Answer:
Step-by-step explanation:
Given the modulus of a complex number |z1| = 6 and its argument θ1 = 70°
If z1 = a+bi, according to definition;
|z1| = √a²+b²
|z1|² = a²+b²
Since |z1| = 6, |z1|² = 6² = 36
a²+b² = 36 .......... 1
Also the argument is derived from the expression
tan θ = b/a
tan 70 = b/a
b/a = 2.75
b = 2.75a ........ 2
Substitute equation 2 into 1
a²+b² = 36
a²+(2.75a)² = 36
a²+7.5625a² = 36
8.5625a² = 36
a² = 36/8.5625
a² = 4.204379
a = √4.204379
a = 2.051 (to nearest thousandth)
Since b = b = 2.75a
b = 2.75(2.051)
b = 5.639 (to nearest thousandth)
z1 = 2.051+5.639i
I’m pretty sure the slope would be, Y=4.67.. I hope you get it right!
Answer:
A bus travels with a constant speed of 48 miles per hour. How long will it take to travel 60 miles?
Step-by-step explanation:
Mostly it's 1.25 hours </3 Since distance = rate times , or d = rt, then we have
t = d/r = 60 miles / 48 mph = 1.25 hours = 1 hour 15 minutes
either 1 hour 15 mins or 1hour and 25 mins.