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
Let x be a variable.
Using the ratio and the given number of 117, we can create the following formula:
1x + 3x + 9x = 117, where 3x is the cups of onion
Simplify this equation.
13x = 117
Divide both sides by 13
x = 9
We want to solve for 3x, so multiply both sides by 3
3x = 27
As I started earlier, 3x is how many cups of onions is needed; thus, 27 is our answer. Hope this helps! :)
Answer:
The dimensions of the rectangular volleyball court are 60 ft x 30 ft
Step-by-step explanation:
Let
x ----> the length of rectangular volleyball court
y ---> the width of the rectangular volleyball court
we know that
The area of the rectangular volleyball court is equal to
so
----> equation A
-----> equation B
substitute equation B in equation A
Solve for y
Simplify
take square root both sides
<em>Find the value of x</em>
substitute the value of y
therefore
The dimensions of the rectangular volleyball court are 60 ft x 30 ft
Answer:
Option B. of the bag.
Step-by-step explanation:
Eight friends ate of a bag of chips in the same amount.
We have to find the quantity that each person ate the chips.
Each friend ate = ÷ 8
= ×
=
Therefore, each friend ate of the bag of chips.
Option B is the answer.
+,-,=,>,<, and many more, lol i gave more than one :P
