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Viktor [21]
3 years ago
11

The population of a town increased from 3500 in 2005 to 5600 in 2009. Find the absolute and relative (percent) increase.

Mathematics
1 answer:
Ket [755]3 years ago
6 0

Answer:

Absolute increase in population will be 2100

And percentage increase will be 60 %

Step-by-step explanation:

We have given population in 2005 is 3500

And population in 2009 is 5600

So absolute increase in population = 5600-3500 = 2100

We have to find the percentage increase in population

So relative percentage increase in population will be \frac{2100}{3500}\times 100=60 %

So population will increase by 60 %

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Given cos (theta)=1, find cot (theta)
jok3333 [9.3K]

First problem:

cos (theta)=1

Using the inverse cosine function, you get theta = 0.

Now we find tan 0 = 0

cot(theta) = 1/tan(theta) = 1/0

Division by zero is undefined, so the answer is d. undefined

Second problem:

cos (theta)=1

Use the inverse cosine function.

theta = 0°

Answer: c. 0°

6 0
2 years ago
Given the length of three sides of a triangle, which is a right triangle?
RSB [31]

The aides of a right triangle will always satisfy the Pythagorean relationship ...

                   a² + b²=  c²

We can take each of these and try it out:

(1) ... 10² + 24² = 100 + 576  = 676
         √676 = <em>26  Yes</em>.

(2) ... 12² + 18²  =  144 + 324  =  468
           √468  =  21.6, not 20.  <em>No.</em>

(3) ... 15² + 26²  =  225 + 676  =  901
         √901  =  30.017  Awfully close.  As an engineer, I'll buy this one. <em>Yes.</em>

(4) ...  40² + 50²  =  1,600 + 2,500  =  4,100
          √4,100  =  64.03, not 80.<em>  No.</em>


8 0
2 years ago
Read 2 more answers
determine the slope of the line that contains the points g(8,1) &amp; h(8,-6). select one: a. 2 b. 5 c. 0 d. undefined
Strike441 [17]
Slope, m= \frac{change in y}{change in x}
slope, m= \frac{1--6}{8-8}
m= infinite
7 0
3 years ago
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Which property of equality is used to solve the equation 5n = 50?
Katena32 [7]

Answer:

Division Property of Equality.

Step-by-step explanation:

In this case, you will use the Division Property of Equality to solve. Isolate the variable, n, by dividing 5 from both sides:

(5n)/5 = (50)/5

n = 50/5

n = 10

~

3 0
2 years ago
Read 2 more answers
determine the vertex and axis of symmetry for the following: f(x) = 2x to the power of 2 - 12x + 24 ?
Vikki [24]

Answer:

vertex = (3,24)  Axis of symmetry = 3

Step-by-step explanation:

Use the vertex formula to find x: x=-b/2(a)

x= 12/2(2) = 3 (this is your axis of symmetry)

Substitute 3 for x in the equation to get y: y = 42

Once you have both x and y you have your vertex.

7 0
2 years ago
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