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grandymaker [24]
2 years ago
5

The population of a country has been increasing for several decades. In 1990, the population was about 263 million people In 201

4, the population was about 307 million people Determine the percent in + The country's population increased by about % during this time period
​
Mathematics
1 answer:
Misha Larkins [42]2 years ago
8 0

Answer:

The country's population increased by about 16.73% during this time period.

Step-by-step explanation:

Percent increase:

The percent increase is given by the change multiplied by 100 and divided by the initial value.

In 1990, the population was about 263 million people In 2014, the population was about 307 million people.

Change: 307 - 263 = 44

Initial population: 263

Percentage increase:

44*100/263 = 16.73%

The country's population increased by about 16.73% during this time period.

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Suppose that LMN is isosceles with base LN suppose that M
ira [324]

Given:

In an isosceles triangle LMN, LM=MN.

m\angle M=(3x+17)^\circ,m\angle L=(2x+36)^\circ

To find:

The measure of the angles L, M and N.

Solution:

In triangle LMN,

LM=MN                     (Given)

m\angle N=m\angle L=(2x+36)^\circ   (Base angles of an isosceles triangle are equal)

Now,

m\angle L+m\angle M+m\angle N=180^\circ

(2x+36)^\circ+(3x+17)^\circ+(2x+36)^\circ=180^\circ

(7x+89)^\circ=180^\circ

(7x+89)=180

On further simplification, we get

7x=180-89

7x=91

x=\dfrac{91}{7}

x=13

The value of x is 13. Using this value, we get

m\angle L=(2(13)+36)^\circ

m\angle L=(26+36)^\circ

m\angle L=62^\circ

Similarly,

m\angle M=(3(13)+17)^\circ

m\angle M=(39+17)^\circ

m\angle M=56^\circ

And,

m\angle N=m\angle L

m\angle N=62^\circ

Therefore, the measure of angles are m\angle L=62^\circ,m\angle M=56^\circ,m\angle N=62^\circ.

5 0
3 years ago
Which is an equation of the line that is perpendicular to 3x+y=-5 and passes through the point (3, -7)?
nataly862011 [7]

Answer:

y+7=1/3(x-3) in point slope

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Step-by-step explanation:

First put 3x+y=5 in slope-intercept form (y=mx+b)

y=-3x+5

Give that the slope is -3 the perpendicular slope would be 1/3

now using the points (3.-7)

y+7=1/3(x-3) in point slope

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3 years ago
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Answer: 75%

Step-by-step explanation:

Height given :

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The total number of height given = 12

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The total number of heights less than 73 = 9

Therefore : the percentage of these students who are shorter than 73 inches = total number of students shorter than 73/ total number of height x 100

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When you go to a restaurant you decide to give the waiter a 17% tip. What percentage of the bill do you pay?
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Answer:

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Step-by-step explanation:

1+x%

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3 years ago
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