If the numbers after the decimal terminate, yes, it's rational.
9.521521521 = 9,521,521,521 / 1,000,000,000
If they don't terminate, but the pattern continues (which I suspect is the case here), yes, it's still rational.
If <em>x</em> = 9.521521521…, then
1000<em>x</em> = 9521.521521521…
Subtract <em>x</em> from this to eliminate the fractional part:
1000<em>x</em> - <em>x</em> = 9521.521521521… - 9.521521521…
999<em>x</em> = 9512
<em>x</em> = 9512/999
If they don't terminate, but the pattern does <em>not</em> continue, meaning the next few digits could be something random like
9.521521521<u>19484929271283583457</u>…
then the number would be irrational.
2,3,5, and 7.
because 7 is one more inch than 1/2 a foot, and the total is 17 so
17-7=10
so you need 3 more numbers and one is even
odd, odd, even
3 + 5 + 2= 10
so
10+7=17
2,3,5,7
To begin with, the amplitude of the sine curve, according to the graph, is 70 at the maximum. So far far what you know is
y = 70 sin(something)
Next a full sine wave occurs after 15 seconds approximately. That means after 15 second, you should get 2*pi. Call the values along the x axis = t
y = 70*sin(t/15 * 2*pi) That should be your full answer. Check it out. Where is the maximum? It is just under 4 seconds. It's an estimation. It's not easy to read, but call it 3.9
y = 70*sin(3.9/15 * 2pi) Multiply 2 * 3.9
y = 70* sin(7.8/15 * pi) Multiply 7.8 * pi: Use 3.14 for pi
y = 70 * sin(24.49/ 15)
y = 70* sin(1.633) Make sure you are in radians for the next step.
y = 70*0.99806 = 69.86 inches. which is pretty close to 70.
If this is homework, be sure and point out that the graph is not really accurate and that the end number on the x axis should be 24 not 22.
y = 70 sin (t/15 * 2pi) <<<< answer.
Pretty sure its 132
Hope this helps!
Find this using the pythagoream theorem for right triangles.
a^2+b^2=c^2
12^2+9^2=c^2
144+81= c^2
225=c^2
15=c
Final answer: c=15
