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2 years ago

7. What is the ratio of the interior angles of a pentagon and a decagon?

Mathematics

2 answers:

Julli [10]2 years ago

7 0

Answer:

A pentagon has 5 sides.

Sum of the interior angles = ( n - 2) x 180

Sum of the interior angles = ( 5 - 2) x 180

Sum of the interior angles = 540°

STEP 2: Find one interior angle:

one interior angle = 540 ÷ 5 = 108°

STEP 3: Find the sum of interior angles of a decagon

A decagon has 10 sides

Sum of the interior angles = ( n - 2) x 180

Sum of the interior angles = ( 10 - 2) x 180

Sum of the interior angles = 1440°

STEP 4: Find one interior angle:

one interior angle = 1440 ÷ 10 = 144°

STEP 5: Find the ratio:

Pentagon : Decagon = 108 : 144

Simplify:

Pentagon : Decagon = 3 : 4

Answer: The ratio is 3 : 4

nalin [4]2 years ago

7 0

The sum of the interior angles of the pentagon is 3 * 180. the sum of the interior angles of the decagon is 8 * 180. the ratio of the sum of the interior angles of a pentagon to the sum of the interior angles of a decagon is (3 * 180) / (8 * 180). this results in 3/8.

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Answer:

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3 years ago

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11111nata11111 [884]

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3 years ago

A population of 50 timber wolves was introduced into a forest in 2009. The population is expected to grow by the function p(t)=5

Viktor [21]

Answer:

the population in 2015 is 8201.0695

Step-by-step explanation:

Given that

There is a population of the 50 timber wolves

And, the exponential function given is

p(t) = 50 × e^(0.85 × t)

Here t denotes the time period i.e.

= 2015 - 2009

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= 50 × e^(0.85 × 6)

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3 years ago

PLEASE HELP! If 2580 people watched one show and 2920 people watched another show. How many people need to watch the third show

kolezko [41]

Answer:

3480

Step-by-step explanation:

Set it up so it looks like this.

(2580 + 2930 + x )/3 = 3000 Combine the terms on the left

(5510 + x) / 3 = 3000 Multiply by 3

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x = 9000 - 5510

x = 3490

Does that really work?

2580 + 2930 + 3490 = 9000

Which says it does work.

5 0

3 years ago

Read 2 more answers

Sophia has $2 to buy oranges and apples. Oranges cost $0.45 each and apples cost $0.25 each. How many oranges and apples can she

SOVA2 [1]

Answer:

The solution in the attached figure

Step-by-step explanation:

Let

x-----> the number of oranges

y-----> the number of apples

we know that

The inequality that represent this situation is

$0.45x+0.25y\leq 2$

The solution is the shaded area below the solid line between the positive whole numbers values of x and y

using a graphing tool

see the attached figure

3 0

3 years ago

7. What is the ratio of the interior angles of a pentagon and a decagon?​

7. What is the ratio of the interior angles of a pentagon and a decagon?