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1 year ago

What is the sum of the interior angles of the polygon shown below

Mathematics

1 answer:

DanielleElmas [232]1 year ago

7 0

Answer:

720 degrees.

Step-by-step explanation:

The sum of the interior angles of a convex polygon with n sides is

180(n - 2) degrees.

In this case, n = 6 sides, so the angle sum is

180(6 - 2) = 180(4) = 720 degrees.

The reason this works is that if you draw a diagonal from one vertex to the others (see attached image), you get 2 fewer triangles than the number of sides. Each triangle contains a total of 180 degrees, so the total of all the interior angles is 180(n - 2).

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What is the absolute value of 10?

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Answer:

Step-by-step explanation:

abolute value= distance from zero 10 is 10 away from 0

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1 year ago

At the county fair, 4 employees were paid $8.75 an hour to work a funnel cake stand. The worked for 8 hours at regular pay and t

makvit [3.9K]

Answer:

126.25

Step-by-step explanation:

take 8.75 and multiply by 8 =70

take 8.75+2.50=11.25

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2 years ago

In 2000, an invasive plant species covered 0.2% of an island. for the 5 years that followed, the area covered by the plant tripl

Elden [556K]

Answer:

The statement is correct

see the explanation

Step-by-step explanation:

we know that

The equation of a exponential growth function is equal to

$y=a(1+r)^x$

where

y is the area covered by the plant in percentage

x is the time in years since 2000

r is the rate of change

a is the initial value

In this problem we have

$r=200\%=200/100=2$

$a=0.2\%$

substitute the values

$y=0.2(1+2)^x$

$y=0.2(3)^x$

In the year 2005

$x=2005-2000=5\ years$

substitute the value of x in the exponential function

$y=0.2(3)^5=48.6\%$

48.6% is about 50%

therefore

The statement is correct

5 0

2 years ago

A country in South America exported 62% of the 315,000 bags of coffee beans they produced in a given year. How many bags did the

Arte-miy333 [17]

Answer:

195,300

Step-by-step explanation:

62 percent *315000 =

(62:100)*315000 =

(62*315000):100 =

19530000:100 = 195300

Now we have: 62 percent of 315000 = 195300

Question: What is 62 percent of 315000?

Percentage solution with steps:

Step 1: Our output value is 315000.

Step 2: We represent the unknown value with x.

Step 3: From step 1 above,315000=100%.

Step 4: Similarly, x=62%.

Step 5: This results in a pair of simple equations:

315000=100%(1).

x=62%(2).

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

315000/x = 100/62%

Step 7: Again, the reciprocal of both sides gives

x/315000 = 62/100

x=195300

Therefore, 62% of 315000 is 195300

6 0

1 year ago