Answer:
<u>7</u>
Step-by-step explanation:
The sides are in proportion.
- 35/? = 20/4
- 35/? = 5
- ? = 35/5
- ? = <u>7</u>
Answer: $270
Step-by-step explanation:
1. calculate how much he's getting paid per hour
- 360 / 12 = $30
2. calculate how much he's getting paid for 9 hours
- 30 * 9 = $270
For cos(2x) * (2cos(x) + 1) = 0, use the double angle identity for cos(2x), which is cos^2 x - sin^2 x = cos^2 x - (1-cos^2) = 2cos^2 x - 1.
So we have (2cos^2 x - 1)(2cos x + 1) = 0. So 2cos^2 x -1 = 0 or x = 0 and 2pi.
For 2sec^2 x + tan^2 x - 3 = 0, use the identity sec^2 x = tan^2 x + 1, so we have
2(tan^2 x + 1) + tan^2 x - 3 = 0 or
<span>2tan^2 x + tan^2 x - 1 = 0 or
</span>3 tan^2 x = 1.
So x = pi/2, pi/2 + pi = 3pi/2.
The answer would be 1 liter of milk
