Answer:
x = 85°
Step-by-step explanation:
As noticed this is a Pentagon (5 sided polygon); therefore to find x, first we have to find the sum of it's interior angles;
Sum of interior angles of a pentagon = (n - 2) * 180°
=> Sum of interior angles of a pentagon = (5 - 2) * 180°
=> Sum of interior angles of a pentagon = 3 * 180
=> Sum of interior angles of a pentagon = 540
Now that we know the sum of interior angles, we can set up the equation and solve for x;
115 + 95 + 115 + 130 + x = 540
455 + x = 540
x = 540 - 455
x = 85
Hope this helps!
Answer: 1 1/8
Step-by-step explanation:
8/9
=9/8
=1 1/8
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
The answer is 3.4 because 30 can’t be divided equally into 9, reason being that 9 x 30 = 270 which doesn’t make sense, so you have to divide 30 equally into 9 parts then turn it into a ratio.
Answer:
the whole page????
Step-by-step explanation:
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