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dmitriy555 [2]
3 years ago
6

How do you get the answer to 18,000 seconds = hrs?

Mathematics
2 answers:
Alex777 [14]3 years ago
5 0
First you'd convert the seconds into minutes by dividing.

18,000 / 60 (60 secs in a min) = 300 minutes

Then, similarly,  you would convert the minutes into hours.

300 / 60 (60 mins in an hr) = 5 hours

The answer is 5 hours.
Nadya [2.5K]3 years ago
5 0
You would divide 18,000 seconds by 60 seconds (which is equivalent to a minute)
the you would take the number you just got and divide that number by 60 minutes (which is equivalent to an hour)
that should give you the correct answer
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The bearing of Q from P is 150
Lynna [10]

Answer:

(i) see first attached diagram

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(iii) 243°

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A bearing is the angle in degrees measured clockwise from north.

<u />

<u>Part (i)</u>

see first attached diagram

<u>Part (ii)</u>

The angles marked in blue on the second attached diagram are Consecutive Interior Angles.  In this case they add to 180° as the North lines are parallel.

The sum of angles around a point is 360°

⇒ m∠QPR (shown in red on the second attached diagram) = 360 - 150 - (180 - 15) = 45°        

To calculate the distance between Q and R (marked in red on the attached diagram), use the cosine rule.

⇒ QR² = PR² + QP² - 2(PR)(QP)cos(QPR)

⇒ QR² = 32² + 24² - 2(32)(24)cos(45)

⇒ QR² = 513.8839841...

⇒ QR = √513.8839841...

⇒ QR = 22.67 km (2 dp)

<u>Part (iii)</u>

We need to find the angle marked in green on the third attached diagram.

To do this, we need to find the angle marked in pink and the angle marked in orange, then subtract them from 360°

Pink angle = 180 - 150 = 30° (using the same consecutive angle theorem as before)

Orange angle (o) using the sine rule:

⇒ sin(o)/32 = sin(45)/QR

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⇒ sin(o) = 0.9981652337...

⇒ o = 86.52868176...°

Therefore, the green angle = 360 - 30 - 86.52868176... = 243° (nearest degree)

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