Answer:
9:30 am
Step-by-step explanation:
- Add 30 minutes + 30 minutes to get 60 minutes, which is one hour.
- Add 1 hour to 1 hour and 45 minutes to get 2 hours and 45 minutes.
- Subtract 2 hours from 12:15 pm, to get 10:15.
- That'll leave you with just 45 minutes left. To make it easier than subtract 45 minutes from 10:15, subtract 15 minutes from 10:15, to end up at 10:00 am.
- 45 minutes - 15 minutes = 30 minutes, so then you subract 30 minutes from 10:00 am, and you end up at 9:30 am, which is your final answer
Answer:
Yes
Step-by-step explanation:
32 divided by 45 = .7111111111111111111
Answer:
32 and a half
Step-by-step explanation:
Natural numbers are always rational numbers,
Rational numbers can be defined as numbers that can be represented as a ratio of two integers. All natural numbers can be represented as a ratio because theycan be over one. For example, 3/1 or 19838645752641/1.
Answer:
Proven . We get a true statement of 1 = 1 by transforming the expression on the left side to make it look like the right side. See below.
Step-by-step explanation:
This is missing some notation: Sin^4x+2cos^2x-cos^4=1
We want to prove : (Sin x ) ^ 4 + 2 (cos x)^2 - (cos x)^4 = 1
Replace the (cos x)^4 with ((cos x)^2)^2 same with the (sin x)^4 with
((sin x)^2)^2
(Sin x ) ^ 4 + 2 (cos x)^2 - (cos x)^4 = 1
( ((sin x)^2) ^2 - ( (cos x)^2)^2 + 2 (cos x)^2 + 1 - 1 = 1
Factor the trinomial -((cos x)^2)^2 + 2 (cos x)^2 + 1 .
considering ((cos x)^2) is the variable
( ((sin x)^2) ^2 - ( (cos x)^2)^2 + 2 (cos x)^2 - 1 + 1 = 1
( ((sin x)^2) ^2 + [- ( (cos x)^2)^2 + 2 (cos x)^2 - 1 ] + 1 = 1
( ((sin x)^2) ^2 - [ ( (cos x)^2) - 1 ]^2 + 1 = 1
But also notice that (sin x)^2 = 1 - (cos x)^2 from the trig identity:
(sin x)^2 + (cos x)^2 = 1
( (1 - (cos x)^2) ^2 - [ ( (cos x)^2) - 1 ]^2 + 1 = 1
here we see that (1 - (cos x)^2) ^2 = [ ( (cos x)^2) - 1 ]^2
so we get ( 0 + 1) = 1
1 = 1 true.
Proven . We are done proving this identity because we get a true statement.
