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2 years ago

Find perimeter of regular pentagon is 100 inches. Find the length of each side.

Mathematics

2 answers:

RideAnS [48]2 years ago

8 0

<h2>Answer:</h2>

The length of each side of the polygon is:

20 inches.

<h2>Step-by-step explanation:</h2>

<u>Regular polygon--</u>

It is a polygon which has all the sides of equal length and all the angles of equal measure.

Also the perimeter of the regular polygon is given as the sum of all the sides of the regular polygon.

i.e. the formula for the perimeter is given by:

$Perimeter=ns$

where n is the number of sides in a given polygon and s is the length of each sides of the polygon.

Here we have a polygon as a pentagon.

i.e.

$n=5$

and Perimeter=100 inches

i.e.

$100=5s\\\\i.e.\\\\s=\dfrac{100}{5}\\\\i.e.\\\\s=20\ inches$

Sergio [31]2 years ago

6 0

A regular pentagon is a polygon with five sides of equal length.

The perimeter of a regular polygon is the number of sides (n) multiplied by the length of one side (s).

P=ns
100=5s
s=20

The length of each side is 20 inches

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Use a statistics calculator to find the area, in decimal form, rounded to four places after the decimal, under the (standard) No

Jlenok [28]

Answer:

a) 0.9641.

b) 0.0082

c) 0.0277

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

(a) ...to the left of 1.8.

p-value of Z = 1.8, which, looking at the z-table, is of 0.9641.

(b) ...to the right of 2.4.

1 subtracted by the p-value of Z = 2.4.

Looking at the z-table, Z = 2.4 has a p-value of 0.9918.

1 - 0.9918 = 0.0082, which is the answer.

(c) ...between 1.8 and 2.4.

p-value of Z = 2.4 subtracted by the p-value of Z = 1.8.

From itens a and b, we have both. So

0.9918 - 0.9641 = 0.0277

6 0

3 years ago

Given z=4+3i evaluate z

DerKrebs [107]

Answer:

Step-by-step explanation:

Assuming we want to evaluate |z|, given that, z=4+3i.

Then, by definition of modulus,

$|x + yi| = \sqrt{ {x}^{2} + {y}^{2} }$

$|4+ 3i| = \sqrt{ {4}^{2} + {3}^{2} }$

$|4+ 3i| = \sqrt{ 16+ 9 } \\ |4+ 3i| = \sqrt{25 } \\ |4+ 3i| = 5$

Therefore the modulus be of the given complex number is 5 units

5 0

3 years ago

6a squared - 15a - 8a + 20

Sav [38]

Heya!

Here is your answer:

6a²-15a-8a+20

= 3a(2a-5) -4(2a-5)

= (3a-4)(2a-5)

:)

4 0

2 years ago

Read 2 more answers

diamong [38]

Answer:

what is the answer choices?

8 0

2 years ago

A population of butterflies grows in such a way that each generation is simply 1.5 times the previous generation. There were 350

kap26 [50]

Answer:

378.5 or just 378

Step-by-step explanation:

This is a linear model with x representing the number of generations that's gone by, y is the number of butterflies after x number of generations has gone by, and the 350 represents the number of butterflies initially (before any time has gone by. When x = 0, y = 350 so that's the y-intercept of our equation.)

The form for a linear equation is y = mx + b, where m is the rate of change and b is the y-intercept, the initial amount when x = 0.

Our rate of change is 1.5 and the initial amount of butterflies is 350, so filling in the equation we get a model of y = 1.5x + 350.

If we want y when x = 19, plug 19 in for x and solve for y:

y = 1.5(19) + 350

y = 378.5

Since we can't have .5 of a butterfly we will round down to 378

7 0

3 years ago