Complimentary just means that they add to be 90, so you take 90 degrees and subtract the angle you already have in order to get the complementary angle
Answer:
B
7 less than 3 times a number (X) is (3x-7), and then the sum of these two numbers means we have (3x-7)+X, and then we know this equals 109, leaving us with:
(3x-7)+x = 109
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
This is a fraction equal to
7 yards ÷ 4 dresses
We want a unit rate where
<span>1 is in the denominator, </span>
so we divide top and bottom by 4.
7÷4= 1.75
_
4÷4=1.
Therefore, Kate used 1.75 yards per one dress (1.75 yds. p/ d)
Hope I helped! :)
I believe it would be (-2,-2) i may be wrong though i dont have my graphing papers
