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blagie [28]
2 years ago
13

1) How do you find the sum of the exterior angle measures of any convex polygon?

Mathematics
1 answer:
skelet666 [1.2K]2 years ago
8 0

Answer:

1) sum of all convex polygons' EXTERIOR ANGLES IS ALWAYS 360 DEGREES. If it is a triangle or even if it is a 25- gon.

2) if the polygon is regular then this means all of the sides are equal and all of the angles are equal to each other.

for example: Find the measure of an exterior angle of a REGULAR HEXAGON. so a regular hexagon has 6 sides all the same length and 6 exterior angles all the same measures. so to find the measure of 1 exterior angle you do 360 degrees /6 = 60 degrees. so an exterior angle of a regular hexagon is 60 degrees.

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kvasek [131]

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Step-by-step explanation:

7 0
3 years ago
5x+3(3x−43)=............
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Consider the spreading of a rumor through a company of 1000 employees, allworking in the same building.We assume that the spread
natima [27]

Answer:

On the 12th day, the rumor would have has to all the 1000 employees

Step-by-step explanation:

Given the data in the question;

so, lets consider the rumor spreading thorough the company of 1000 employee;

the given model is; r_{n+1} = r_{n} + 1000kr_{n} ( 1000 - r_{n} )

where k is the parameter that depends on how fast the rumor spreads, n is the number of days.

now, lets assume k = 0.0001, lets also assume r₀ = 4

so to find how soon all 1000 employees  will have heard the rumor  ;

let n be;

then r1 will be;

r1 = r₀ + ( 0.001)r₀(1000-r₀ )

so

r1 = 4 + ( 0.001) × 4× (1000 - 4 )

r1 = 7.984

r2 will be;

r2 = r1 + ( 0.001)r1(1000-r1 )

r2 =  7.984 + ( 0.001) × 7.984 × (1000 - 7.984 )

r2 = 15.904255744

   

r3  will be;

r3 = r2 + ( 0.001)r2(1000-r2 )  

r3 = 15.904255744 + ( 0.001) × 15.904255744 × (1000 - 15.904255744 )

r3 = 31.555566137

Using the same formula and procedure by substituting n = 1,2,3,4,5,6,7,8,9,10,11,12.

we will have;

n        rₙ

0        4

1        7.984

2       15.904255744

3       31.555566137

4       62.1153785

5       120.372437

6       226.25535

7       401.319217

8       641.58132

9       871.53605

10     983.497013

11      999.727651

12     999.999926

Therefore, On the 12th day, the rumor would have has to all the 1000 employees

 

5 0
3 years ago
Carl worked six and one-half hours on Monday. He worked eight and two-third hours on Tuesday. How many hours did Carl work in al
Gnoma [55]

Answer: 15 hours and 37 minutes


Step-by-step explanation: 6 and 1/2 hours is 6 hours and 30 mins

8 and 2/3 hours is 8 hours and 67 mins


So 8 hours + 6 hours is 14 hours


Since 67 minutes is over an hour, we're going to take 60 minutes from 67, leaving u with 7 minutes


Add the 60 minutes to the 14 hours and you get 15 hours.


Take the 7 minutes and add it to the 30 minutes and you get 37 minutes.


All together the answer is 15 hours and 37 minutes


7 0
3 years ago
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