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vagabundo [1.1K]
3 years ago
9

COMMUNICATION In 1996, there were 171 area codes in the United States. In 2007, there were 215. Find the rate of change from 199

6 to 2007.
Mathematics
2 answers:
uysha [10]3 years ago
8 0
In those 11 years the number of area codes increased by 44, so each year there were 4 new area codes
MakcuM [25]3 years ago
3 0

Answer:

4 area codes per year.

Step-by-step explanation:

There were 171 area cods in the United states in year 1996.

In 2007 there were 215 area codes. We have to find the rate of change from 1996 to 2007.

Since rate of change is defined by R = \frac{\text{Change in area codes}}{\text{Change in years from 1996 to 2007}}

= \frac{(215-171)}{(2007-1996)}

= \frac{44}{11}

= 4 area codes per year

Therefore, rate of change is 4 area codes per year.

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Answer:

Solution is x = 8.

Step-by-step explanation:

2 is not a solution as √2*2 - 2 is not equal to -4.

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The answer would be 2,187

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2,187

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arsen [322]

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Step-by-step explanation:

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Can anyone please help me with this ?
djverab [1.8K]

Answer:

The distance from point A to the top of the building is 5\sqrt{2} feet

The Height of the Skyscraper is 5 feet

Step-by-step explanation:

Given

Let Top point of building be point C

Also Let Base of the building be point  B

Distance from point A to base B of the building AB= 5 feet

∴ It makes a Right angle triangle

Also ∠ACB = 45°

Also tan 45° = 1

Now tan ∠ACB =\frac{AB}{BC}

∴ AB= BC =5 feet

The Height of the Skyscraper is 5 feet

Now Triangle ABC is right angle triangle with right angled at B

So by Pythagoras theorem

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5 0
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Y = 3/5x + 1, 5y = 3x - 2, 10x - 6y = -4<br> is it perpendicular, parallel, neither
Ber [7]

Answer:

y=\frac{3}{5} x+1 and 5y=3x-2 are parallel.

10x-6y=-4 is neither parallel nor perpendicular.

Step-by-step explanation:

First, you have to simplify each equation in terms of y.

y=\frac{3}{5} x+1\\5y=3x-2\\10x-6y=-4

Your first equation is already in terms of x, so simplify your second equation.

5y=3x-2\\y=\frac{3}{5} x-\frac{2}{5}

Now you can simplify your third equation.

10x-6y=-4\\-6y=-10x-4\\y=\frac{5}{3} x+\frac{2}{3}

These are your three equations in terms of y:

y=\frac{3}{5} x+1\\\\y=\frac{3}{5} x-\frac{2}{5} \\\\y=\frac{5}{3} x+\frac{2}{3}

Now, all you have to know is how to tell using your slope if a line is parallel or perpendicular to another.

Two parallel lines will have the exact same slope.

Two perpendicular lines will have slopes which are opposite reciprocals. For example, a line with a slope of 2 is perpendicular to a line with a slope of -\frac{1}{2}, as they have opposite signs and are reciprocal (2/1 versus 1/2) to each other.

Your first two equations have the same slope and are therefore parallel.

Your third equation is a reciprocal, but it is not opposite, and is therefore not parallel nor perpendicular.

5 0
3 years ago
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