what is the smallest number of degrees needed to rotate a regular pentagon around its center onto itself

1 answer:

8 0

Since a pentagon has five identical sides, rotating it by (360 degrees/5) will result in the same image. 360/5=72 degrees

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Why must one leg of a triangle that the Pythagorean triple represents need an even-numbered length?

pashok25 [27]

Most of the square numbers are even.so if we need to find root over we need an even number to convert it to perfect square.

See the example below

$\\ \ast\bull\rm\longmapsto H^2=P^2+B^2$

$\\ \ast\bull\rm\longmapsto H^2=3^2+4^2$

$\\ \ast\bull\rm\longmapsto H^2=9+16$

$\\ \ast\bull\rm\longmapsto H^2=25$

$\\ \ast\bull\rm\longmapsto H=\sqrt{25}$

$\\ \ast\bull\rm\longmapsto H=5$

Some other triplets are

(6,8,10)
(5,12,13)
(8,15,17)

6 0

2 years ago

The height of a triangle is 4 times its base. if he are of a triangle is 200cm, what is the height

uranmaximum [27]

A = (h * b) / 2
A = 200
h = 4b

200 = (b(4b) / 2
200 * 2 = b * 4b
400 = 4b^2
400 / 4 = b^2
100 = b^2
sqrt 100 = b
10 = b ..... base is 10 cm

h = 4b
h = 4(10)
h = 40 <=== height is 40 cm

3 0

3 years ago

As a rule of thumb, the sampling distribution of the sample proportion can be approximated by a normal probability distribution

Gennadij [26K]

As a rule of thumb, the sampling distribution of the sample proportion can be approximated by a normal probability distribution whenever the sample size is large.

<h3>What is the Central limit theorem?</h3>

The Central limit theorem says that the normal probability distribution is used to approximate the sampling distribution of the sample proportions and sample means whenever the sample size is large.
Approximation of the distribution occurs when the sample size is greater than or equal to 30 and n(1 - p) ≥ 5.

Thus, as a rule of thumb, the sampling distribution of the sample proportions can be approximated by a normal probability distribution when the sample size is large and each element is selected independently from the same population.