The answer isn’t a pretty one: 71.428571%
Step-by-step explanation:
First prism:
V= 3/4×1/2×1/4= 3/32 in.
Second prism:
V=1/4×1/4×1/4= 1/64 in.
First prism: 3/32 but with same denominator as the second prism it is 6/64 in.
Second prism: 1/64 in.
( This down below is the difference of two volumes)
First prism-Second prism= 6/64 - 1/64= 5/64
Given:
The expression is 3.8 - 2.923.
To find:
The subtraction.
Solution:
We have,
It can be written as
Now,
3 . 8 0 0
-2 . 9 2 3
-----------------
0 . 8 8 7
-----------------
So, 
Therefore, the value of is 0.887.
Step-by-step explanation:
Consider
⇛cos{(3π/4) + x} - cos{(3π/4) - x}
We know that
cos x - cos y = 2sin{(x+y)/2}sin{(x-y)/2}
By, using this identity, we get
= -2sin[{(3π/4) + x + (3π/4) - x}/2] sin [{(3π/4) + x - (3π/4) + x}/2]
= -2sin[{(3π/4) + (3π/4)}/2] sin {(x + x)/2}
= -2sin[{2*(3π/4)}/2] sin (2x/2)
= -2sin(3π/4) sinx
= -2sin{x-(π/3)} sinx
= -2sin (π/4)sinx
= -2 * (1/√2) * sinx
= -√(2) * √(2) * (1/√2) * sinx
= -√(2) sinx
= RHS.
Hence, the value of cos{(3π/4) + x} - cos{(3π/4) - x} = -√(2) sinx .
Please let me know if you have any other questions.
You make sure the estimate is pretty close to the actual answer
