$(3000 x 10) = $30000
Ms Nelson has $30000 in her bank account.
When we connect the ends of the poles and the project the horizontal line from the end of the 10-ft pole to the other pole, we form a right triangle with the legs equal to 12 ft and difference of the lengths of the pole. Using the Pythagorean theorem,
h² = sqrt ((12 ft)² + (15 - 10)²)
h = 13 ft
Thus, the distance between the tops of the poles is equal to 13 ft.
The answer is 75° because all three angles of a triangle must add to 180°
Answer: 19 or 20 $
Step-by-step explanation:
Let x = the shorter leg
2x + 6 is the longer leg
2x + 9 is the hypotenuse
We now do the Pythagorean Theorem of


Multiply out to get:

The

will cancel out each other when you combine like terms to get all the terms on one side of the equal sign.
Combine like terms with the rest to end with

Factor this to get

then set each factor equal to zero.
You end up with two solutions, x = 15 and x = - 3
HOWEVER distance cannot be measure in negatives so that answer will not work so x = 15. Now plug into our given information.
The short leg is 15 cm long.
The longer leg of 2(15) + 6 = 36 cm long
The hypotenuse of 2(15) + 9 = 39 cm long.
You can check your answers by plugging them into the Pythagorean Theorem again.