NEED HELP ASAP ON THIS QUESTION

Someone please help I don’t understand this please

sdas [7]

The fraction of the image in blue with respect to the entire hexagon is $\frac{1}{3}$ .

<h3>Estimation of the ratio of the shaded region area to the entire area</h3>

Initially we proceed to create auxiliar constructions , represented by red line segments, to re-define the hexagon as a sum of standard figures. According to the figure, we find two types of triangles (type-1 and type-2), and the following relationship between the two types:

$A_{1} = A_{2}$ (1)

Where:

$A_{1}$ - Area of a type-1 triangle.
$A_{2}$ - Area of a type-2 triangle.

The formulae for the area of the shaded region ( $A_{s}$ ) and the entire hexagon ( $A_{h}$ ) are, respectively:

<h3>Shaded region</h3>

$A_{s} = 2\cdot A_{1} + 4\cdot A_{2}$ (2)

<h3>Entire hexagon</h3>

$A_{h} = 8\cdot A_{1} + 10\cdot A_{2}$ (3)

And the fraction of the image in blue is:

$\frac{A_{s}}{A_{h}} = \frac{2\cdot A_{1}+4\cdot A_{2}}{8\cdot A_{1}+10\cdot A_{2}}$

$\frac{A_{s}}{A_{h}} = \frac{6\cdot A}{18\cdot A}$

$\frac{A_{s}}{A_{h}} = \frac{1}{3}$

The fraction of the image in blue with respect to the entire hexagon is $\frac{1}{3}$ . $\blacksquare$

To learn more on hexagons, we kindly invite to check this verified question: brainly.com/question/4083236

6 0

3 years ago

A bookbook can be classified as either non dash fictionnon-fiction or fictionfiction. Suppose that 9494% of booksbooks are clas

DIA [1.3K]

Answer:

a) 0.8836

b) 0.7339

c) 0.2342

Step-by-step explanation:

Books classified as fiction = 94% or 0.94 probability

Books classified as non-fiction = 1 - 0.94 = 0.06

a) for two books, we get: 0.94 * 0.94 = 0.8836 Probability

b) The probability that all five books are fiction is: 0.94^5

This equals 0.7339 Probability

c) Probability that one books is non-fiction, while the other 4 are fiction is determined in the following way:

Probability of non-fiction * probability of fiction^(number of books)

0.06 * 0.94^4 = 0.0468

This does not account for the order at which the non-fiction book shows up. Such as the non-fiction book being the first book picked, or in another case - the non-fiction book being the last picked.

Since there are 5 ways this could occur, the total probability will be calculated as shown: 0.0468 * 5 = 0.2342 Probability

3 0

4 years ago

I NEED THE ANSWER ASAP!! (its for a project)

irina1246 [14]

Answer:

Its a i just took the test

Step-by-step explanation:

8 0

3 years ago

Help as soon as possible pleaseee

KiRa [710]

Answer:

(3x + 2)(x-4)

Step-by-step explanation:

3x² - 10x - 8 = 0

(splitting the middle term)

3x² -12x + 2x -8 = 0

3x(x-4) + 2(x-4) = 0

(3x + 2)(x-4) = 0

(3x + 2)(x-4) is the correct answer (option a)

3 0

3 years ago

Read 2 more answers

Find the sum of the first 9 terms in the following geometric series. 64+32+16+

Dafna11 [192]

Answer:

The sum of the first 9 terms in the geometric series is 127.75

Step-by-step explanation:

In the geometric series, there is a constant ratio between each two consecutive numbers

Examples:

5, 10, 20, 40, 80, ………………………. (×2)

5000, 1000, 200, 40, …………………………(÷5)

General term (nth term) of a Geometric series is

a1 = a, a2 = ar, a3 = ar², a4 = ar³, ..........

$an=ar^{n-1}$ , where

a is the first term

r is the constant ratio between each two consecutive terms

The sum of the first n terms of a Geometric series is calculated by this rule

$Sn=\frac{a(1-r^{n})}{1-r}$

Let us solve the question

∵ The geometric series is 64, 32, 16, .......................

∴ a = 64

∴ r = 32 ÷ 64 = 0.5

→ We need to find the sum of the first 9 terms

∴ n = 9

→ Substitute these values on the formula of the sum above

∴ $S9=\frac{64(1-0.5^{9})}{1-0.5}$

→ use the calculator to find the answer

∴ S9 = 127.75

∴ The sum of the first 9 terms in the geometric series is 127.75

7 0

3 years ago