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Gala2k [10]
3 years ago
13

A regular hexagon is shown.

Mathematics
2 answers:
babymother [125]3 years ago
6 0

Answer:

14 in.

Step-by-step explanation:

well to start we have to know the relationships between angles, legs and the hypotenuse.

a: adjacent

o: opposite

h: hypotenuse

sin α = o/h

cos α= a/h

tan α = o/a

now as we know that the triangle that is formed has a right angle of 90 degrees, and two other angles that are 30 and 60 degrees.

We can know this by the properties of the hexagons

hexagon is formed by 6 equilateral triangles

equilateral triangles have 3 angles of 60 degrees

the triangle of the image is half of one of those triangles so it will have the upper angle of 30 and the other of 60

Now if we take the angle of 30 degrees and apply the following formula

sin α = o/h

cos 30 = a/h

0.866 = 12/h

h = 12/0.866

h = 13.8564

h = c

the nearest number is 14

slamgirl [31]3 years ago
4 0

Answer:14in on edg.

Step-by-step explanation:

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5. 3x + 5y + 5z =1<br> x - 2y = 5<br> 2x + 4y = 11
lilavasa [31]

Answer:

see explanation

Step-by-step explanation:

Given the 3 equations

3x + 5y + 5z = 1 → (1)

x - 2y = 5 → (2)

2x + 4y = 11 → (3)

Use (2) and (3) to solve for x and y

Multiply (2) by 2

2x - 4y = 10 → (4)

Add (3) and (4) term by term

4x = 21 ( divide both sides by 4 )

x = \frac{21}{4\\}

Substitute this value of x into (3)

2 × \frac{21}{4\\} + 4y = 11

\frac{21}{2\\} + 4y = 11 ( subtract \frac{21}{2\\} from both sides )

4y = \frac{1}{2} ( divide both sides by 4 )

y = \frac{1}{8\\}

Substitute the values of x and y into (1) and solve for z

3 × \frac{21}{4\\} + 5 × \frac{1}{8\\} + 5z = 1

\frac{63}{4} + \frac{5}{8} + 5z = 1

\frac{131}{8} + 5z = 1 ( subtract \frac{131}{8} from both sides )

5z = - \frac{123}{8} ( divide both sides by 5 )

z = - \frac{123}{40}

Solution is

x = \frac{21}{4\\}, y = \frac{1}{8\\}, z = - \frac{123}{40}

3 0
3 years ago
Divide using long division. 6x^3+4x^2+3x+2/ 3x+2
12345 [234]

Answer: 2x² + 1

<u>Explanation:</u>

          <u>  2x²  +  0x  +  1     </u>

3x + 2 ) 6x³ + 4x² + 3x + 2

         - <u>(6x³ + 4x²</u>)    ↓     ↓

                                3x + 2

                             - <u>(3x + 2)</u>

                                        0

5 0
3 years ago
Please help i will give brainliest
zhannawk [14.2K]

Answer:

-4.2, -3.5, -2.1, -1.5, -1, -0.5, 0.5, 3.5, 4.8

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
a researcher creates two random samples, each with sample size of 12. he does not find a statically significant difference betwe
Gre4nikov [31]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
To maximize the probability that customers purchase products during a visit to a​ website, a company that provides marketing ser
Gelneren [198K]

Answer:

A. Diagram attatched

B. 4.7%

C. 0.42

Step-by-step explanation:

A. In order to understand the probability tree, we have to define three different scenarios that could happen when certain customer visits the website:

1. Discount (30%)

2. Free shipping (40%)

3. No special offer, (it must be 30% because all gives a total of 100%)

Then, for each scenario two things could happen, customer makes a purchase or not. Given the information above, each branch of the tree has the specified percentage of occurrence or probability.  

B. Once the probability tree is made, the next step is to multiply the percentages of each consecutive branch. For example:

  • The percentage of customers that visit the website, receive free shipping and make a purchase is 40% x 5 %, as it has been specified in the picture.  

Then, after calculate all percentages of customers that make a purchase, it is necessary to add them to finally get a total of 4.7%.

C. We can understand it as follows:

The customers are divided between three main sets:

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  • Those who were offered with free shipping.
  • Those who received no special offer.

Inside these sets there is the set of costumers who made a purchase, and we have already that percentage, it is 4.7%. However, to determine the asked probability, we have to keep our attention in the intersection between the set of those who were offered with free shipping and those who made a purchase. The percentage of that tiny set over the percentage of customers who made a purchase, is the probability that we must determine:

P ( B│A)=(P(A∩B))/(P(A))=0.02/0.047=0.42

Where A: the costumer made a purchase

            B: the costumer received an offer of free shipping

The probability that a costumer were offered with free shipping given that he made a purchase is 0.42.

7 0
3 years ago
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