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3 years ago

The sum of the interior angles of a polygon is 8280°. How many sides does the polygon have?

Mathematics

2 answers:

Ksivusya [100]3 years ago

7 0

The side will = to 48

devlian [24]3 years ago

4 0

The equation to find the sum of interior angles of a n-sided polygon is:

(n - 2) * 180

So, we don't know what n is but we can make it look like this:

(n - 2) * 180 = 8,280

Solve for n.

(n - 2) * 180 = 8,280

~Divide 180 to both sides

(n - 2) * 180/180 = 8,280/180

~Simplify

n - 2 = 46

~Add 2 to both sides

n - 2 + 2 = 46 + 2

~Simplify

n = 48

Therefore, the polygon has 48 sides.

Best of Luck!

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The leaning tower of niles is 94 feet high and makes an angle of 85.5 degrees from the ground to the top of the tower. If you dr

Brut [27]

Answer:

Distance of the keys on ground from the base of the tower = 7.38 ft

Step-by-step explanation:

Given:

Height of tower = 94 ft

Tower is leaning and makes an angle of 85.5 degrees from the ground.

Keys are dropped from the top of the tower.

To find the distance of the keys on ground from the base of the tower.

From the data given to us we can construct a right triangle ABC.

For the Δ ABC

AB= 94 ft

∠A= 85.5°

We can apply trigonometric ratio to find side BC which is the distance of the keys on ground from the base of the tower.

Using cosine ratio: $\cos\theta=\frac{Adjacent\ side}{Hypotenuse}$

In Δ ABC

$\cos85.5\°=\frac{AC}{AB}$

Multiplying both sides by AB.

$AB\cos 85.5\°=\frac{AC}{AB}\times AB$

$AB\cos 85.5\°=AC$

$AC=AB\cos 85.5\°$

Substituting value of AB and cos 85.5°

$AC=94\cos 85.5\°$

∴ $AC=7.38\ ft$

Distance of the keys on ground from the base of the tower = 7.38 ft

7 0

3 years ago

Choose the operation. In one week, Ty bought gas on Monday, Tuesday, and Saturday. How many days did Ty not buy gas during that

Masja [62]

Answer:

Subtraction.

Step-by-step explanation:

There are seven days in a week. Subtract, (take away) the amount of days Ty bought gasoline, and you now have the answer.

He did not buy gasoline on four days of the week.

- Hope this helps, good luck.

4 0

3 years ago

Read 2 more answers

Josh is hiking Glacier National Park. He has now hiked a total of 17 km and is 2 km short of being 1/2 half of the way done his

katovenus [111]

What is the question? If it is how long is the total hike, then 17+2=19 (that’s half way).

19x2 =38. 38k is the total round trip of the hike.

4 0

3 years ago

Read 2 more answers

Select all equations that can represent the question: "How many groups of 45 are in 1?" A ?⋅1=45? Times 1 is equal to 4 fifths B

Aleonysh [2.5K]

This question is not correctly written.

Complete Question

Select all equations that can represent the question: "How many groups of 4/5 are in 1?" A ?⋅1=4/5? Times 1 is equal to 4 fifths B 1⋅4/5=?1 times 4 fifths is equal to ? C 4/5÷1=?4 fifths divided by 1 is equal to ? D ?⋅4/5=1? Times 4 fifths is equal to 1 E 1÷4/5=?1 divided by 4 fifths is equal to ?

Answer:

D ?⋅4/5=1 = ? Times 4 fifths is equal to

E 1÷4/5=? = 1 divided by 4 fifths is equal to

Step-by-step explanation:

How many groups of 4/5 are in 1?

The operation used to solve this is that Division operation.

Hence, we solve it by saying:

1 ÷ 4/5 = ?

= 1× 5/4 = ?

5/4 = ?

Cross Multiply

5 = 4 × ?

? = 5/4

The equations that can represent the question: is

Option D ?⋅4/5=1 = ? Times 4 fifths is equal to

Option E 1÷4/5=? = 1 divided by 4 fifths is equal to

7 0

2 years ago

Help please!!

bazaltina [42]

Answer: Part A = (100% - 80%)P = 35, Part B = 140

Step-by-step explanation:

Percentage: Like + Don't like = 100%

80% + Don't like = 100%

-80% -80%

Don't like = 20%

People: 20% of Patrons = Don't Like

0.20 x Patrons = 35

÷ 0.20 ÷ 0.20

Patrons = 175

Now, let's write the equation we used to get that answer:

Let P represent the total number of patrons, then the equation is:

(100% - 80%)P = 35

= (1.00 - 0.80)P = 35

= 0.20P = 35

= P = 175

Part B:

80% of Patrons = Like

0.80 x 175 = Like

140 = Like

6 0

3 years ago