<span>3-2(Cosx)^2 - 3Sinx = 0.
Recall (Sinx)^2 + (Cosx)^2 = 1.
Therefore (Cosx)^2 = 1 - (Sinx)^2
Substitute this into the question above.
</span><span>3-2(Cosx)^2 - 3Sinx = 0
3 - 2(1 - (Sinx)^2) - 3Sinx = 0 Expand
3 - 2 + 2(Sinx)^2 - </span><span><span>3Sinx = 0</span>
1 + 2(</span><span>Sinx)^2 - 3Sinx = 0 Rearrange
2(Sinx)^2 </span><span><span>- 3Sinx + </span>1 = 0
Let p = Sinx
2p^2 - 3p + 1 = 0 Factorise the quadratic expression
2p^2 - p - 2p +1 = 0
p(2p -1) - 1(2p -1) = 0
(2p-1)(p -1) = 0
Therefore 2p-1=0 or (p-1) = 0
2p=0+1 or (p-1) = 0
2p=1 or p = 0 +1.
p=1/2 or p = 1 Recall p = Sinx
Therefore Sinx = 1/2 or 1.
For 0<u><</u>x<u><</u>360
Sinx =1/2, x = Sin inverse (1/2) , x = 30,
(180-30)- 2nd Quadrant = 150 deg
Sinx = 1, x = Sin inverse (1) , x = 90
Therefore x = 30,90 & 150 degrees.
Cheers.</span>
If she can ride her bike 3 miles in 24 minutes how far can she ride her bike in 72minutes. So, if we find out how many times 24 goes into 72 (by dividing it) then times the answer by 3 because that’s how many miles she can do in 24 min. That will give you the answer e.g
Sally can ride her bike 4 miles in 12 minutes so how far can she ride her bike in 24 minutes. You do:
_2_. 2x 4 = 8 so she would be able to
12) 24. Do 8 miles I. 24 minutes.
To find the answer divide each money amount by the cost:
3.45/14=<span>0.246428571429
</span>4.35/16=0.271875
3.29/12=0.274166666667
4.25/15=<span>0.283333333333
</span>The pickle jar that has the best deal is 14 oz for $3.45
Hope this helps!
Answer: I think its D
Explanation:I sort of made a coordinate graph
