Answer:
Step-by-step explanation:
![\displaystyle = \frac{x+7}{x^2+4x-21} \div \frac{x+5}{x^2+8x+15} \\\\Apply \ mid-term \ break\\\\= \frac{x+7}{x^2 +7x-3x-21} \div \frac{x+5}{x^2 +3x+5x+15} \\\\= \frac{x+7}{x(x+7)-3(x+7)} \div \frac{x+5}{x(x+3)+5(x+3)} \\\\Taking \ (x+3) \ and \ (x+7) \ common\\\\= \frac{x+7}{(x-3)(x+7)} \div \frac{x+5}{(x+3)(x+5)} \\\\= \frac{1}{x-3} \div \frac{1}{x+3} \\\\= \frac{1}{x-3} * (x+3)\\\\= \frac{x+3}{x-3} \\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%3D%20%5Cfrac%7Bx%2B7%7D%7Bx%5E2%2B4x-21%7D%20%5Cdiv%20%5Cfrac%7Bx%2B5%7D%7Bx%5E2%2B8x%2B15%7D%20%5C%5C%5C%5CApply%20%5C%20mid-term%20%5C%20break%5C%5C%5C%5C%3D%20%5Cfrac%7Bx%2B7%7D%7Bx%5E2%20%2B7x-3x-21%7D%20%5Cdiv%20%5Cfrac%7Bx%2B5%7D%7Bx%5E2%20%2B3x%2B5x%2B15%7D%20%5C%5C%5C%5C%3D%20%5Cfrac%7Bx%2B7%7D%7Bx%28x%2B7%29-3%28x%2B7%29%7D%20%5Cdiv%20%5Cfrac%7Bx%2B5%7D%7Bx%28x%2B3%29%2B5%28x%2B3%29%7D%20%5C%5C%5C%5CTaking%20%5C%20%28x%2B3%29%20%5C%20and%20%5C%20%28x%2B7%29%20%5C%20common%5C%5C%5C%5C%3D%20%5Cfrac%7Bx%2B7%7D%7B%28x-3%29%28x%2B7%29%7D%20%5Cdiv%20%5Cfrac%7Bx%2B5%7D%7B%28x%2B3%29%28x%2B5%29%7D%20%5C%5C%5C%5C%3D%20%5Cfrac%7B1%7D%7Bx-3%7D%20%5Cdiv%20%5Cfrac%7B1%7D%7Bx%2B3%7D%20%5C%5C%5C%5C%3D%20%5Cfrac%7B1%7D%7Bx-3%7D%20%2A%20%28x%2B3%29%5C%5C%5C%5C%3D%20%5Cfrac%7Bx%2B3%7D%7Bx-3%7D%20%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
Answer:
A=n*2+15n+36
Step-by-step explanation:
Sin(A) / a = Sin(C)/c
Sin(A) = a * Sin(C)/c
Sin(A) = 32 * Sin(30)/16
Sin(A) = 32 * 0.03125
Sin(A) = 1
A = 90°
<span>By the law of sines, angle A must be 90 degrees. That makes side a the hypotenuse of a 30-60-90 triangle. There is only one triangle. The third side is 16</span>√<span>3, and the third angle 60</span>°<span>.</span>
Answer:
2n - 10 = 12
Step-by-step explanation:
the difference of twice a number and 10 is equal to 12
= twice a number minus 10 equal to 12
=> 2n - 10 = 12
I am pretty sure that to find the area of a circle, it’s pi times radius squared.
So in your situation, the formula would be p89 squared. So first, multiply 89 times 89, which equals 7921. You could leave it and say the answer is 7921 pi squared, or you could multiply 7921 by 3.14 (pi rounded), which would get you 24871.94 So the answer would either be:
1.) 7921 pi squared
2.) 24,871.94 feet squared
Hope this helps
