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Reil [10]
3 years ago
15

A convex octagon has interior angles with measures (x + 55). (3x + 20), 4x°. (4x - 10). (6x - 55) (3x + 52). 3.xº, and (2x + 30)

. Find
the value of x.
Mathematics
1 answer:
ioda3 years ago
5 0

Answer:

Step-by-step explanation:

The sum of all the internal angles of a convex octagon must equal 1080.

You'll want to add all the angles together and then solve.

(x+55)+(3x+20)+4x+(4x-10)+(6x-55)+(3x+52)+3x+(2x+30) = 1080

Just combine like terms and then solve for x.

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A gas pump fills 2^-2 gallon of gasoline per second. how many gallons does the pump fill in one minute?
astraxan [27]

Answer:

The gas pump filling the gallons in 1 minute will be: 15

Step-by-step explanation:

  • Given that a gas pump fills 2^-2 gallon of gasoline per second.

As there are 60 seconds in 1 minute.

Thus,

Gas pump filling the gallons in 1 minute will be:

60\:\times 2^{-2}

=60\times \frac{1}{2^2}             ∵ a^{-b}=\frac{1}{a^b}

\mathrm{Multiply\:fractions}:\quad \:a\times \frac{b}{c}=\frac{a\:\times \:b}{c}

=\frac{1\times \:60}{2^2}

=\frac{60}{2^2}

=\frac{2^2\times \:3\times \:5}{2^2}

=3\times \:5

=15 gallons in one minute

Therefore, the gas pump filling the gallons in 1 minute will be: 15

6 0
3 years ago
How can you represent a linear function in a way that reveals its slope and y-intercept
Alinara [238K]

Answer:

see explanation

Step-by-step explanation:

A linear function is a straight line so all you have to do is find a slope and a y-intercept

8 0
3 years ago
What is the volume of the basement?
bagirrra123 [75]

Volume = Length × Breadth × Height

So you are absolutely right, it is 252 yards squared

5 0
3 years ago
If y varies inversely as x and y=23 when x=8 find y when x=4
valina [46]
<h2>INVERSE VARIATION</h2>

<em>E</em><em>Q</em><em>U</em><em>A</em><em>T</em><em>I</em><em>O</em><em>N</em><em>:</em><em> </em><em> </em><em> </em><em> </em>

y =  \frac{k}{x}

<em>–</em><em>–</em><em>–</em><em>–</em><em>–</em><em>–</em><em>–</em><em>–</em>

First, find the constant of variation <em>k</em> using the formula k=xy.

23 =  \frac{k}{8}

k = (8)(23)

k = 184

<em>–</em><em>–––––––</em>

Then, find <em>y</em> if <em>x</em> is equal to four using the formula y=184/x.

y =  \frac{184}{x}

y =  \frac{184}{4}

y = 46

<em>F</em><em>i</em><em>n</em><em>a</em><em>l</em><em> </em><em>A</em><em>n</em><em>s</em><em>w</em><em>e</em><em>r</em><em>:</em>

<h2>y = 46</h2>
5 0
3 years ago
How many permutations can be formed from the letters of the word tennessee ?
Over [174]
<span>3780 If you consider every letter in the word "tennessee" to be unique there is 9!, or 362880 different ways to arrange the letters. So let's use that as a starting point. Now there's 4 e's, which we really don't care how they're arranged. So divide by 4!, or 24. Giving us 362880/24 = 15120 different ways to arrange the letters. There's also 2 n's. So divide by 2!, giving us 15120/2 = 7560 different ways. Don't forget the s's either. So another division by 2!, giving 7560/2 = 3780 different ways. And there's no more duplicate letters, so the final figure is 3780 different ways to arrange the letters in the word "tennessee".</span>
8 0
3 years ago
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