Three points not all on the same line
<em><u>Answer:</u></em>
Option 1 or 16 + h = 24
<em><u>Step-by-step explanation:</u></em>
Tyrone ate 16 hamburgers today.
Tyrone had 24 hamburgers.
Hamburger = h.
We want to find how much Tyrone had left so:
h = 24 - 16
OR (we can move 16 to the other side)
h + 16 = 24
Option 1 is the answer
Answer:
€113.87
Step-by-step explanation:
Amount = £85.40 * €4/£3 = €113.87.
We know that
2π/3 radians-------> convert to degrees-----> 2*180/3---> 120°
120°=90°+30°
Part a) Find <span>sin(2π/3)
</span>sin(2π/3)=sin (90°+30°)
we know that
sin (A+B)=sin A*cos B+cos A*sin B
so
sin (90°+30°)=sin 90*cos 30+cos 90*sin 30
sin 90=1
cos 30=√3/2
cos 90=0
sin 30=1/2
sin (90°+30°)=1*√3/2+0*1/2-----> √3/2
the answer part a) is
sin(2π/3)=√3/2
Part b) Find cos (2π/3)
cos (2π/3)=cos (90°+30°)
we know that
cos (A+B)=cos A*cos B-sin A*sin B
so
cos (90°+30°)=cos 90*cos 30-sin 90*sin 30
sin 90=1
cos 30=√3/2
cos 90=0
sin 30=1/2
cos (90°+30°)=0*√3/2-1*1/2----> -1/2
the answer part b) is
cos (2π/3)=-1/2
ANSWER
EXPLANATION
We want to simplify the expression,
Let us expand the bracket to obtain,
We now group the complex number parts and real number parts.
We simplify further to obtain,
This is in the form,
where
and
