Answer:
about 2.9° north of east
Step-by-step explanation:
If we orient the directions so north is in the +y direction and east is in the +x direction, the car is traveling 13 km at an angle of -45°, then 16 km at an angle of +40°. We can add these vectors by adding their components in the x- and y-directions.
13(cos(-45°), sin(-45°)) ≈ (9.19239, -9.19239)
16(cos(40°), sin(40°)) ≈ (12.25671, 10.28460)
The sum of these vectors is then ...
= (21.44910, 1.09221)
and the resultant angle is ...
arctan(1.09221/21.44910) ≈ 2.915° . . . . measured north of east
The resultant direction is about 2.9° north of east.
Answer:
89°
Step-by-step explanation:
It is the first of a new study from the University of ÷|gsuj the most of the world the first time in a long time and money on what will happen in a way that would have to be careful about the future of this is to proa vide make be the it
Answer:
Step-by-step explanation:
Set it up as fractions, Alex over Peter.
3/5 : 33/x Let x represent Peter's amount. Now find out: how do you get from 3 to 33? What times 3 equals 33? 11
What you do on the top, you must do on the bottom. If 3 times 11 equals 33, then 5 times 11 equals x. 5 times 11 equals 55, so x equals 55.
Peter will get 55. Don't forget the pound symbol.
Answer:
It will take 4 years
Step-by-step explanation:
The formula of the simple interest is <em>I = Prt</em>, where
- <em>P</em> is the investment
- <em>r</em> is the annual rate in decimal
∵ The investment is $40000
∴ <em>P</em> = 40000
∵ The simple interest is $8000
∴ <em>I </em>= 8000
∵ The rate of interest is 5%
∴ r = 5%
→ Change it to decimal by divide it by 100
∴ <em>r</em> = 5 ÷ 100 = 0.05
→ Substitute them in the formula above
∵ 8000 = 40000 × 0.05 × t
∴ 8000 = 2000t
→ Divide both sides by 2000
∴ 4 = t
∵ t is the time of investment
∴ It will take 4 years
Answer:
C
Step-by-step explanation:
