Cos(17pi/8)
cos(17π/8)
But π radians = 180°
17π/8 radians = (17/8) * 180 = 382.5
But this is more than 360°, so we have the basic angle by subtracting 360°
382.5 - 360 = 22.5
cos(17π/8) = Cos22.5
Recall double angle formula for cos.
cos2θ = 2cos²θ - 1
Therefore
cos(2*22.5) = 2cos²(22.5) - 1
cos45 = 2cos²(22.5) - 1
(√2)/2 = 2cos²(22.5) - 1
2cos²(22.5) - 1 = (√2)/2
2cos²(22.5) = (√2)/2 + 1
2cos²(22.5) = (2 + √2) / 2
cos²(22.5) = (2 + √2) / 4
cos22.5 = √( (2 + √2)/4) ................(note)
cos22.5 = √(2 + √2) / 2
Option (a) seems like the closest, comparing to (note) above.
Answer:
3x^2-2x+3+1/x+2
Step-by-step explanation:
Answer:
x = 11
Step-by-step explanation:
In ΔSTU ,
m∠S = (11x+3)° ; m∠T = (2x+16)° ; m∠U = (x+7)°
According to angle sum property of a triangle , sum of all the interior angles of the triangle is 180°.
So,




Answer:
They can expect to make $524
Step-by-step explanation:
Lets solve the problem
The form of the linear function is f(x) = m x + b, where m is the slope of the line and b is the y-intercept (value f(x) at x = 0)
∵ The student decided to use the points (0.5, 20) and (3, 150)
to make a better regression equation
- She calculated the slope of the line using the two points
∵ 
- She substituted the value of m in the form above
∴ f(x) = 52 x + b
- Than she find that the best value of f(x) at x = 0 is 4
∴ f(x) = 52 x + 4
∵ x represents the number of hours
∵ y represents the money
∵ The family decides to extend the yard sale to be 10 hours long
- That means substitute x by 10 in f(x)
∵ x = 10
∴ f(10) = 52(10) + 4
∴ f(10) = 520 + 4
∴ f(10) = 524
∴ They can expect to make $524
Because you do , you just like cherries ?