<u>Answer</u>:
25) If f(x) = sin ([1/3] x) , find f(π/2).
Substitute with x = π/2
f(π/2) = sin ([1/3] *[π/2]) = sin (π/6) = 1/2
======================================
26) If f(x) = cos (2x) , find f(3π/4).
Substitute with x = 3π/4
f(3π/4) = cos ( 2 * 3π/4) = cos ( 3π/2) = zero.
======================================
27) If f(x) = sin (2x) + cos (3x) , find f(π/4)
Substitute with x = π/4
f(π/4) = sin ( 2 * π/4) + cos ( 3 * π/4) =
= sin ( π/2) + cos ( 3π/4)
= 1 - 1/(√2)
= 0.293
======================================
28) f(x) = tan (5x) - sin (2x) , find f(π/6).
Substitute with x = π/6
So, f(π/6) = tan (5 * π/6) - sin ( 2 * π/6)
= tan (5π/6) - sin (π/3)
= -1/(√3) - (√3)/2
= -1.443
Answer:
Step-by-step explanation:
The 10 on the 8 on the top is you have to count how many tens are they, For example like: 10 x 10 x 10, That's 3 and it's equal too 1000.
Answer:
![-\frac{2s}{y} -\frac{z}{x} +\frac{mx}{p} =k](https://tex.z-dn.net/?f=-%5Cfrac%7B2s%7D%7By%7D%20-%5Cfrac%7Bz%7D%7Bx%7D%20%2B%5Cfrac%7Bmx%7D%7Bp%7D%20%3Dk)
Step-by-step explanation:
- Divide by p
- Subtract the 2 fractions
![-\frac{2s}{y} -\frac{z}{x} +\frac{mx}{p} =k](https://tex.z-dn.net/?f=-%5Cfrac%7B2s%7D%7By%7D%20-%5Cfrac%7Bz%7D%7Bx%7D%20%2B%5Cfrac%7Bmx%7D%7Bp%7D%20%3Dk)
The hours worked would be 7 and 10 minutes.
The perimeter of the rectangle:
2(4y)+2(3y+3) and 146 units.
We have the equation:
![2(4y)+2(3y+3)=146\qquad|\text{use distributive property}\\\\8y+(2)(3y)+(2)(3)=146\\\\8y+6y+6=146\qquad|\text{combine like terms}\\\\14y+6=146\qquad|\text{subtract 6 from both sides}\\\\14y=140\qquad|\text{divide both sides by 14}\\\\y=10\\\\AD=4y\to AD=4(10)=40](https://tex.z-dn.net/?f=2%284y%29%2B2%283y%2B3%29%3D146%5Cqquad%7C%5Ctext%7Buse%20distributive%20property%7D%5C%5C%5C%5C8y%2B%282%29%283y%29%2B%282%29%283%29%3D146%5C%5C%5C%5C8y%2B6y%2B6%3D146%5Cqquad%7C%5Ctext%7Bcombine%20like%20terms%7D%5C%5C%5C%5C14y%2B6%3D146%5Cqquad%7C%5Ctext%7Bsubtract%206%20from%20both%20sides%7D%5C%5C%5C%5C14y%3D140%5Cqquad%7C%5Ctext%7Bdivide%20both%20sides%20by%2014%7D%5C%5C%5C%5Cy%3D10%5C%5C%5C%5CAD%3D4y%5Cto%20AD%3D4%2810%29%3D40)
Answer: AD = 40 units.