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3 years ago

If the interior angle of a polygon is 170 how many sides does it have

Mathematics

1 answer:

Tpy6a [65]3 years ago

6 0

if interior angle is 170, subtract 170 from 180 to find exterior angle:

180-170 = 10 = exterior angle

the sum of exterior angles is 360 so divide by exterior angle to find sides:

360 /10 = 36 sides

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You are planning to email to two lists. the first list has 1,200 names. the second list has 900 names. there are 150 names that

Snezhnost [94]

Answer: There are 1800 unique names from both the lists.

Explanation:

Since we have given that

there are two lists :

In First list, number of names = 1200

In Second list, number of names = 900

According to question , we have also given that

there are 150 names that appear on both lists,

So,

Number of unique names in the first list is given by

$1200-150=1050$

Number of unique names in the second list is given by

$900-150=750$

Therefore, total number of unique names is given by

$1050+750=1800$

Hence, there are 1800 unique names from both the lists.

3 0

3 years ago

Read 2 more answers

A King in ancient times agreed to reward the inventor of chess with one grain of wheat on the first of the 64 squares of a chess

maxonik [38]

Answer:

Total weight of the wheat placed on 45th square will be = $1.26\times 10^{6}tons$

Step-by-step explanation:

King rewarded the inventor of chess by giving grain of wheat on every square of the chess board. He places one grain of wheat on first square, 2 on second, 4 on 3rd, 8 on 4th and so on.

In fact he places grains of wheat in a progression S = 1, 2, 4, 8, 16.........n terms where value of n is 64.

We can rewrite the progression as S = 2°, 2, 2², 2³,.........n terms (n = 64)

In a geometric progression we know the nth term = $a(r^{n-1})$

where a = first term of the series, r = common ratio, n = number of terms

Now we have to calculate the weight of all wheat placed on 45th square.

So we will put the values in the given formula 45th term =

$1\times (2^{45-1})$ = $2^{44}$ = $1.76\times 10^{13}$

Then the weight of wheat will be = $2.51\times 10^{9}pounds$ = $1.26\times 10^{6}tons$

7 0

3 years ago

What is the volume of the volume of the following rectangular prism

Alborosie

The answer is 2/3 or 0.66666...

4 0

3 years ago

How would I solve 7r=-7/2? I know the answer is -1/2 I just don't understand how to get -1/2 as my answer.

Art [367]

7r=-7/2

divide both sides by 7 to get r by itself

(7r)/(7) = (-7/2)/(7)

if you don't quite see it, think of multiplying both sides by 1/7 instead (its the same thing as dividing by 7)

(7r)*(1/7)=(-7/2)*(1/7)

r=-1/2

7 0

3 years ago

The coordinates of the image of line segment RT are R'(-2,-4) and T'(4.4). The image was produced by a dilation with a scale fac

Daniel [21]

Given the coordinates of the image of line segment RT to be R'(-2,-4) and T'(4.4), if the image produced was dilated by a scale factor of 12 centered at the origin, to get the coordinate of the end point, we will simply multiply the x and y coordinates of by the factor of 12 as shown:

For R' with coordinate R'(-2,-4), the coordinates of endpoint of the pre-image will be:

R = 12R'

R = 12(-2, -4)

R = (-24, -48)

For T' with coordinate T'(4,4), the coordinates of endpoint of the pre-imagee will be:

T = 12T'

T = 12(4, 4)

T = (48, 48)

Hence the coordinate of the endpoint of the preimage will be at R(-24, -48) and T(48, 48)

6 0

1 year ago