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2 years ago

the exterior angle of a regular polygon is one third the size of its interior angle. how many sides does the polygon have

Mathematics

1 answer:

Aloiza [94]2 years ago

7 0

Answer:

8 sides

Step-by-step explanation:

let x be the exterior angle then 3x is the interior angle

interior angle + exterior angle = 180° , then

x + 3x = 180

4x = 180 ( divide both sides by 4 )

x = 45

the sum of the exterior angles of a polygon = 360°

since the polygon is regular with each exterior angle = 45°, then

number of sides = 360° ÷ 45° = 8

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const2013 [10]

The answer is square pyramid hope this helps

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3 years ago

Read 2 more answers

Marjorie and Blaine make chairs together. Marjorie builds the seat and Blaine independently sews the cushions to rest on top of

Andrew [12]

Making 10 chairs would take Marjorie and Blaine 21 hours and 40 minutes.

<h3>How long does it take to make 10 chairs?</h3>

The total time it takes Marjorie and Blaine to perform their respective tasks in building a chair is multiplied by 10 chairs, respectively. This time is known as their speed.

The resulting figures are summed to get the total time.

<h3>Data and Calculations:</h3>

The total time it takes Marjorie to build a chair is 15 hours (1.5 hours x 10)

The total time it takes Baline to sew cushions per chair is 400 minutes (40 x 10) or 6 hours and 40 minutes.

Therefore, the total time to build 10 chairs is 21 hours, 40 minutes (15 hours + 6 hours and 40 minutes).

Thus, making 10 chairs would take Marjorie and Blaine 21 hours and 40 minutes.

Learn more about the time consumed at brainly.com/question/17146782

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8 0

2 years ago

A map of a park says its scale is 1 to 100. What does that mean?

Alex777 [14]

A scale is a term that refers to the representative fraction for comparing the original length and image length of a given object. It means implies that every 1 unit on the drawing is equal to 100 units on the park.

A scale is a term that can be referred to as the representative fraction that compares the original length and image length of a given object. Types of scale include enlarged scale, reduced scale, and real scale.

Enlarged scale is a scale that is used when the size of a given object is to be increased.
Reduced scale is used when the size of a given object is to be decreased.
Real scale implies the exact size of a given object.

Scale can be expressed as;

Scale = $\frac{length on drawing}{original length}$

Thus a scale has no unit.

Therefore, the given question implies that every 1 unit on the drawing is equal to 100 units on the original park. Thus it is a reduced scale.

For more clarifications on a scale drawing, visit: brainly.com/question/23209981

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6 0

1 year ago

How do you simplify the expression (s+t)3

bonufazy [111]

Answer:

3s + 3t

Step-by-step explanation:

To simplify this expression, all you need to do is distribute the 3, which means you basically multiply whatever is in the parentheses by 3:

(s + t) * 3 =

3s + 3t

And that is the simplified form for this expression.

Hope this helps :)

6 0

3 years ago

The first and third terms in the following Fibonacci sequence are x and y.

Dahasolnce [82]

Answer:

<h3>The second term of the sequence is y-x</h3><h3>The fourth term of the sequence is 2y-x</h3><h3>The fifth term of the sequence is 3y-x</h3>

Step-by-step explanation:

The next term of a Fibonacci sequence is generated by taking the sum of the 2 preceding value of the sequence. Given the the first and third term of a Fibonacci sequence to be x and y

x, _, y...

let the second term be a, fourth term be b and fifth term be c to have the sequence;

x, a, y, b, c...

According to the definition;

x+a = y... 1

a+y = b... 2 and;

y+b = c... 3

From equation 1, a = y-x

Substituting a = y-x into equation 2 to get b we have;

(y-x)+y = b

2y-x = b

b = 2y-x

Substituting b = 2y-x into equation 3 to get 'c'

y + 2y-x = c

3y-x = c

c = 3y-x

The second term of the sequence is y-x

The fourth term of the sequence is 2y-x

The fifth term of the sequence is 3y-x

8 0

3 years ago