Answer:
Step-by-step explanation:
<u>Theorem: The diagonals of a kite are perpendicular.</u>
Let O be the point of intersection of the diagonals,
Applying Pythagoras Theorem, in right triangle WOX
Applying Pythagoras Theorem, in right triangle WOZ
The answer is. $1500.
Let x represent the amount invested at 5%, then is the amount invested at 8%, and is the amount invested at 6%. Since the total return is $1270:
let money invested at 5%= x
money invested at 6%
= 20000- (X+X-1500)
21500-2x
Total interest for 1 year.
x×5/100+ (x-1500)×8/100+(21500-2x)×6/100 = 1270
5x/100+8(x-1500)/100+(21500-2x)6/100=1270
5x+8x-12000+129000-12x = 127000
x+117000 = 127000
x = 10000
money invested at 8%
=21500-2×10000
= 1500.
To know more about percentage.
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Answer:
I hope this helps a little bit
Answer:
As a mixed number, 8/3 is equal to 2-2/3.
Step-by-step explanation:
First thing to do is to change the radians to degrees so it's easier to determine our angle and where it lies in the coordinate plane.
. If we sweep out a 210 degree angle, we end up in the third quadrant, with a 30 degree angle. In this quadrant, x and y are both negative, but the hypotenuse, no matter where it is, will never ever be negative. So the side across from the 30 degree reference angle is -1, and the hypotenuse is 2, so the sine of this angle, opposite over hypotenuse, is -1/2