The linear equation in slope - intercept form that models the total cistern of the rental over times is
y= 30x + 20
Answer:
Step-by-step explanation:
okay so 40 divided by 159 equals .2515 than you are going to add 159 which gives you 159.2515 and than round that to the nearest 100
Answer:
Two angles are complementary if their measures add up to 90°. In the diagram, ∠ADB and ∠BDC are complementary.
Step-by-step explanation:
This is a right triangle
the missing is the hypotenuse = √(6² + 8² ) = √100 = 10
The correct answer is the second
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