A number with exactly 14 divisors can be of one of the two following forms...
<span>p^6 * q </span>
<span>OR </span>
<span>p^13 </span>
<span>where p and q are prime. </span>
<span>From here it should be obvious that the smallest such number is 2^6 * 3 = 192</span>
Answer:
Correct answer: Third answer y = 7.96
Step-by-step explanation:
By definition of tan we obtain:
6 / y = tan 37° ⇒ y = 6 / tan 37° = 6 / 0.75355 = 7.96
y = 7.96
God is with you!!!
We assume the triangle is a right triangle. In a 30°-60°-90° triangle, the longest side is twice the length of the shortest.
... 4x = 2(√(x/2))
... 2x = √(x/2) . . . . . . divide by 2
... 4x² = x/2 . . . . . . . . square both sides
... 8x² - x = 0 . . . . . . . multiply by 2, subtract x
... x(8x -1) = 0 . . . . . . . factor
... x = 0 . . . or . . . x = 1/8 . . . . . . values of x that make the factors zero
The first case (x=0) is a "degenerate" case and is not useful. The entire triangle is a single point in that case.
The value of x is ...
... x = 1/8
Answer:
(-1, -1)
Step-by-step explanation:
It's the only one that lies on the graph.