To solve this problem, you must follow the proccedure that is shown below:
1. You need to apply the formula for calculate the perimeter of a circle, which is:
P=2πr
P is the perimeter of the circle (P=9.42 feet).
r is the radius of the circle.
2. Now, you must clear the radius "r" from P=2πr, as below:
P=2πr
r=P/2π
3. When you substitute the values, you obtain:
r=P/2π
r=9.42 feet/2π
r=1.49 feet
4. Now, you can calculate the diameter (D):
D=2r
D=2(1.49 feet)
D=2.98 feet
<span>
What's the diameter of the wheel?
The answer is: </span><span>2.98 feet</span>
Answer:
103.32
Step-by-step explanation:
May way to answer a question like this
84(1+23/100)
Lets break it down:
Step 1. 23/100=0.23
Step2. 0.23+1=1.23
Step3. 1.23 x 84=103.32
I hope this helps You
Answer:
V = 268.08 in^3
Step-by-step explanation:
that answer was for the first question. I do not know the second one I'm very sorry
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