Answer:
Step-by-step explanation:
Brittany paints the room in x hours, completing 1/x of the room per hour.
Ashley paints the room in x+2 hours, completing 1/(x+2) of the room per hour.
Working together, they complete 1/x + 1/(x+2) = ⅐ of the room per hour.
7(x+2) + 7x = x(x+2)
14x + 15 = x^2 + 2x
x^2 - 12x - 15 = 0
x = [12 ±√(12²+60)]/2= 6±√51
6-√51 is an extraneous solution.
x = 6+√51 ≈ 13.14
Brittany paints the room in 12.14 hours
(See attached graphic)
Years = log (10,000 / 5,538.18) / [2 * log ( 1 + .059 / 2)]
Years =
<span>
log (<span>1.8056473426) / 2 * </span></span> log ( <span><span><span>1.0295
</span>
</span>
</span>
<span>)
Years = </span>0.25663293307 / 2 * 0.012626350954
Years = 0.25663293307 /
<span>
<span>
<span>
0.0252527019
</span>
</span>
</span>
<span><span>
</span>
</span>
Years =
<span>
<span>
<span>
10.1625930598
</span>
</span>
</span>
Answer:
AC = 10sin40°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin40° =
=
, then
sin40° =
( multiply both sides by 10 )
10sin40° = AC
Answer:
The center is at (3, -4), and the radius is 9.
Step-by-step explanation:
x² + y² − 6x = 56 − 8y
Move x and y terms to one side.
x² − 6x + y² + 8y = 56
Complete the squares.
x² − 6x + 9 + y² + 8y + 16 = 56 + 9 + 16
(x − 3)² + (y + 4)² = 81
The center is at (3, -4), and the radius is 9.