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Thepotemich [5.8K]
3 years ago
9

If the first three Fibonacci numbers are given as

{1} =1" alt="x_{1} =1" align="absmiddle" class="latex-formula">, x_{2}=1 and x_{2} = 2, what is the value of n for which x_{n} + x_{n+1}=55? (see attachment)

Mathematics
2 answers:
vazorg [7]3 years ago
6 0

Answer:

n = 8

Step-by-step explanation:

Continuing the sequence using

x_{n} + x_{n+1}

x₄ = x₂ + x₃ =1 + 2 = 3

x₅ = x₃ + x₄ = 2 + 3 = 5

x₆ = x₄ + x₅ = 3 + 5 = 8

x₇ = x₅ + x₆ = 5 + 8 = 13

x₈ = x₆ + x₇ = 8 + 13 = 21

x₉ = x₇ + x₈ = 13 + 21 = 34

x₁₀ = x₈ + x₉ = 21 + 34 = 55 ← with n = 8

frez [133]3 years ago
5 0

Answer:

The Fibonacci numbers are

1

1

2

3

5

8

13

21

34

55

The eighth Fibonacci Number  is 21, the  ninth  is 34 and the tenth is 55.

So Fibonacci # 8 + Fibonacci Number #9 = Fibonacci# 10

21 + 34 = 55

If you want to read a little bit more about Fibonacci numbers, try this page: http://www.1728.org/fibonacci.htm

that's my website :-)

Step-by-step explanation:

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I need to find x answer choices are<br> a.7.83<br> b.13.59<br> c.6.33<br> d.6.99
Hoochie [10]

Answer:

d. 6.99

Step-by-step explanation:

You have a right triangle with the right angle marked.

The hypotenuse is opposite the right angle and has no length given.

For the 25-deg angle, the side with length 15 is the adjacent leg, and the side with length x is the opposite leg.

The trigonometry ratio that relates the opposite leg to the adjacent leg is the tangent ratio.

\tan A = \dfrac{opp}{adj}

\tan 25^\circ = \dfrac{x}{15}

Solve for x by multiplying both sides by 15.

15 \tan 25^\circ = x

x = 15 \tan 25^\circ

Use a calculator to find the value of x.

x = 6.99

4 0
3 years ago
The triangle below is equilateral. Find the length of side x in simplist radical form with a rational denominator.
Stolb23 [73]

The most appropriate choice for equilateral triangle will be given by

Value of x = \frac{9\sqrt{3}}{2}

What is equilateral triangle?

A closed two dimensional figure with three sides and three angles is called triangle.

Based on sides of triangle, triangle can be classified as equilateral, isosceles and scalene

The triangle whose all sides and all angles are equal is called equilateral triangle. All the angles of equilateral triangle  are 60°

Here,

Since the triangle is equilateral, angle of triangle is 60°

sin 60° = \frac{x}{9}

\frac{\sqrt{3}}{2} = \frac{x}{9}

x = \frac{9\sqrt{3}}{2}

To learn more about equilateral triangle, refer to the link:

brainly.com/question/2351368

#SPJ9

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ikadub [295]
(D)130 is the answer
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lara31 [8.8K]

Answer: 25

Step-by-step explanation: 350=35*10=7*5*5*2=14*5^2

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Elena-2011 [213]
It’s either 2/3 or 11.5 depending on where the d is lol

5 0
3 years ago
Read 2 more answers
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