Root 3 /sin 20 - 1/cos 20
= (root3 cos 20 - sin 20 )/ (sin 20 cos 20)
(multiplying and dividing by 2)
= 2* (root3/2 cos 20 -1/2 sin 20)/ (sin 20 cos 20)
now sin 20 cos 20 = (2 sin 20 cos 20)/2 = (sin 40)/2
and writing root3/2 = sin 60, 1/2 = cos 60
= 2* (sin 60 cos 20 - cos 60 sin 20)/ (sin 40)/2
= 4* (sin (60-20))/sin 40
= 4* (sin 40)/sin 40
=4
Ask if any doubt in any step :)
70÷6=11.66666667 this is the exact answer
40 is the answer
5 x8 =40
<span><span>3/5(50)
=(3/5)(50/1)
=(3)(50)/(5)(1)
=150/5
=30 </span></span>
Answer:
(-18,9)
Step-by-step explanation (work shown in picture attached):
1) The first step in solving by substitution is to isolate the y-term in one of the equations if it is not already isolated. Isolate y in the first equation by dividing both sides by -2. This leaves us with the equation
2) Now, substitute
for the y in the second equation. Simplify and isolate x. (You can multiply everything by -2 to get rid of the fraction.) This leaves us with x = -18.
3) We've found the x-value of the solution, -18. Now, substitute -18 for x back into one of the original equations (I chose the first one because it was simple) and isolate y. This gives us y = 9. Thus, in point form, the answer is (-18,9).