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Alexxandr [17]
3 years ago
7

Sebastian was in a hotel lobby and took the elevator up 7 floors to his room. Then he took the elevator down 9 floors to the par

king garage. He described his movement with the expression below. 9 + (negative 7) What is Sebastian's error?
Mathematics
2 answers:
Aliun [14]3 years ago
8 0

Answer:

Sebastian should have started at zero before adding –7.

Step-by-step explanation:

nvm wrong

Aleks [24]3 years ago
4 0

Answer:

Sebastian's error = 9 + (-7)

The correct expression for Sebastian's movement = 7 + (-9)

Step-by-step explanation:

Using the Lobby as a reference point

Sebastian's took 7 floors to his room

Hence, Lobby + 7 floors = Sebastian's room

Then, he took 9 floors down to the garage

Hence, Room - 9 floors = Garage

Therefore the total movement for Sebastian = Number of floors taken to his room + Number of floors taken to the garage

= 7 +(-9)

a) Sebastian's error was making the number of movements to his room negative, it is meant to be positive because he took the elevators UP

b) Sebastian's error was making the number of movements to the elevator positive, it is meant to be negative because he took the elevators DOWN to the garage

Hence, the correct expression = 7 +(-9)

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A petrol kiosk p is 12 km due north of another petrol kiosk q. The bearing of a police station r from p is 135 degree and that f
tiny-mole [99]

Answer:

Distance between P and R is 40.15 km.

Step-by-step explanation:

From the picture attached,

Petrol kiosk P is 12 km due North of another petrol kiosk Q.

Bearing of a police station R is 135° from P and 120° from Q.

m∠QPR = 180° - 135° = 45°

m∠PQR = 120°

m∠PRQ = 180° - (m∠QPR +m∠PQR)

             = 180° - (45° + 120°)

             = 180° - 165°

             = 15°

Now we apply sine rule in ΔPQR to measure the distance between P and R.

\frac{\text{sin}(\angle QPR)}{\text{QR}}= \frac{\text{sin}(\angle PQR)}{\text{PR}}=\frac{\text{sin}\angle PRQ}{\text{PQ}}

\frac{\text{sin}(45)}{\text{QR}}= \frac{\text{sin}(120)}{\text{PR}}=\frac{\text{sin}(15)}{\text{12}}

\frac{\text{sin}(120)}{\text{PR}}=\frac{\text{sin}(15)}{\text{12}}

PR = \frac{12\text{sin}(120)}{\text{sin}(15)}

PR = 40.15 km

Therefore, distance between P and R is 40.15 km.

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