The answer is 30
2 * 15 = 30
5 * 6 = 30
30 is between 24 and 34
Hi , the answer for this riddle is "she was practicing for a moonshot".
Answer:
Rational, because it is a fraction.
Step-by-step explanation:
A number which can be represented in the form of p/q where p belongs to integers and q belongs to natural numbers.
=34/3=11.3333
Since 34 and 3 do not have any common factor other than 1, it is a rational number. The numerator p=34 belongs to integers and the denominator q=3 belongs to natural numbers. Also, the decimal expansion is a non-terminating decimal since it does not end.
The solution to the problem is as follows:
let y = asinx + bcosx
<span>
dy/dx = acosx - bsinx </span>
<span>
= 0 for max/min </span>
<span>
bsinx = acosx </span>
<span>
sinx/cosx = a/b </span>
<span>
tanx = a/b </span>
<span>
then the hypotenuse of the corresponding right-angled triangle is √(a^2 + b^2) </span>
<span>the max/min of y occurs when tanx = a/b </span>
<span>
then sinx = a/√(a^2 + b^2) and cosx = b/√(a^2 + b^2) </span>
<span>
y = a( a/√(a^2 + b^2)) + b( b/√(a^2 + b^2)) </span>
<span>
= (a^2 + b^2)/√(a^2 + b^2) </span>
<span>
= √(a^2 + b^2)</span>
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