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2 years ago

Here are the first five terms of Fibonacci sequence.

Mathematics

1 answer:

Pepsi [2]2 years ago

5 0

Answer:

a- 32,52

b-20+32=52

Step-by-step explanation:

I think there is only one 4

as following 4,8,12,20

4+8=12

8+12=20

20+12=32

20+32=52

52+32=84

84+52=136

136+84=220

136+220=356

so 4,8,12,20,32,52,84,136,220,356

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Draw an equilateral triangle of perimeter 10 centimetres.

3241004551 [841]

Answer:

See attachment for triangle

Step-by-step explanation:

Given

Shape: Equilateral triangle

$Perimeter = 10cm$

Required

Draw the triangle

First, we determine the side lengths.

The perimeter of an equilateral triangle is:

$Perimeter = 3 * Length$

So, we have:

$10= 3 * Length$

Solve for Length

$Length = \frac{10}{3}$

$Length = 3.33$

See attachment for triangle

4 0

2 years ago

Rewrite with only sin x and cos x.

Annette [7]

Option A

$\cos 3 x=\cos x-4 \cos x \sin ^{2} x$

Solution:

Given that we have to rewrite with only sin x and cos x

Given is cos 3x

$cos 3x = cos(x + 2x)$

We know that,

$\cos (a+b)=\cos a \cos b-\sin a \sin b$

Therefore,

$\cos (x+2 x)=\cos x \cos 2 x-\sin x \sin 2 x$ ---- eqn 1

We know that,

$\sin 2 x=2 \sin x \cos x$

$\cos 2 x=\cos ^{2} x-\sin ^{2} x$

Substituting these values in eqn 1

$\cos (x+2 x)=\cos x\left(\cos ^{2} x-\sin ^{2} x\right)-\sin x(2 \sin x \cos x)$ -------- eqn 2

We know that,

$\cos ^{2} x-\sin ^{2} x=1-2 \sin ^{2} x$

Applying this in above eqn 2, we get

$\cos (x+2 x)=\cos x\left(1-2 \sin ^{2} x\right)-\sin x(2 \sin x \cos x)$

$\begin{aligned}&\cos (x+2 x)=\cos x-2 \sin ^{2} x \cos x-2 \sin ^{2} x \cos x\\\\&\cos (x+2 x)=\cos x-4 \sin ^{2} x \cos x\end{aligned}$

$\cos (x+2 x)=\cos x-4 \cos x \sin ^{2} x$

Therefore,

$\cos 3 x=\cos x-4 \cos x \sin ^{2} x$

Option A is correct

7 0

2 years ago

If a#b = a+2b, for integers a and b, what is the value of 3#4?

STatiana [176]

Can u translate to indonesia please.

8 0

2 years ago

The diagrams shows a pair of similar figures one contained in the other name a point and a scale factor for a dilation that move

Ilya [14]

Answer:

idk

Step-by-step explanation:

i would need more information.

6 0

2 years ago

postnew [5]

Answer:

(2)

Step-by-step explanation:

slope:-1/2

y-intercept:1 (because the function passes (0,1))

3 0

2 years ago