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Marizza181 [45]
3 years ago
10

Need help to Find the apothem.​

Mathematics
1 answer:
EleoNora [17]3 years ago
4 0

The apothem of a polygon, in this case a, can be found using the formula

Apothem=circumradius*cos(pi/sides)

Note in this problem, its a hexagon which makes the circumradius = to the side length since a regular hexagon can be split into 6 equilateral triangles.

a=47*cos(pi/6)=40.7 (approximation)

Hope it helped!

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The volume of a right triangular prism is 72 cubic feet. The height of the prism is 9 feet. The triangular base is an isosceles
Mariulka [41]

Answer:

Step-by-step explanation:

volume = area of base * height = area of base * 9 = 72

-> area of base = 72/9 = 8

let a,b,c be the length of sides of isosceles right triangle base

we have a = b and a*b/2 = 8 ft2

-> a*a/2 = 8ft2

-> a*a = 16

-> a=4ft=b

have c^2 = a^2 + b^2 = 16 +16 = 32

-> c = \sqrt{32} = 5.656 ft

Since i dont know that is DF, i calculate both a,b and c

3 0
3 years ago
Read 2 more answers
Please help, ill give brainliest, only if its right
alexira [117]

Answer:

it would be in the fourth quadrant, directly underneath where it is now. the base would be c and d

5 0
3 years ago
An advertising campaign is canceled before launch with probability 0.10, in which case the marketing company is fired with proba
Feliz [49]

Answer:

0.2231 (22.31%)

Step-by-step explanation:

defining the event F = the marketing company is fired, then the probability of being fired is:

P(F)= probability that the advertising campaign is cancelled before lunch * probability that marking department is fired given that the advertising campaign was cancelled before lunch + probability that the advertising campaign is launched but cancelled early  * probability that marking department is fired given that the advertising campaign is launched but cancelled early        ....   (for all the 4 posible scenarios where the marketing department is fired)

thus

P(F) =0.10 * 0.74 + 0.18 * 0.43 + 0.43 * 0.16 + 0.29*0.01 = 0.2231 (22.31%)

then the probability that the marketing department is fired is  0.2231 (22.31%)

7 0
3 years ago
A jar contains 45 red candies and 60 black candies. Suppose a candy is selected at random. What are the odds against selecting a
uysha [10]

Answer:

3:4.

Step-by-step explanation:

To work this out we need to find the highest multiple of 45 and 60.

15 is the largest number that goes into both of them so what we are going to do now is divide both number by 15.

45 divided by 15 = 3

60 divided by 15 = 4

Therefore the odds of selecting a red candy is 3:4.

Hope that helps. x

7 0
2 years ago
You are going to roll two dice. Let the variable x = the sum of the numbers rolled. What is the probability that x = 9 ?
Vladimir79 [104]

The  first cube can land in any one of  6  ways.
The  second cube can land in any one of  6  ways.
Total number of ways that  2 dice can land = (6 x 6) = 36 ways.

For any of these ways, the sum of the numbers rolled is  9 :

3, 6
4, 5
5, 4
6, 3

There are  4  ways to roll a 9, out of a total of  36  ways that
the dice can land.  So the probability of rolling a  9  is

       4 / 36  =  1 / 9  =  <em>11-1/9 percent</em>


7 0
3 years ago
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