Answer:
E. People once thought animals were individually create by some superior.
But the solid creation of theory of origin of species by the naturalist Charles Darwin demonstrated a different theory.
Step-by-step explanation:
Before Charles Darwin several scientists were discussing the hypothesis of a theory of evolution. But it was Darwin whom put together all the information with reliable explanation and correlation between animal specialization and environment accordyinly with time.
He spent almost five years on board the ship HMS Beagle, crossing several continents, starting with South America. From there, he returned with dozens of specimens of living species, illustrations and fossils. Those specimens helped Darwin in his discoveries which originated the book On the Origin of Species published in 1859.
Answer:
1.178511301978
Step-by-step explanation:
I assume you're just solving for x. Factorize the left side as
3 sin²(x) - 3 sin⁴(x) = 3 sin²(x) (1 - sin²(x)) = 0
Recall that
sin²(x) + cos²(x) = 1
so that the equation further reduces to
3 sin²(x) cos²(x) = 0
Also recall the double angle identity,
sin(2x) = 2 sin(x) cos(x)
which lets us rewrite the equation as
3/2² (2 sin(x) cos(x))² = 3/4 sin²(2x) = 0
Solve for x :
3/4 sin²(2x) = 0
sin²(2x) = 0
sin(2x) = 0
2x = arcsin(0) + 2nπ or 2x = π - arcsin(0) + 2nπ
(where n is any integer)
2x = 2nπ or 2x = (2n + 1) π
x = nπ or x = (2n + 1)/2 π
Notice that this means the solution set is
{…, -2π, -3π/2, -π, -π/2, 0, π/2, π, 3π/2, 3π, …}
so we can condense the solution further to
x = nπ/2
with any integer n.
When the pentagon is drawn to scale then its value of x will be x=3.3 cm
<h3>What is the pentagon?</h3>
The pentagon is defined as the shape having five sides connected together.
Now it is given in the question that
For small pentagone
Bottom =x
left =7 cm
For larger pentagone
Bottom=7cm
left=15cm
Now since the pentagon is actually dilated from its size to the new bigger size. It means that the equivalent ratio of both the pentagons will be equal.
For smaller pentagon
![\rm Equivalent \ Ratio = \dfrac{Bottom}{Left} =\dfrac{x}{7}](https://tex.z-dn.net/?f=%5Crm%20Equivalent%20%5C%20Ratio%20%3D%20%5Cdfrac%7BBottom%7D%7BLeft%7D%20%3D%5Cdfrac%7Bx%7D%7B7%7D)
For bigger pentagon
![\rm Equivalent \ Ratio = \dfrac{Bottom}{Left} =\dfrac{7}{15}](https://tex.z-dn.net/?f=%5Crm%20Equivalent%20%5C%20Ratio%20%3D%20%5Cdfrac%7BBottom%7D%7BLeft%7D%20%3D%5Cdfrac%7B7%7D%7B15%7D)
Since both, the ratio is the same
![\dfrac{x}{7} =\dfrac{7}{15}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7B7%7D%20%3D%5Cdfrac%7B7%7D%7B15%7D)
![x=\dfrac{49}{15} =3.3\ cm](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B49%7D%7B15%7D%20%3D3.3%5C%20cm)
Thus the pentagon is drawn to scale than its value of x will be x=3.3 cm
To know more about Pentagone follow
brainly.com/question/4804571