km = 65 km/h(t + 0.583)

130 km = (65t + 37.895 )km

subtracting 37.895 from both sides, we have

130 km - 37.895 km = 65t

92.105 = 65t

dividing both sides by 65, we have

t = 92.105/65

= 1.417 h

≅ 1.42 h

Since d = d' = v't,

v' = d'/t

= 130 km/1.42 h

= 91.55 km/h

≅ 91.6 km/h

So, the average speed of the car is 91.6 km/h

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