The answer is 54.27. Hope I was halpful
Step-by-step explanation:
LHS=(1-sin60)/cos60
=(1-√3÷2)/1÷2
=2(1-√3÷2)
=2-√3
RHS=(1-tan30)/(1+tan30)
={1-(1÷√3)}/{1+(1÷√3)}
={(√3-1)/√3}/{(√3+1)/√3}
=(√3-1)/(√3+1)
={(√3-1)(√3-1)}/{(√3+1)(√3-1)}
=(3-√3-√3+1)/(3-1)
=(4-2√3)/2
=2-√3
Therefore LHS=RHS
There a 4 quarts in 1 gallon, so he will fill and empty the container 20 times.
Answer:
4
Step-by-step explanation:
The vertex formula of a quadratic equation is:
●y= a(x-h)^2 +k
(h,k) are the coordinates of the vertex
Here: h = -5 and k= -2
y is 2 and x is -4
● 2 = a (-4-(-5))^2 + (-2)
● 2 = a (-4+5)^2 -2
● 2 = a *1^2 -2
● 2 = a -2
● 4 = a
14/12=1 and 2/12= 1 and 1/6
31/10= 3 and 1/10
