Answer:
12 =x
20.78460969=y
Step-by-step explanation:
sin theta = opposite side / hypotenuse
sin 60 = y /24
Multiply each side by 24
24 sin 60 = y/24*24
24 sin 60 =y
20.78460969=y
cos theta = adjacent side / hypotenuse
cos 60 = x /24
Multiply each side by 24
24*cos 60 = x/24*24
24 cos 60=x
12 =x
Answer:
d
Step-by-step explanation:
the slopes (2/3x and -5/4x) are not equal but the y-intercepts (3) are and d is the only one that states that
From 10 to 15 -> 10 increased with half its size (5), that means increase of 50%
From 16 to 12 -> decrease of 4, which is a quarter of 16, that means a decrease of 25%

By the way, Google has a built in calculator. You can just type in "321.5 kmph in mph" and it will come up with this answer.
You could also use the fact that

,
According to the properties of equality, if you have two equal expressions and you change them in the same way, the results wil also be equal.
So that means we can multiply each side by 321.5 and get our answer above.
Answer:
option A
![\left[\begin{array}{ccc}9&-4&-5|9\\7&4&-4|-1\\6&-6&1|-5\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D9%26-4%26-5%7C9%5C%5C7%264%26-4%7C-1%5C%5C6%26-6%261%7C-5%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
Steps to write equations in augmented form
Step 1
Write the coefficients of the x-terms as the numbers down the first column
Step 2
Write the coefficients of the y-terms as the numbers down the second column
Step 3
Write the coefficients of the z-terms as the numbers down the third column
Step 4
Write the constants which are in the end of equation in fourth column