Answer:
205
Step-by-step explanation:
1] Square; Rectangle; Quadrilateral.
2] All rectangles are Quadrilaterals.
3] Arrange four equal length sides, so the diagonals are equal length also.
4] As per the Isosceles trapezoid.
Base angles are equal to each other and upper both angles are equal to each other too.
So,
20x+9 = 14x+15
20x-14x = 15-9
6x = 6
x = 1°
K = M = 29°
Sum of all angles of quadrilateral equal to 360°.
360-(29+29) = 360-58 = 302°
Sum of upper both equal angles is 302°.
One of them will be 302/2 = 151°
Answer will be 151°.
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:
9 - 5x = 7
Step-by-step explanation:
Nine (9) less (-) then the product (*) of 5*x, equals (=) to 7
9 - 5x = 7
