Area of sector = PI x r^2 x (angle/360)
area = PI x 10^2 * (45/360)
area = PI x 100 * 45/360
Area = 25/2x PI
Area = 25PI/2
Answer is D
Answer:
All you need to do is make sure the first expression is solved for y (which it is), and then substitute it into the second expression in place of any occurrences of y:
given the second expression:
x - y = 1
We'll replace y with it's value in the first expression:
x - (y) = 1
x - (5 - 2x) = 1
Now we can expand the resulting equation:
x - 5 + 2x = 1
So <em>neither</em> of the answers provided are correct.
You can then solve for x:
x - 5 + 2x = 1
x - 5 + 5 + 2x = 1 + 5
x + 2x = 6
3x = 6
3x/3 = 6/3
x = 2
After that, you can find y by plugging x into either of the two original equations:
y = 5 - 2x
y = 5 - 2(2)
y = 5 - 4
y = 1
The formula for the future value of the account is
A = P(1 + r/n)^(nt)
where you have
A = 19909.20
P = 8975
r = 0.038
t = 21
The resulting equation is not one that can be solved by algebraic means, but we can use a graphing calculator to find n. This graph shows us n = 12, so
the interest compounds monthly.
Answer:
the decimal value for cos x is 1
Substitute the 1st equation in the 2nd, we get:
3x + 2(-3 + 2x) = 2
3x -6 +4x = 2
7x = 8
x = 8/7
Replace x = 8/7 in equation 1,
y = -3 + 2(8/7) = -3 +16/7 = -5/7