Cos(2x) = cos^2(x) - sin^2(x) - cos(x)
but sin^2(x) = 1 - cos^2(x)
cos(2x) - cos(x) = cos^2(x) - (1 - cos^2(x) ) - cos(x)
cos(2x) - cos(x) = cos^2(x) - 1 + cos^2(x) - cos(x)
cos(2x) - cos(x) = 2cos^2(x) - 1 - cos(x)
cos(2x) - cos(x) = (2cos(x) + 1)(cos(x) - 1)
I think this is what you have asked for.
Answer:
ii
Step-by-step explanation:
i
Answer:
You would draw a sloped line leaning to the right, then make it less steep, then draw a flat line.
Explanation:
The steeper slope represents the dog walking at a normal pace, when the line gets a little less steep it means the dog has slowed down, and when it is flat is where ethe dog took a rest.
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
Let x = length of segment EF.
Assume that
(a) line segments AD, EF, and BC are parallel, and
(b) the vertical distance between AD and EF is equal to the vertical distance between EF and BC.
Then from similarity between geometric shapes, we can write
x=3.2 (nearest tenth)
Answer: B.
3.2
Answer:
864 cubic inches
Step-by-step explanation:
Complete Question
A display case in the shape of a rectangular pyramid has a base that is 12 inches by 9 inches. It is 8 inches tall. What is the volume of the display case?
The volume of a rectangular pyramid =
Area of the base × Height of the pyramid
Base has dimensions = 12 inches by 9 inches.
Area of the base = 108 square inches
Height of the pyramid = 8 inches
Volume of rectangular pyramid =
Area of the base × Height of pyramid
= 108 square inches × 8 inches
= 864 cubic inches
Therefore, the volume of the display case is 864 cubic inches
