Answer:
see attached picture please
We have that
<span>sin x=2/9
we know that
sin</span>² x+cos² x=1---------> cos² x=1-sin² x-----> cos² x=1-(2/9)²
cos² x=1-(4/81)------> (81-4)/81-----> 77/81
cos x=√(77/81)
Sin 2x = 2 sin x cos x-------> 2*(2/9)*(√(77/81))----> (4/81)*√77---> 0.43
Sin 2x=0.43
so
cos² 2x=1-sin² 2x---------> 1-[0.43]²-----> 1-[0.1878]----> 0.81
cos² 2x=0.81-----------> cos 2x=0.9
tan 2x=sin 2x/cos 2x--------> tan 2x=0.43/0.9---------> tan 2x=0.48
the answers are
sin 2x=0.43
cos 2x=0.9
tan 2x=0.48
Answer:
=14.69km²
Step-by-step explanation:
We can use the Hero's formula to calculate the area
A= √(s(s-a)(s-b)(s-c))
s is obtained by adding the lengths of the three sides of the triangle and then dividing by 2, a, b and c are the ides of the triangle.
S=(5+6+7)/2
=9
A=√(9(9-6)(9-5)(9-7))
=√(9×3×4×2)
=√216
=14.69km²
Answer:
The correct answer is Pete saves $2.10 by buying bulbs in packages of 3 for $6.39 each.
Step-by-step explanation:
Pete can buy daffodil bulbs in packages of 3 for $6.39 or in packages of 2 for $4.40.
He needs to buy 30 bulbs at a better price.
Money spent by buying bulbs in packs of 3 = 10 × 6.39 = $63.90.
Money spent by buying bulbs in packs of 2 = 15 × 4.40 = $66.
Money saved if bought in packs of 3 = 66 - 63.90 = $ 2.10.
Thus Pete should buy 30 daffodil bulbs in packages of 3 and save $2.10.
To subtract vectors, subtract the x coordinates together. Do the same for the y coordinates as well.
In terms of a formula if we had the vectors u and v such that
u = <a,b>
v = <c,d>
then
u - v = <a-c, b-d>
Let's use that to get...
u - v = <6,-9> - <1,-4>
u - v = <6-1,-9-(-4)>
u - v = <6-1,-9+4>
u - v =
<5,-5>----------------------
Answer: A) <5,-5>
