The half angle formula is:
sin x/2 = +/- √ (( 1-cos x ) / 2 )
5π/12 = 5π/6 : 2
sin 5π/12 = +/- √(( 1 - cos ( 5π/6)) / 2 )
cos 5π/6 = cos 150° = -√3/2
≈ 0.966 ( this is sin 5π/12 )
Answer:
C) 846 in^2
Step-by-step explanation:
(15x48) + (21x3x2) = 846
Answer:
17
Step-by-step explanation:
This flight makes a right triangle
The sides are 8 and 15. The hypotenuse isnt know and that is the answer.
8^2 + 15^2 = c^2
c^2 = 289
c = 17
Answer:
Part A is 7/16 of the whole
Part B is 9/16 of the whole
Solution:
Assuming there are no other parts,
the Whole = A + B is the denominator:
Whole = 14 + 18 = 32
Part A = 14 and Part B = 18 are numerators for each fraction.
The fractions are then:
14/32 and 18/32
Meaning:
Part A is 14/32 of the whole
Part B is 18/32 of the whole
Reducing the fractions, it is also true that:
Part A = 7/16 of the whole
Part B = 9/16 of the whole
I believe your answer is the first option, 1/2 ft.
*Volume is expressed by length x width x height.
If we multiply the length 5/7 and the height 1 & 1/2 we get 15/14:
*To multiply fractions you must multiply across, multiply the numerator (or top number) by the numerator and the denominator (bottom number) by the denominator.
- Let's turn 1 & 1/2 into a mixed fraction to make things a little easier. 1 & 1/2 also equivalent to 3/2
-Multiply the numerators together, 5 from the 5/7 and now 3 from the 3/2
(5 x 3 = 15)
-Multiply the denominators together, 7 from the 5/7 and 2 from the 3/2
(7 x 2 = 14)
Therefore, 5/7 x 1 & 1/2 is 15/14.
Now what multiplied by 15/14 equals 15/28?
Well... 1 x 15 = 15. That gives us our numerator, 1.
2 x 14 = 28... and we have our denominator 2.
Putting those two together we get a fraction of 1/2. Your width is then 1/2 ft.
I'm so sorry for all the work here! I know it's a lot. I hope it's not too confusing to look at. Hopefully this helps!
