We know that:
limx→0
sin(x)/x
= 1.
and
cscx = 1/sinx
so,
<span>limx→0 x/sinx = 1</span>
The trick here is to notice that all 3 terms can be div. by 2:
2(x^2 + x - 12)
Note that -12 factors into -3 * 4 or -4 * 3. Thus,
x^2 + x - 12 = (x-4)(x+3), and so <span>2x2 + 2x − 24 = 2(x-4)(x+3).</span>
The value is 5.48 or 5 inches because the parallelograms have equal opposite sides, so therefore the opposite angles are equal too so the
sinx=5.6/10
x=34
then sin34=h/9.8
h=5 inches.
For the answer to the question above,
a1 = 40
<span>a2 = 20 </span>
<span>a3 = 10 </span>
<span>.. </span>
<span>aN = (1/2^N-1) a1 { in general aN= (r^N-1) A1 </span>
<span>a5 = (1/2^4) 40 = 40/16 = 2.5
</span>
So the answer to your question is 2.5
I hope my answer helped you. Feel free to ask more questions. Have a nice day!
Answer:
31 vacuums
Step-by-step explanation:
1800 = 250 + 50v
1800 - 250 = 50v
50v = 1550
v = 1550 / 50
v = 31
He sold 31 vacuums.