Answer:
3?
Step-by-step explanation:
im not 100% sure
Answer:
19.6 ft
Step-by-step explanation:
4²+x²=20²
16+x²=400
384 = x²
x = 19.6 ft
We are given the equation <span>an = (n^2/ sqrt(n^3+4n)) and asked to determine if the function is divergent or convergent. In this case, we find the limit of the function as n approaches infinity.
an = </span><span> (n^2/ sqrt(n^3+4n))
lim (n to infinity ) = infinity / infinty: ;indeterminate
Using L'hopitals rule, we derive
</span><span>lim (n to infinity ) = 2 n / 0.5* ( </span><span>n^3+4n) ^-0.5 * (3 n2 +4) : infinity / infinity
again, we derive
</span>lim (n to infinity ) = 2 (0.25) (( n^3+4n) ^-0.5))*(3 n2 +4) / 0.5* ( 6n + 4) :infinity / infinity
<span>
again,
</span>lim (n to infinity ) = 2 (0.25) (6n + 4) / 0.5* ( 6)* 0.5 <span>(( n^3+4n) ^-0.5))</span>
this goes on and the function is divergent
The answer is: "1.44<span>" .
</span>_______________________
Explanation:
_______________________
(1.2)² = (1.2) * (1.2) = 1.44 .
______________________
Answer:
12<x<16
Step-by-step explanation:
if c^2 > a^2 + b^2
then the triangle is obtuse
since 20 is the longest side
20^2 > x^2 + (x+4)^2
simplify
400 > x^2 + (x+4)(x+4)
FOIL
400 > (x^2 ) + (x^2 + 4x+4x+16)
combine like terms
400 > (2x^2 + 8x+16)
divide by 2
400/2 > 2x^2 /2 + 8x/2 + 16/2
200 > x^2 + 4x +8
subtract 200 from each side
0> x^2 + 4x +8-200
0> x^2 +4x-192
Factor
0 > (x-12) ( x+16)
using the zero product property
0> x-12 0 > x+16
12>x -16>x
x must be greater than 12
we know the longest side is 20
x+4 < 20
subtract 4
x< 16
x>12 and x < 16
12<x<16
