After
using a calculator to find sin 21 degrees and rounding it to four decimal places,
I got 0.3584. The correct answer between all the
choices given is the first choice. I am hoping that this answer has satisfied
your query and it will be able to help you in your endeavor, and if you would
like, feel free to ask another question.
Answer:
Step-by-step explanation:
Area= length x width
area=6/7, length=3/5, width=?
6/7=3/5 x width
6/7 divided by 3/5= 6/7 x 5/3 (you have to multiply by the recipricol, or flip the fraction.)
6/7 x 5/3=30/21= 1 3/7=width
Answer:
(3, -2)
Step-by-step explanation:
Find the midpoint coordinates (x, y) of points A(2, - 5) and B(4, 1)
x-coordinate of the midpoint is (2+4)/2 = 6/2= 3
y-coordinate of the midpoint is (-5+1)/2 = -4/2= -2
The mid point coordinates are (3, -2)
Set the whole expression = to 0 and solve for x.
3x^(5/3) - 4x^(7/3) = 0. Factor out x^(5/3): x^(5/3) [3 - 4x^(2/3)] = 0
Then either x^(5/3) = 0, or 3 - 4x^(2/3) = 0.
In the latter case, 4x^(2/3) = 3.
To solve this: mult. both sides by x^(-2/3). Then we have
4x^(2/3)x^(-2/3) = 3x^(-2/3), or 4 = 3x^(-2/3). It'd be easier to work with this if we rewrote it as
4 3
--- = --------------------
1 x^(+2/3)
Then
4
--- = x^(-2/3). Then, x^(2/3) = (3/4), and x = (3/4)^(3/2). According to my 3 calculator, that comes out to x = 0.65 (approx.)
Check this result! subst. 0.65 for x in the given equation. Is the equation then true?
My method here was a bit roundabout, and longer than it should have been. Can you think of a more elegant (and shorter) solution?
A 2500 you want the biggest sample size possible for more accurate results