Answer:
360 miles
Step-by-step explanation:
The unit rate here is (240 miles) / (2 hours), or 120 mph.
In 3 hours the vehicle travels (120 mph)(3 hrs) = 360 miles
Answer:
Well, I kind of know this but I don't wanna be wrong so here and the sides if it helps
1. 2x8x8
2.2x8x8
3. 8x8x10x10
I don't know the options but I guess it would be something like this:
40,000 < x < 50,000
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).
Same as the last one ! Review your parallel lines, and you'll see that angles A and B have to be equal. So you solve it EXACTLY the same way as the last one.
You say "A equals B", and that means that
8x - 10 = 3x + 90
Solve that to find x (it's 20),
and then use x to find angle B (it's 150; they both are).
(Don't just take my word for it. Please work it through.)
