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3 years ago

LMNO is a parallelogram. Determine the length of side LM

Mathematics

1 answer:

kherson [118]3 years ago

8 0

Answer:

LM = 23

Step-by-step explanation:

Opposite sides of a parallelogram are the same length, so you can use sides LO and MN to find the value of x:

21 = 4x -7

28 = 4x

7 = x

Then use that value in the expression for the side length NO:

NO = 3x +2 = 3·7 +2 = 23

Since LM is the same length as NO, LM = 23.

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Answer:

The population is 168,900,000 to the nearest hundred thousand

Step-by-step explanation:

In this question, we are tasked with calculating the population of Brazil given its population in 1995 and her growth rate per decade.

Mathematically, we use an exponential function to calculate this population.

This can be written as P = I(1 + r)^n

where P is the population in 2015 which we are looking for,

I is the initial population which is 162,300,000

r is the rate of increase per decade given as 2% = 2/100 = 0.02,

n is the number of times between the years we are expecting this growth. The difference between the years 2015 and 1995 is 20 years which signifies 2 decades(1 decade is 10 years). Thus our n is 2

We plug these values into the equation above;

P = 162,300,000(1+0.02)^2

P = 162,300,000(1.02)^2

P = 168,856,920 which is 168,900,000 to the nearest hundred thousand

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3 years ago

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Answer:

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3 years ago

What is the circumference of a circle whose radius is 13?

Inessa05 [86]

Answer:

Circumference, C = 81.68 units

Step-by-step explanation:

Given that,

The radius of the circle, r = 13 units

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2. Move the constant to the right side of the equation and combine

3. Complete the square

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2 years ago

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