tertre

Thank you, CPhill!

Just the answer: \(\sqrt{3}\)

  By scanning the numerator and the denominator, we can see common numbers. So, 3 gets cancels out, 4, 5, 6, up to b, an unknown number. After all these cancelations, we are left with \(\frac{a}{2}=9\). This means that a, is \(9*2=18\). To find b, we look at our previous fractions, noting that the denominator is one less than the numerator, so that leaves us with: \(b=17\).

Thus, the answer is \(18+17=\boxed{35}\).

Ahh, the clock problem!

First, the minute hand crossed 180 degrees(half the clock), and the hour hand crossed 90 degrees and a small portion between 3 and 4.

We know also know that 30 degrees of the hour hand, equals 360 degrees of the minute hand.

Equating our formula, we have \(30^\circ=360^\circ\)

Then, finding the hour hand, by plugging in 180 degrees for the minute hand, we get: \(\frac{30^\circ}{2}=15^\circ\).

The question is asking us to find the distance of the smaller angle. Note that this is not referring to the small hand.

At 3:30, the smaller angle would be: \(60^\circ+15^\circ=\boxed{75^\circ}\) .

The question is asking us to find a percentage, when multiplied by 8 equals 1280. 

So, we can do: \(\frac{x}{100}*8=1280\longrightarrow \frac{8x}{100}=1280\).

Taking 100 to the other side, we have:\(8x=1280*100\longrightarrow 8x=128000\)

Finishing this equation off, we get \(\frac{128000}{8}=\boxed{16,000}\)percent.

Just, tan function, \(\boxed{178}\) feet.

So, the distance in inches on a map, between Tinsel Town and Emerald City is 3.5 inches, and the actual distance is 42 miles.

And, the problem is asking us to find the actual distance between Emerald City and Diamond Bluff, if it's 2.75 inches apart.

 We can first solve for 1 inch, then multiply the result by 2.75 inches, to find how far apart 2.75 inches is in miles(on a map.)

  So, \(3.5n=42m \longrightarrow n=12\)

We have solved for n, but we have to solve for 2.75n, which we can do: \(2.75*12=\boxed{33}\) miles.

Yes, it's 12 by following the steps!

98. There are a total of 59(<45) people, who are bald and not bald.

So, 18/59*100=30.5%(rounded)

Permutations: n!/(n-r)!=\(\frac{223!}{(223-221)!}=\frac{223!}{2!}=3*4*...........*223\)