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 parking garage. He described his movement with the expression below. 9 + (negative 7) What is Sebastian's error?

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)

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d