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3 years ago

The sum of the measure of the interior angles of a polygon is 1980°. What polygon is it? 10-gon 11-gon 12-gon 13-gon

Mathematics

1 answer:

tiny-mole [99]3 years ago

3 0

Answer:

13-gon

Step-by-step explanation:

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

S = 180° (n − 2)

If S = 1980°, then:

1980° = 180° (n − 2)

11 = n − 2

n = 13

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A 45 foot ladder is leaning against a building. If the bottom of the ladder is 27 feet from the base of the building, how tall i

taurus [48]

Answer:

The height of building to the nearest foot is h = 36 foot

Step-by-step explanation:

We have given,

Length of ladder leaning against a building, l = 45 foot

Bottom length between ladder and the building , b = 27

Now, we need to find the height of building to the nearest foot.

Let the height of building be h.

Using Pythagoras theorem,

$l^{2} = b^{2} +h^{2}$

Here, l = 45 , b = 27 and h =?

So,

$45^{2} = 27^{2} +h^{2}$

h² = 45² - 27²

h = √(45² - 27²)

h = 36

The height of building to the nearest foot is h = 36 foot

8 0

2 years ago

Read 2 more answers

Marshall baked two kinds of cakes. Each cake was the same size. He served 1 half of the marble cake. He served 1 third of the le

Assoli18 [71]

Answer:

He served 3/6 of the lemon cake and 2/6 of the marble cake. He served 1 more piece of the lemon cake than marble cake.

Step-by-step explanation:

A third of 6 is 2 and half of six is 3.

8 0

2 years ago

90% of a number is x . What is 100% of the number? Assume x>0

mariarad [96]

Step-by-step explanation:

Let the required number be n

$\therefore \: \frac{90}{100} \times n = x \\ \\ \therefore \: \frac{9}{10} \\ \\ \therefore \:n = \frac{10}{9} x \\ \\ \therefore 100\% \: of\:n = \frac{10}{9} x \times 100\% \\ \\ = \frac{10}{9} x \times \frac{100}{100} \\ \\ = \frac{10}{9} x \\$

NOTE: A number is always 100% in itself.

3 0

2 years ago

VACATION RENTAL Angelica is comparing vacation prices in Boulder, Colorado, and Sarasota, Florida. In Boulder, she can choose a

Pachacha [2.7K]

The number of outcomes available in Boulder and Sarasota will be 4 and 6. Then the total number of outcomes available in Boulder and Sarasota will be 10.

<h3>What are permutation and combination?</h3>

A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.

Angelica is comparing vacation prices in Boulder, Colorado, and Sarasota, Florida. In Boulder, she can choose a 1- or 2-week stay in a 1- or 2-bedroom suite. In Sarasota, she can choose a 1-, 2-, or 3-week stay in a 2- or 3-bedroom suite, on the beach or not.

The number of outcomes is available in Boulder will be

→ 2 x 2

→ 4

The number of outcomes is available in Sarasota will be

→ 3 x 2

→ 6

The number of outcomes is available in Boulder and Sarasota will be

→ 4 + 6

→ 10

More about the permutation and the combination link is given below.

brainly.com/question/11732255

#SPJ1

4 0

1 year ago

Kasih tau caranya dong

igor_vitrenko [27]

C . 250 cm^2

cause its the same

6 0

3 years ago