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Alex787 [66]
3 years ago
8

Jacksons Mom limits the amount of time he is allowed to play video games. After Jackson plays for 9 minutes his mom tells him th

at he has used 30% of his time. How many more minutes can Jackson play before he uses all of his time?
Mathematics
2 answers:
harina [27]3 years ago
7 0
30% of what is 9...
0.30x = 9
x = 9 / 0.30
x = 30...so its 30 minutes total time

and she has already used 9....so she has (30 - 9) = 21 minutes left
Nookie1986 [14]3 years ago
6 0
30 minutes is the amount of time he has left
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7 0
3 years ago
Find the first four positive values of arccos(0.7). I know how to get the first, but as for the rest, I am lost.
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Now cos⁻¹(0.7) is about 45.6°, that's on the first quadrant.

keep in mind that the inverse cosine function has a range of [0, 180°], so any angles it will spit out, will be on either the I quadrant where cosine is positive or the II quadrant, where cosine is negative.

however, 45.6° has a twin, she's at the IV quadrant, where cosine is also positive, and that'd be 360° - 45.6°, or 314.4°.

now, those are the first two, but we have been only working on the [0, 360°] range.... but we can simply go around the circle many times over up to 720° or 72000000000° if we so wish, so let's go just one more time around the circle to find the other fellows.

360° + 45.6° is a full circle and 45.6° more, that will give us the other angle, also in the first quadrant, but after a full cycle, at 405.6°.

then to find her twin on the IV quadrant, we simply keep on going, and that'd be at 360° + 360° - 45.6°, 674.4°.

and you can keep on going around the circle, but only four are needed this time only.
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