Each interior angle of a regular n-sided polygon is 150 degrees. How many sides does the polygon have?

Answers

Answer 1
Answer: The sum of the interior angles of the polygon = (n - 2) x 180 .

(n - 2) x 180 = (n x 150)

180n - 360 = 150n

Add 360 to each side:

180n = 150n + 360

Subtract 150n from each side:

30n = 360

Divide each side by 30 :

n = 12

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You are running in a 26-mile race. you have run 17 miles so far. what is the ratio of the miles you have left to the total number of miles in the race?

Answers

The ratio of the miles you have left to the total number of miles in the race will be 9 / 26.

What is a ratio?

A ratio in mathematics shows how many times one number is contained in another. For instance, if a dish of the fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six.

Given that you are running in a 26-mile race. you have run 17 miles so far.

The ratio of the miles you have left to the total number of miles in the race will be calculated as:-

Miles left = 26-17 = 9

Total miles = 26

Ratio = Miles left  / Total miles

Ratio = 9 / 26

Therefore, the ratio of the miles you have left to the total number of miles in the race will be 9 / 26.

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miles left = 26-17 = 9

total miles = 26

So, ratio would be: 9/26

if $6700is invested at 4.6%interest compounded semiannually how much will the investment be worth in 15 years?

Answers

4.6\%\ \ annually\ \ \rightarrow\ \ 2.3\%\ \ semiannually \nsemiannually \ \ \ \ \rightarrow\ \ 30\ times\ the\ interest\ capitalization\n\nSum=\$6700\cdot(1+ (2.3)/(100) )^(30)=\$6700\cdot1.023^(30)\approx\$13253.90

Which is greater 16.45 or 16.454

Answers

16.454 is greater. If you write the full numbers in the thousandths column, 16.45 is 16.450. It can be clearly seen that 16.454 is greater by 4 thousandths.

Factorise fully : 4x^3 +24x^2

Please can someone help me TwT

Answers

9514 1404 393

Answer:

  4x²(x +6)

Step-by-step explanation:

The smallest coefficient, 4, is a factor of the largest, so that will be a common factor. All terms contain x to some power, the least of which is 2, so x² will be a common factor. Factoring those common factors out, we have ...

  = 4x²(x +6)

The factor x+6 cannot be factored further, so this is the full factorization.

Can someone please help me solve x + 0.018 = 9

Answers

subtract .018 from 9 to get the answer

9 - .018 = 8.982
Subtract 0.018 of both sides

x + 0.018 - 0.018 = 9 - 0,018

make de operations

x = 8.982

The distance travelled by Ben and Tim is in the ratio 3 : 4. The distance travelled by Ben is 18 miles. Find the distance travelled by Tim.

Answers

The distance travelled by Tim is 24 miles.

What is Ratio?

Ratio is defined as the relationship between two quantities where it tells how much one quantity is contained in the other.

The ratio of a and b is denoted as a : b.

Given that,

The distance travelled by Ben and Tim is in the ratio 3 : 4.

That is,

Distance travelled by Ben = 3x

Distance travelled by Tim = 4x

Here x is a constant

The distance travelled by Ben is 18 miles.

So, 3x = 18

x = 18 / 3 = 6

So the distance travelled by Tim = 4x = 4 × 6 = 24 miles

Hence the distance travelled by Tim is 24 miles.

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IT NEEDS TO BE EQUAL SO SINCE YOU KNOW 18 DIVIDED BY 3 IS SIX, WE JUST DO 4 TIMES 6 IS 24 AND THERE YOU HAVE IT!