Answer:
22) 119
24) 15
Step-by-step explanation:
22) 61 + b = 180 <-- supplementary because on the same line
b = 119 <-- subtracted 61 from both sides
24) 87 + (6x + 3) = 180 <-- supplementary because on the same line
87 + 6x + 3 = 180 <-- take out parantheses
90 + 6x = 180 <-- add like terms
6x = 90 <-- subtracted 90 from both sides
x = 15 <-- solve for x by dividing 6 from both sides
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:
I think it is 1.5 or 1/2
Step-by-step explanation:
Answer: 875
Step-by-step explanation:
You can set up proportions so it’s like: 1/350=2.5/x and then solve for x
Answer: 8.8
Step-by-step explanation: 27.632 divided by 3.14 = 8.8
THIS PROBABLY WRONG BUT HOPE THIS HELPS :D
