Answer:
cos210=cos(180+30)=−cos30=−√32 . sin210=sin(180+30)=−sin30=−12 . 3(cos210+isin210) =3(−√32)+3i(−12). −(32)√3−(32)i. My favourite way of seeing that sin30=12 and cos30=√32 is ...
Step-by-step explanation:
But that's what I say personally
Answer:

Step-by-step explanation:
You can use the work they gave you and continue from there:

First, simplify the numerator:

Finally, simplify the denominator:

Answer:
Step-by-step explanation:
Let B be the number of black cars and S the number of silver.
We know that B/S = 7/4
We also know that B - S = 12
Rearrange the first: B = 7S/4
B - S = 12
7S/4 - S = 12
7S - 4S = 48
3S = 48
S = 16
B/S = 7/4
B/16 = 7/4
4B = 112
B = 28
B + S = 44 cars
I can't add the tape diagram here, but show two ribbons (tapes) for each car color and drawn so one can see the relative numbers of each.
Answer:
1.25 inches
Step-by-step explanation:
2.5 x 4 = 10
11.25 - 10 = 1.25
Answer:
Step-by-step explanation:
Cost price of the article = Rs 400
Selling price of the article = Rs 420
As, S.P > C.P
Profit = S.P – C.P
= Rs( 420 – 400)
⠀⠀⠀= Rs 20
So,
Profit percent = (20/400 × 100)%
⠀⠀⠀⠀⠀⠀⠀⠀ = (20/4) %
⠀⠀⠀⠀⠀⠀⠀⠀ = 5 %