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navik [9.2K]
3 years ago
9

In ΔLMN, l = 810 cm, m = 620 cm and ∠N=166°. Find the length of n, to the nearest centimeter.

Mathematics
1 answer:
slava [35]3 years ago
4 0

Answer: 1420

Step-by-step explanation:

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Consider the enlargement of the pentagon.
musickatia [10]

"Enlargement" here implies that the two pentagons are similar.  Because of similarity, the following equation of ratios must be true:  7/15 = x/7.  Then 15x=49, and x = 49/15 = 3.27 cm, approximately.

Rounded to the nearest tenth, that comes to 3.3 cm.

5 0
3 years ago
The population of a town increases at a rate of 5% every year. The population of this town was 10,400 in 2017. What will the pop
galben [10]

Answer:

The population of the town in 2020  will approx. be 12,039.

Step-by-step explanation:

The initial population in the year 2017 = 10,400

Increase in population every yea r  =  5%

Now, 5% of 10, 400 = \frac{5}{100} \times 10, 400 = 520

Hence, the population in the year 2018 = 10,400 + 520 = 10,920

Now, in the year 2019

5% of 10, 920 = \frac{5}{100} \times 10, 920 = 546

Hence, the population in the year 2019 = 10,920 + 546 = 11,466

Now, in the year 2020

5% of 11,466 = \frac{5}{100} \times 11,466 = 573.3

or, the population in the year 2020 = 11,466  + 573.3 = 12,039.3

The population of the town in 2020  will approx. be 12,039.

6 0
3 years ago
Which statement best describes Inflation?
Leto [7]

Answer:

A

Step-by-step explanation:

Inflation decreases the amount of goods and services that can be purchased with a dollar.

7 0
2 years ago
Three lakh fourteen thousand five hundred thirty-two write numbers placing commas according to indian system
matrenka [14]

Answer:

Rs. 3,14,532

Step-by-step explanation:

8 0
3 years ago
6/7 divided by 1 2/5
Alja [10]
In order to multiply or divide a fraction by a mixed numeral, it is best to have them BOTH in fraction form. 1) We'll convert 1 2/5 into an improper fraction. (1×5)+2 = 7/5
Now 6/7 ÷ 7/5
2) when dividing by a fraction, it is the same to multiply by its reciprocal. So flip the second fraction and multiply them: 6/7 ÷ 7/5 = 6/7 × 5/7
3) reduce them: there is nothing on top that reduces with the bottom, so we simply multiply
4) multiply numerators, then multiply denominators and keep them in place: 6×5 = 30, 7×7 = 49
5) so our final answer is 30/49
4 0
3 years ago
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