$10,000
is the answer because
25,000 * .15 is equal to 3750. which means we would subtract $3750 every year for five years. leaving us with $10,000.
Use the Pythagorean theorem
<span>the hypotenuse is the ladder which is 20 ft and the base is 12 ft thus </span>
<span>a^2 + b^2 = c^2 </span>
<span>a^2 + 144 = 400 </span>
<span>a^2 = 256 </span>
<span>a = 16 </span>
<span>so its 16 ft</span><span />
By definition of tangent,
tan(<em>x</em>) = sin(<em>x</em>) / cos(<em>x</em>)
so if tan(<em>x</em>) < 0, and we're given cos(<em>x</em>) = -1/4 < 0, then it follows that sin(<em>x</em>) > 0.
Recall the Pythagorean identity:
cos²(<em>x</em>) + sin²(<em>x</em>) = 1 → sin(<em>x</em>) = + √(1 - cos²(<em>x</em>))
Then
sin(<em>x</em>) = √(1 - (-1/4)²) = √(15/16) = √(15)/4
Recall the double angle identity:
sin(2<em>x</em>) = 2 sin(<em>x</em>) cos(<em>x</em>)
Then
sin(2<em>x</em>) = 2 • √(15)/4 • (-1/4) = -2√(15)/16 = -√(15)/8
I believe that the answer would be 0.05857142857
Any integer (not a fraction) that cannot be divided exactly by 2 is an odd integer.
So, we have ( 2k + 1 ) + ( 2k + 3 ) = 264, where 2k + 1 and 2k + 3 are the two consecutive positive odd integers ( k > 0 );
Then, 4k + 4 = 264;
4k = 260;
k = 65;
2k + 1 = 131;
2k + 3 = 133;
The chosen numbers are 131 and 133.
