Answer:
See below.
Step-by-step explanation:
Fifth root of 243 = 3,
Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),
then r^5( cos Ф + i sin Ф )^5 = 243(cos 240 + i sin 240).
Equating equal parts and using de Moivre's theorem:
r^5 =243 and cos 5Ф + i sin 5Ф = cos 240 + i sin 240
r = 3 and 5Ф = 240 +360p so Ф = 48 + 72p
So Ф = 48, 120, 192, 264, 336 for 48 ≤ Ф < 360
So there are 5 distinct solutions given by:
3(cos 48 + i sin 48),
3(cos 120 + i sin 120),
3(cos 192 + i sin 192),
3(cos 264 + i sin 264),
3(cos 336 + i sin 336).. (Answer).
Answer:
HJ = 5.20
HI = 3
angle J = 30 degrees
Step-by-step explanation:
sin 60 = HJ/6
HJ = 5.20
cos 60 = HI/6
HI = 3
angle J = 90-60 = 30 degrees
Answer:
The most likely reason for the bill being this amount would be the registration fee.
Step-by-step explanation:
The most likely reason for the bill being this amount would be the registration fee.
Let x be the number of months
Let y be the monthly payment
Then according to the given situation we can model a function which is:
y=45x+15
put x = 1 for the first month
y=45(1)+15
y=45+15
y=60
Thus the reason for the bill being this amount would be registration fee....
Answer:
r = 13
Step-by-step explanation:
As the vertically opposite angles are equal,
8r + 6 = 9r - 7
<u>Now you can find the value of r.</u>
8r - 9r = -6 - 7
-r = -13
r = 13
Hope this helps you :-)
Let me know if you have any other questions :-)
Answer:
I think it's <em>TRUE</em>
<em>Since</em><em> </em><em>they're</em><em> </em><em>congruent</em><em> </em><em>triangles</em><em> </em><em>according</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>given</em><em>.</em><em> </em>
