ANSWER:
There are 30 geese.
STEP-BY-STEP EXPLANATION:
Let y be the total no. of animals
Share= ratio/total ratio X total
50= 5/8 X y
50= 5y/8
50 X 8= 5y
y= 400/5
y= 80
The total no. of animals is 80
80-50=30 ans.
I think it's the third one b/c
the associative property states that it doesn't matter how you group the
numbers in parenthesis in addition.
T=-1
sinA=sin(π/2-3A), A=2nπ+π/2-3A, 4A=2nπ+π/2, A=nπ/2+π/8 where n is an integer.
Also, π-A=2nπ+π/2-3A, 2A=2nπ-π/2, A=nπ-π/4.
The hard way:
cos3A=cos(2A+A)=cos(2A)cosA-sin(2A)sinA.
Let s=sinA and c=cosA, then s²+c²=1.
cos3A=(2c²-1)c-2c(1-c²)=c(4c²-3).
s=c(4c²-3) is the original equation.
Let t=tanA=s/c, then c²=1/(1+t²).
t=4c²-3=4/(1+t²)-3=(4-3-3t²)/(1+t²)=(1-3t²)/(1+t²).
So t+t³=1-3t², t³+3t²+t-1=0=(t+1)(t²+2t-1).
So t=-1 is a solution.
t²+2t-1=0 is a solution, t²+2t+1-1-1=0=(t+1)²-2, so t=-1+√2 and t=-1-√2 are solutions.
Therefore tanA=-1, -1+√2, -1-√2 are the three solutions from which:
A=-π/4, π/8, -3π/8 radians and these values +2πn where n is an integer.
Replacing π by 180° converts the solutions to degrees.
Her ham would cost $3.95
3.29*1.2=3.948, round it up to 3.95
Answer:
15x^2+5x
Step-by-step explanation:
If adding both together, this is your answer.
Hope this helps!
