We can do like we did before, distribute the denominator,
Answer:
x = 9.47 degrees ( in first quadrant.
Step-by-step explanation:
sin2x + sinx cos x = 1/2
Now sinx cos x = 1/2sin2x so:
3/2sin2x = 1/2
sin2x = 1/2 / 3/2
sin2x = 1/2 * 2/3 = 1/3
2x = arcsin 1/3 = 19.47 degrees
x = 9.74 degrees to nearest hundredth.
Answer:
<h3> X=2 and x=4</h3>
Step-by-step explanation:
x+3>0 {or logarithm does'nt have a sense}
-4+3=-1 not >0 so the first two are out
-3+3=0 not >0 so the third also is out
2+3=5>0 and 4+3=7>0, so only the fourth could be the potential answer
Answer:
(x, y) = (3, 5)
Step-by-step explanation:
Solving by elimination here again, there are 2 good options available. Either multiply the whole bottom equation by -1 to cancel the x, or by 2 to cancel the y. I'll do the latter:
Add from top to bottom:
Now, with the value of x, solve for y in either of the equations. I'll choose the second one here:
(x, y) = (3, 5)
Answer:
If we are to make x small rugs, each of which takes 2 hours to dye, then the total time taken to dye the small rugs is 2x. Similarly for the y large rugs which each take 3 hours to dye, the total time for dyeing the large rugs is 3y. Therefore the total for all sizes of rugs is 2x + 3y. Finally, we have a maximum of 60 available hours for the dyeing, so the total time cannot exceed 60, and the final inequality is
2x + 3y < 60
Step-by-step explanation:
