Answer:
{0, 150} degrees
Step-by-step explanation:
Given 2cos^2x-cost-1=0, let's simplify this problem by temporarily replacing cos x with y:
2y^2 - y -1 = 0
This can be solved by factoring: (2y + 1)(y - 1) = 0. From this we get two solutions: y = -1/2 and y = 1.
Remembering that we let y = cos x, we now solve:
cos x = -1/2 and cos x = 1.
Note that cos x = 1 when x = 0 and the "adjacent side" coincides with the hypotenuse.
cos x = -1/2 when the hypotenuse is 2 and the "adjacent side" is -1. This has two solutions between 0 and 360 degrees: 150 degrees and 270 degrees.
Four answer choices are given. Both (a) (0 degrees) and (b) (150 degrees) satisfy the original equation. Thus, the solution set is {0, 150} (degrees).
Answer:
Step-by-step explanation:
3 ounces of water per cup of flour
18=p+d+n, 3p=d, 2n=d
The lowest number that is divisible by 3&2 is 6 so, there is 6 nickels.
There is 6 nickels and there is half of that in dimes, 3 dimes.
There is three times the amount of pennies of dimes. 3*3=9. There is 9 pennies.
6 nickels + 3 dimes + 9 pennies= 18 coins
Answer:
Henry after 2 months: 250
His brother after 2 months: 220
Step-by-step explanation:
Henry started with $200 so add $25 twice (for 2 months) and get $250 dollars after 2 months.
His brother started with $150 so add $35 twice and get $220 dollars after 2 months
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