Answer:
Solution : 6 + 6i
Step-by-step explanation:
This is the expression we have to solve for. Now normally we could directly apply trivial identities and convert this into standard complex form, but as the expression is too large, it would be easier to convert into trigonometric form first ----- ( 1 )
( Multiply both expressions )
( Simplify for both and )
=
( Substitute )
Now that we have this in trigonometric form, let's convert into standard form by applying the following identities ----- ( 2 )
sin(π / 4) = √2 / 2 = cos(π / 4)
( Substitute )
= =
= =
= - Therefore our solution is option a.
Answer:
24 months
Step-by-step explanation:
The computation of the number of months taken to grow 12 inches is as followS:
Given that
It takes half inches per month
i.e.
0.5 inches ........... 1 month
12 inches .......... ?
So for 12 inches it would take
= 12 inches ÷ 0.5 inches × 1 month
= 24 months
Answer:
1. B, 2. A, 3. A, 4. C, 5. C, 6. A, 7. C,
8. C, 9. A, 10. B&C, 11. D, 12. C, 13. A,
14. C, 15. C, 16. B, 17. C, 18. C. 19. B
Step-by-step explanation:
<h3>
Answer: m = 25</h3>
====================================================
Work Shown:
Triangle ABC is congruent to triangle DEF. The order of the lettering is important because it tells us how the angles pair up. We see that angle B and angle E are the second letters of ABC and DEF respectively. Because the triangles are congruent, this leads to angle B = angle E.
Angle B is shown to be 20 degrees, so,
angle E = angle B
2(m-15) = 20
m-15 = 20/2
m-15 = 10
m = 10+15
m = 25
------------------
A slightly alternative way to solve:
2(m-15) = 20
2m-30 = 20
2m = 20+30
2m = 50
m = 50/2
m = 25
------------------
Checking the answer:
2(m-15) = 20
2(25-15) = 20
2(10) = 20
20 = 20
We get the same thing on both sides, so we end up with a true equation. This means the first equation is true when m = 25. The solution has been confirmed.