Answer:
4√3
Step-by-step explanation:
This is a right triangle. When two sides are given in a right triangle, we need to use the Pythagorean Theorem to solve for the third side.
Pythagorean Theorem: a² + b² = c²
The a here is 11, while the b is x. The c is always the hypotenuse (the longest side), which is 13.
Now we substitute:
11² + x² = 13²
121 + x² = 169
-121 -121
x² = 48
√x² = √48
x = √48 <-- We can simplify that.
√48 = 12 * 4 = 3 * 4 * 4 = 4√3
Answer:
32.5% Win Rate
Step-by-step explanation:
I got this answer by first:
( 9 ) * x + ( -4 ) * ( 1 - x ) = 0
9x - 4 + 4x = 0
13x = 4
then finally:
13/4 = 3.25 | And to get that into percent you multiply that by 10, giving you a 32.5% win rate. or 325 / 1000. Meaning you will win 325 out of 1000 games you play. Hope this helped!
Answer:
$1207.96
Step-by-step explanation:
The accumulated value for simple interest is defined by the following formula:
FV=PV(1+it)
we have (where x is the present value or PV)
1200= x(1+.05*3)
Solve for x
1200=1.15x
x=1043.478261
We now need to use the equation for annually compounding interest
We have
which rounds to
$1207.96