Answer:
13.8 minutes
Step-by-step explanation:
5000/6= 833/60
In order to find the answer of the given problem above, we need to make the solution below:
Given: 2/3 of an hour = practice each day
2/3 of an hour is equivalent to 40 minutes
And per week, there are 7 days. So we will multiply 40 minutes by 7, and the result is 280 minutes. Since there are 60 minutes in an hour, we divide 280 by 60 and we get 4.67 hours. Therefore, each week, you would get 4.67 hours of practice on playing a musical instrument.
Answer:
a) 
b)
c) 
Step-by-step explanation:
a) Let <u>a</u>=<2,1,-3>
The magnitude of <u>a</u> is 

The unit vector in the direction of a is

Using the relation
, we have

b) Let a=2i - 3j + 4k



Using the relation
, we have

c) Let us first find the sum of <1, 2, -3> and <2, 4, 1> to get:
<1+2, 2+4, -3+1>=<3, 6, -2>
Let a=<3, 6, -2>
The magnitude is


The unit vector in the direction of <u>a</u> is

Using the relation
, we have

An arc is a part of the circumference of a circle and the angles that subtend the arcs are proportional to the length of the arc.
So, you basically have two arcs to compare: a 10cm arc and a 60cm arc. But the 60cm arc also happens to be the circumference in this case, so you know that the angle that subtends that arc is 360 degrees (the whole circle). The 10cm arc is 1/6 of the whole circumference so the angle is going to be 1/6 of 360 degrees, which is <span>60 degrees.</span>