Answer:
it's 2.because the number 2 can be divided into the numbers 12,16 and 14
evenly.
Hey so if every time the minute hand clicks it turns 13.5 degrees and the question is asking us to find the fraction of a circle it covers in a third of a minute we must divide 13.5 by 3.
1) 13.5 / 3 = 4.5 degrees
Now we must find out what fraction of a circle 4.5 degrees is. If a circle is 360 degrees and the minute hand turns 4.5 degrees every third of a minute then we must divide 4.5 by 360 to get our answer.
2) 4.5/60
Finally let's simplify our answer
3) (4.5 / 60) / 1.5 = 3/40
ANSWER: The fraction of the circle the minute hand covers every third of a minute is 3/40
Answer:
Step-by-step explanation:
The area of the triangle is;
![A=\frac{1}{2}\times[(x+4)\times x] \\24=\frac{x^{2} +4x}{2} \\24\times2=x^{2} +4x\\48=x^{2} +4x\\x^{2} +4x-48=0\\](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5Ctimes%5B%28x%2B4%29%5Ctimes%20x%5D%20%5C%5C24%3D%5Cfrac%7Bx%5E%7B2%7D%20%2B4x%7D%7B2%7D%20%5C%5C24%5Ctimes2%3Dx%5E%7B2%7D%20%2B4x%5C%5C48%3Dx%5E%7B2%7D%20%2B4x%5C%5Cx%5E%7B2%7D%20%2B4x-48%3D0%5C%5C)
This can only be solved by the quadratic formula.
where;
and we get,
