Answer:
2 cis (7/6 pi)
Step-by-step explanation:
r = sqrt( a^2 + b^2)
r = sqrt (-sqrt(3) )^2 + (-1)^2)
= sqrt(3 +1)
= sqrt(4)
= 2
theta = arctan (b/a)
theta = arctan (-1/-sqrt(3))
theta = 30
but this is in the third quardrant -a and -b
so add 180
theta = 210 degrees
convert this to radians
210 * pi/180 = 210/180 * pi = 21/18 * pi = 7/6 * pi
r cis (theta)
2 cis (7/6 pi)
Answer:
Revolution = 127.24 revolutions
Step-by-step explanation:
<em><u>Circumference of the tire = πD</u></em>
Where D = 15 inch
So,
C = 15π = 47.1 inch
<u><em>In feets:</em></u>
47.1 inch = 3.93 feet.
So, <u>one revolution = 3.93 feet</u>
<u><em>Travelling 500 feet will make the following revolutions:</em></u>
Revolution = 500 feet/3.93 feet
Revolution = 127.24 revolutions
Answer: 15
Step-by-step explanation: 5n + 10=10n - 65
-10n -10n
------------------------------
-5n +10 = -65
-10 -10
----------------------------
-5n = -75
divide -5 on both sides and you should get positive 15
Answer: k=3
Step-by-step explanation:
To solve for k, you want to isolate k.
[add both sides by 8]
[multiply both sides by 5/2]
[subtract both sides by 35]
[divide both sides by 5]
Now, we know that k=3.