Answer:
54.0°
Step-by-step explanation:
We have that:
u=<cos 30°, 4sin30°>
This implies that:
u=<½√3, 2>
Also, v=<3cos 45°, 3sin 45°>
v=<3√2/2, 3√2/2>
u+v=<2.99,4.12)
The direction of u+v, is the angle, it makes with the positive x-axis.
This is given by;
To the nearest tenth, the direction is 54.0°
Answer:
the value of expression is 1\2
Answer:
a. it is arithmentic - this is because for each term there is a constant increase of 4, and the change between each term <u>doesn't change</u>
b. you need to find the nth term, by using the equation difference x n + 0th term: the difference is (+)4 and the 0th term is -9 (-5 is the 1st term, so to go one back we subtract 4 - the inverse operation), so the nth term is 4n -9. Now we do the inverse operation on 119 to see if it's a term (it is a term if it's an integer. So, first we do 119 <u>plus</u> 9 (inverse of - 9) to get 128, then divide it by 4 rather than multiplying. This gives us 32, and that tells us that 119 is the 32nd term of the sequence.
<h2>
Answer: 1/3</h2>
Step-by-step explanation: 30:90 = 10:30 =1:3 = 1/3
