The true statement about why the Fibonacci sequence is recursively defined is (c) The Fibonacci sequence is recursively-defined because you must know the values of the two previous terms in order to find the value of the next term
<h3>How to determine the true statement</h3>
With an exception to the first two terms, each term of the Fibonacci sequence is the sum of the two previous terms
This means that,
The Fibonacci sequence cannot be defined explicitly, because the two previous terms can not be determined by a direct formula
Hence, the true statement about why the Fibonacci sequence is recursively defined is (c)
Read more about the Fibonacci sequence at:
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Answer:
x = 76.9
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp side / adj side
tan 70 = x/28
28 tan 70 = x
x=76.92936
Rounding to the nearest tenth
x = 76.9
Answer:
No (1,5) is not a solution
Step-by-step explanation:
if you try to solve this equation with the (1,5), you lay it out like 5 = 1/4 * 1 - 7. It turns into 5 = 1/4 - 7, because 1 times anything is that same number. Then you have to add 7 to both sides so that it cancels out on the right and you get 12 on the left. So you end up with the equation 12 = 1/4. This equation is not true, so therefore (1,5) is not a solution. Hope this helps :)
Answer:
10 in
Step-by-step explanation:
So we want to consider the surface area of this sphere.
The formula for surface area of a sphere is
.
So we have that the surface area is
.
So I'm going to replace
in
with
.

Now our main objective here is to solve for
:
Divide both sides by
:

This gets us
by itself:

What number squared gives you 25? If you don't know, just take the square root of both sides giving you:

Now you can just put
in your calculator. You should get 5.
5 is the radius
The diameter is twice the radius.
So 2(5) is 10, so the diameter is 10 in.