z= r(cosθ+i sinθ) is the required polar form where, r = √41 and θ =π- 
Step-by-step explanation:
Given,
-4+5i is a complex number.
To find the polar form.
Formula
z=x+iy
r² = mod of (x²+y²)
θ = 
So, the polar form will be z=r(cosθ+i sinθ)
Now,
r² =(-4)²+5² = 41
or, r = √41
θ =π-
[ since the point is in second quadrant]
Hence,
z= r(cosθ+i sinθ) is the required polar form where, r = √41 and θ =π- 
Answer:
Step-by-step explanation:
She will have -650
200
- 850
-650
Answer:
294
Step-by-step explanation:
One side is 7×7 which is 49.
There are six sides so now it's 49×6, which gives you 294.
Step-by-step explanation:
Total cards that deck contains= 5+4+2+1=12 ( as mentioned in question)
So,
1. Probability of getting blue card is 1/12
2. Probability of getting a red card is 2/12=1/6
hope it helps
Answer:
$75
Step-by-step explanation:
If they have a total of w dollars to buy 5 tickets, and each ticket costs 15 dollars, $15 x 5 tickets = $75.