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aev [14]
2 years ago
14

Find the sum of the interior angles of a regular polygon with 14 sides

Mathematics
1 answer:
alexandr402 [8]2 years ago
4 0

Answer:

2160°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 14, so

sum = 180° × 12 = 2160°

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4, Find a number x such that x = 1 mod 4, x 2 mod 7, and x 5 mod 9.
olchik [2.2K]

4, 7 and 9 are mutually coprime, so you can use the Chinese remainder theorem.

Start with

x=7\cdot9+4\cdot2\cdot9+4\cdot7\cdot5

Taken mod 4, the last two terms vanish and we're left with

x\equiv63\equiv64-1\equiv-1\equiv3\pmod4

We have 3^2\equiv9\equiv1\pmod4, so we can multiply the first term by 3 to guarantee that we end up with 1 mod 4.

x=7\cdot9\cdot3+4\cdot2\cdot9+4\cdot7\cdot5

Taken mod 7, the first and last terms vanish and we're left with

x\equiv72\equiv2\pmod7

which is what we want, so no adjustments needed here.

x=7\cdot9\cdot3+4\cdot2\cdot9+4\cdot7\cdot5

Taken mod 9, the first two terms vanish and we're left with

x\equiv140\equiv5\pmod9

so we don't need to make any adjustments here, and we end up with x=401.

By the Chinese remainder theorem, we find that any x such that

x\equiv401\pmod{4\cdot7\cdot9}\implies x\equiv149\pmod{252}

is a solution to this system, i.e. x=149+252n for any integer n, the smallest and positive of which is 149.

3 0
2 years ago
Ben is the youngest of four children. Bob is 5 years older than Ben, Bridget is twice as old as Bob, and Brian is 3 years younge
zhannawk [14.2K]

Answer:

bob is 7 Brian is 11 and bridget is 14

Step-by-step explanation:

if ben is 2 and bob is 5 years older then him he would be 7 if Brian is 3 years younger then bridget he would be 11 and if bridget is 2 times older than bob she would be 14.

5 0
2 years ago
Find the radius of the circle which has the same area
Neko [114]

Answer:

13 cm

Step-by-step explanation:

We can get the answer in the following way:

4 0
2 years ago
A clothing manufacturer makes 1,500 pairs of jeans. They ship their jeans to stores in packages of 36. How many full packages wi
Crazy boy [7]

Answer:

a) How many full packages will be used to ship the jeans?

41 packages

b) How many jeans are left over?

24 Jeans

Step-by-step explanation:

We are told that a manufacturer: made 1500 Jeans and is shipping them in packages of 36.

Hence, the number of packages of 36 he can send out to stores is calculated as:

1500÷ 36

= 41.666666667

In whole number packages = 41 packages

Hence, 41 full packages would be used to ship the jeans.

The number of Jeans left behind is

1500 - (41 × 36)

= 1500 - 1476

= 24 Jeans

4 0
2 years ago
What is central tendency??
astra-53 [7]
DescriptionIn statistics, a central tendency is a central or typical value for a probability distribution. It may also be called a center or location of the distribution. Colloquially, measures of central tendency are often called averages
6 0
3 years ago
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