Answer:
W = 17
L = 40
Step-by-step explanation:
To find the perimiter, we add 2L + 2W
So: 2L + 2W = 114
We also know that: L - 6 = 2W
So we can plug in L - 6 into the original equation
2L + L - 6 = 114
Add 6 to both sides
3L = 120
L = 40
Now we can solve for width using any of our equations. I'll use L - 6, because it's the easiest
L - 6 = 2W
40 - 6 = 2W
34 = 2W
17 = W
So
W = 17
L = 40
Answer:
Step-by-step explanation:
given the expression;
cos(2x) = cos(x)
According to trig identity;
cos(2x) = cos(x+x)
cos(2x) = cos x cos x - sinx sinx
cos(2x) = cos²(x)-sin²(x)
cos(2x) = cos²(x)-(1-cos²x)
cos(2x) = cos²(x)+cos²x-1
cos(2x) = 2cos²(x)-1
2cos²(x)-1 = cos(x)
let P = cosx
2P²-1 = P
2P²-P-1 = 0
Factorize;
2P²-2P+P-1 = 0
2P(P-1)+1(P-1) = 0
2P - 1 = 0 and P-1 = 0
P = 1/2 and 1
cosx = 1/2 and cos x = 1
x = arccos 1/2
x = π/3
Also;
x = arccos1
x = 0
Hence the value of x are 0 and π/3
Also the angle = π+ π/3 = 4π/3
The angles are 0, π/3 and 4π/3
Answer:
230%
Step-by-step explanation:
2x3/10=23/10=2.3x100%=230%
110/55 is what u get if u add them all up
The total amount for food and drinks is: $51.26
The 7% tax is: 51.26 * 0.07 = $3.5882
The 20% tip is: 51.26 * 0.2 = $10.252
Your total amount is: 51.26 + 3.5882 + 10.252 = $65.1002 or rounded $65.10
Hope this helped!
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