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Yanka [14]
3 years ago
10

Find the measure of one interior angle for the following regular polygon ​

Mathematics
1 answer:
kipiarov [429]3 years ago
7 0

Answer:

144 degrees

Step-by-step explanation:

We can use the formula (n-2)(180), where n = number of sides, to find the sum of all the interior angles in the decagon. Since a decagon has 10 sides:

(n-2)(180) = ?

(10-2)(180) = ?

(8)(180) = 1440.

Now, to find one interior angle in the decagon, divide 1440 by the number sides in our polygon (10).

1,440/10 = 144

               = <u>144 degrees</u>

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In a group of 42 students, 9 study both Art and Biology.
LUCKY_DIMON [66]
Answer:
The probability the student studies Art and
Biology is 0.2143.
Step-by-step explanation:
Denote the events as follows:
A = a students studies Art
B= a students studies Biology
The information provided is:
N = 42
n (An B) = 9
n (A' n B) = 10
n (A' n B') =7
Then the number of students who study Art
but not Biology is:
n(An B') = N -n (An B) -n (A' nB) - n (A'n B')
= 42 - 10 - 7 - 9
= 16
The number of students who study Art but
not Biology is 16.
Compute the probability the student studies
Art and Biology as follows:
P(ANB)
n(ANB)
= 0.2143
Thus, the probability the student studies Art
and Biology is 0.2143.
3 0
2 years ago
The distance between the school and the airport on a map is 7.25 cm. The scale of the map is 1 cm : 12m. What is the actual dist
SpyIntel [72]

Answer: 87 m


Step-by-step explanation:

This problem can be solved by using a simple ratio and proportion.

The way you figure this out is::

Model = 12 m/ 1 cm = x/7.25 cm

Solve for x and you should receive this answer:

x = 87 m


hope I helped, best wishes to your future studies...

-a


8 0
3 years ago
Which three statements describe how to find the product of 5×10^3
Vedmedyk [2.9K]
5x10x1 electrical and electrical equipment for electrical
7 0
3 years ago
A skull cleaning factory cleans animal skulls of​ deer, buffalo and other types of animals using​ flesh-eating beetles. the fact
Shtirlitz [24]
The solution for this problem is:
The population is 500 times bigger since 8000/24 = 500. The population after t days is computed by:P(t) = P₀·4^(t/49) 
Solve for t: 8000 = 8·4^(t/49) 1000 = 4^(t/49) log₄(1000) = t/49t = 49log₄(1000) ≅ 244 days
8 0
3 years ago
Find the area of the unshaded part of the figure
Tcecarenko [31]
<h3>Answer:</h3>

  unshaded area = 25(4 -π) in^2 ≈ 21.46 in^2

<h3>Step-by-step explanation:</h3>

Each of the shaded circles has a diameter of (20 in)/4 = 5 in, which also is the width of the enclosing rectangle. Then each circle has a radius of 2.5 in, and an area of ...

  A = πr^2 = π(2.5 in)^2 = 6.25π in^2

The four circles together have an area of ...

  4A = 4·(6.25π in^2) = 25π in^2

The area of the rectangle is the product of its length and width:

  A = LW = (20 in)(5 in) = 100 in^2

Since the circles are shaded, the unshaded area is the difference between the rectangle area and the total area of the four circles:

  unshaded area = (100 in^2) - (25π in^2) = 25(4 -π) in^2 ≈ 21.46 in^2

7 0
3 years ago
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