Let v = ⟨-5, 12⟩. What is the approximate direction angle of v? 23°
67°
113°
157°

C) 113°

Step-by-step explanation:

The direction angle for a position vector is plus a correction based on the quadrant (more on that later).

Hence:

We are not done here, however, as we need to account for which quadrant the vector is located in. Since v=⟨-5, 12⟩ is located in Quadrant II, then the direction angle must also be in Quadrant II.

Therefore, we use the formula to account for this:

step-by-step explanation: yes

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation: