Answer:
$102
Step-by-step explanation:
34x3=102
34+34+34=102
There are three people total, each paid 34. Add each person's total to the others, or multiply by three.
The unit rate is 5/1
15/3=5
3/3=1
If you expand out the brackets you get this,
(4+5i)(a+2i) = 4a + (5a)i + 8i - 10
The -10 comes from 5i * 2i.
Squaring i becomes -1.
Let's group the real stuff together,
and imaginary separately,
(4a - 10) + (5a + 8)i
For this to be purely imaginary,
the real part needs to be zero.
Therefore 4a - 10 = 0
Solve for a.
Answer:
Angle B: 28 degrees
Side a: 27.6
Step-by-step explanation:
Angle B:
180-112-40=28
Side a:
sin 28/14 = sin 112/a
a = sin 112(14)/sin 28
a = 27.6