All categories

3 years ago

Each exterior angle of a regular polygon is 10°. How many sides does it have?

Mathematics

1 answer:

jeka943 years ago

5 0

Answer:

if exterior angle is 10 degrees, then interior angle is 180 -10 = 170 deg.

Each trinaglke inside the polygon will be isosceles with two angles of 170/2 - 85 degrees each.

So, angle at centre = 180 -170 = 10 deg.

Ttal angle at centre = 360 deg.

No of sides = 360 /10 = 36 sided polygon.

b) Sum of interior angles is given by (2N-4) Right angles

So: 9900 = (2N-4)x90 = 180N - 360

180N = 9900 +360 = 10260

N = number of sides = 10260 / 180 = 57 sides

You might be interested in

Reid will be driving through Spain this summer. He did some research and knows that the average price of gas in Spain is approxi

Molodets [167]

Answer:

(a)The amount of fuel in dollars = $1.62

(b)The rate equivalent to in U.S. dollars per gallon = $ 1.45

Step-by-step explanation:

Reid will be driving through Spain this summer. He did some research and knows that the average price of gas in Spain is approximately 1.12 euros per liter.

1 USD = 0.69 euros

We have to find the money that we should pay in order to get the same amount of fuel.

1 euro = $\frac{1}{0.69}$

1 euro = $1.45

So 1.12 euros = 1.12 $\times$ 1.45 = $1.62

(a)The amount of fuel in dollars = $1.62

(b)The rate equivalent to in U.S. dollars per gallon = $ 1.45

5 0

3 years ago

Write 2% as a reduced fraction

ANTONII [103]

2% as a reduced fraction is 2/100 = 1/50

3 0

3 years ago

Read 2 more answers

Need help finding n forgot how to do this

andreyandreev [35.5K]

Answer:

$n = 3\sqrt{2}$

There are two best ways to solve this.

using cosine method:

$cos(n) = \frac{adjacent}{hypotenuse}$

$cos(60) = \frac{adjacent}{6\sqrt{2} }$

$adjacent,n = cos(60) * 6\sqrt{2}$

$n = 3\sqrt{2}$

using sine method:

$sin(n) = \frac{opposite}{hypotenuse}$

$sin(30)= \frac{n}{6\sqrt{2} }$

$n = sin(30) * 6\sqrt{2}$

$n = 3\sqrt{2}$

There are many ways, not to make it complex, these are the best ways to solve for n. Hope it helps ~

5 0

2 years ago

Read 2 more answers

A carpenter bought a piece of wood that was 112 centimeters long. Then he sawed 24.53 centimeters off the end. How long is the p

saul85 [17]

Answer:

87.47 cm

Step-by-step explanation:

112-24.53 is 87.47

8 0

3 years ago

A piece of stained glass in the shape of a right triangle has sides measuring 8 centimeters 15 centimeters and 16 centimeters wh

Wittaler [7]

The answer would be...

a= 59.43 sq. cm

3 0

3 years ago