very simple, we use the formula sin(a+b)=sinacosb +
sinbcosa and sin(20)=2sinacosa
5pi = 2pi/3+3pi/3,
First, we use sin(a+b)=sinacosb + sinbcosa
sin(5pi/3)=sin(2pi/3+3pi/3)=
sin(2pi/3+pi)=
sin(2pi/3)cos(pi) +sin(pi)cos(2pi/3)
but we know that sin(pi)=
0, and cos (pi) = -1, so sin(5pi/3)=
- sin(2pi/3)
now, use sin(2a)=2sinacosa,
sin(5pi/3)= - sin(2pi/3)= -2sin(pi/3)cos(pi/3)
sin<span>(5pi/3)=
-2sin(pi/3)cos(pi/3)</span>
<span>sin(pi/3)= 0.86,
cos(pi/3)=0.5, finally we have </span>sin<span>(5pi/3)= -0.86 x 0.5= -0.43</span>
Hello! To solve this question, we can write and solve a proportion. Because we are looking for the whole, which is the total amount of visitors on a Saturday, set the proportion up like this: 144/x = 60/100. This is because we are looking for the total amount of visitors, and we know that 144 is 60% of x number of visitors. Cross multiply the values in order to get 14,400 = 60x. Now, divide each side by 60 to isolate the "x". 14,400/60 is 240. x = 240. The art museum had 240 visitors that Saturday.
1,025 lbs I think that s the answer
