Answer:
126 square inches
Step-by-step explanation:
The area of the figure = area of the parallelogram + area of the square + area of the rectangle
✔️Area of the parallelogram = b*h
b = 10 in.
h = 3.5 in.
Area = 10*3.5
Area = 35 in.²
✔️Area of the square = s²
s = 4 in.
Area = 4²
Area = 16 in.²
✔️Area of the rectangle = L*W
L = 12.5 in.
W = 6 in.
Area = 12.5*6
Area = 75 in.²
✅Area of the figure = 35 + 16 + 75
= 126 in.²
Honestly photo math works for everything
I assume you're supposed to establish the identity,
cos(A) cos(2A) cos(4A) = 1/8 sin(8A) / sin(A)
Recall the double angle identity for sine:
sin(2<em>x</em>) = 2 sin(<em>x</em>) cos(<em>x</em>)
Then you have
sin(8A) = 2 sin(4A) cos(4A)
sin(8A) = 4 sin(2A) cos(2A) cos(4A)
sin(8A) = 8 sin(A) cos(A) cos(2A) cos(4A)
==> sin(8A)/(8 sin(A)) = cos(A) cos(2A) cos(4A)
as required.
Answers:
right 1, down 3 (these two answers only)
Step-by-step explanation:
There are two transformations going on. The first of which is the horizontal or x translation (aka shifting) where the 'x' turns into 'x-1'. This moves the xy axis 1 spot to the left, giving the illusion that the graph moves 1 unit to the right.
The "-3" at the end shifts the graph down 3 units. If g(x) = f(x) - 3, then g(x) is the output of f(x) but 3 less than that, which is why it shifts down 3 units.
11. h(3)= 137 is the answer to the equation.
