Answer 6 hours
Reason
7x + 9.50 = 55
-9.50. -9.50 subtract from both sides
_____________
7x = 45.50
Divide both sides by 7 to isolate x
X = 6.5
So he can rent for 6 hours (the .5 would be charged as a full hour per the problem)
The electrical resistance of a wire varies as its length and inversely as the square of the diameter.
R = (k*L)/(d^2)
where k = proportionality constant
Since the two wires have the same material, their proportionality constant is same.
Equating that
(R1*d1^2)/L1 = (R2*d2^2)/L2
Given that R1 = 10 ohms, d1 = 1.2 mm or 0.0012 m, L1 = 18 m, d2 = 1.5 mm or 0.0015 m, L2 = 27 m, and R2 is unknown.
Therefore
[10*(0.0012^2)]/18 = [R2*(0.0015^2)]/27
R2 = 9.6 ohms
Let's say that Stan invested $1500 at 6%. To find how much he invested at 4.5% would be 5000 - 1500 = $3500. Now we have a pattern. Now let's say stan invested x dollars. Even though it is unknown, we can set up how much is left. So subtract x from 5000 or 5000 - x which is C
You have to multiply the 2 numbers together.
0.3 x 0.4
0.12
Answer:
along the direction 68.19° from north.
Step-by-step explanation:
Given,
- speed of the boat, u= 2 miles/hour along north
- speed of the river, v= 5 miles/ hour along east
Since, north and east are perpendicular to each other, so we can write the resultant velocity in vector form as,
Hence, the magnitude of resultant velocity can be written as
Hence, the magnitude of resultant vector is \sqrt{29} moles/hour.
And the direction of the boat can be given by,
= 68.19°
Hence, the resultant velocity of boat is 
miles/hour along the direction making an angle 68.19° with the north.
