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Taya2010 [7]
3 years ago
13

The sum of the interior angles of a polygon is 1080 degrees. How many sides does the polygon have?

Mathematics
1 answer:
postnew [5]3 years ago
4 0

9514 1404 393

Answer:

  8

Step-by-step explanation:

The formula for the number of degrees in the sum of the interior angles of an n-sided polygon is ...

  sum of angles = 180°(n -2)

Filling in the given value and solving for n, we get ...

  1080 = 180(n -2)

  6 = n -2 . . . . . . divide by 180

  8 = n . . . . . . . . add 2

The polygon has 8 sides.

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A particular brand of gasoline has a density of 0.737 g/ml at 25 ∘c. how many grams of this gasoline would fill a 13.4 gal tank
ruslelena [56]

Given, the density of a particular brand of gasoline = 0.737 g/ml.

13.4 gallon of tank given. We have to find the mass of gasoline to fill the tank.

First we will convert 13.4 gallon to ml.

We know that 1 gallon = 3.78541 litre

And 1 litre = 1000 ml

So we can write 1 gallon = (3.78541)(1000) ml = 3785.41 ml.

13.4 gallon = (3785.41)(13.4) ml = 50724.494 ml.

Let's take there is x grams of gasoline

We know that density = (mass/ volume) = \frac{x}{50724.494}

So we can write,

0.737 =\frac{x}{50724.494}

To find x we will multiply both sides by 50724.494. we will get,

(0.737)(50724.494) =(\frac{x}{50724.494}) (50724.494)

(0.737)(50724.494) = x

37383.95 = x

So we have got the required answer.

Mass of gasoline = 37383.95 grams.

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4 years ago
there are 28 people surveyed 1/4 of the people like pizza and 2/7 of the people like corndogs the remaining people like hamburge
Yuki888 [10]

Answer:

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4 years ago
An exponential function is graphed on the grid
Lilit [14]

Answer:

a) the domain is the set of all real numbers

Step-by-step explanation:

Given:

An exponential function and its graph.

A line parallel to x axis is drawn at y=-9 which is a dashed line.

Dashed line means, the function does not attain a value equal to y=-9.

Domain of a function, y=f(x) is the set of values which can be possible for the variable x that can be given as input.

Range of a function, y=f(x) is the set of possible values of y i.e. the output of the function.

As seen from the graph, the domain of the exponential function does not have any constraint on it.

Therefore, any real number can be given as input.

So, <em>a) The domain is the set of all real numbers.</em>

<em></em>

Let us discuss about the range of function.

As stated above as well, the range of the function can not contain the value y=-9.

And there is no value possible below it.

So, the <em>range is all real numbers greater than -9.</em>

<em></em>

<em>The answer is:</em>

"a) the domain is the set of all real numbers"  is true.

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