<span>(X^2+6)(4x-3)
</span><span>=<span><span>(<span><span>x2</span>+6</span>)</span><span>(<span><span>4x</span>+<span>−3</span></span>)</span></span></span><span>=<span><span><span><span><span>(<span>x2</span>)</span><span>(<span>4x</span>)</span></span>+<span><span>(<span>x2</span>)</span><span>(<span>−3</span>)</span></span></span>+<span><span>(6)</span><span>(<span>4x</span>)</span></span></span>+<span><span>(6)</span><span>(<span>−3</span><span>)
</span></span></span></span></span>4x3−3x2+24x−18 is the answer
Arc length is the angle/360 times circumference. The diameter of the unit circle is 2. So the circumference of the unit circle is 2pi, if you use 3.14 for pi, then the circumference is 6.28. So your equation is
x/360 times 6.28=4.2, divide by 6.28, then multiply by 360
x=240.76432
Your answer rounded to the nearest thousanth is 240.764
Since we don't want to use the Pythagorean Theorem on all of these, first we look for some Pythagorean Triples. Its very helpful to know some of the common ones, so here's a list:
3, 4, 5
5, 12, 13
7, 24, 25
8, 15, 17
So we either look for these or a multiple of these numbers.
The last one is the only one that fits because 15, 20, 25 is a multiple of the triple 3, 4, 5 by multiplying all of them by 5.
Thus, 15, 20, 25 forms a right triangle.
Answer: $88.80
Step-by-step explanation:
26% = .26
120 * .26 = 31.2
120 - 31.2 = 88.8
