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4 years ago

2. Find the sum of the interior angles of a 40- sided polygon What’s the answer

Mathematics

1 answer:

Brilliant_brown [7]4 years ago

3 0

Answer:

6840 degrees

Step-by-step explanation:

The sum of the interior angles of a polygon is given by

(n-2)*180 where n is the number of sides

there are 40 sides

(40-2)*180

38*180

6840 degrees

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Graph the image of the given triangle under a dilation with a scale factor of 12 and center of dilation (0, 0)

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Answer:Graph the image of the given triangle under a dilation with a scale factor of 12 and center of dilation (0, 0)

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3 years ago

If 3x - 2y = 9 , 27x³- 8y³= 1377 , prove that xy = 4 <br><br><br><br>plzz answer this question...

solniwko [45]

Step-by-step explanation:

Here we are given that , the Value of

$3x - 2y = 9$
$27x^3 - 8y^3 = 1377$

And we need to find the prove that ,

$xy = 4$

We know a identity as ,

$(a-b)^3 = a^3-b^3-3ab(a-b)$

On cubing both sides of the given equation,

$(3x-2y)^3 = 9^3$

Simplify and then substitute ,

$27x^3-8y^3 -3(3x)(2y)(3x-2y ) = 729$

$1377 - 18xy (9) = 729$

$162xy = 1377-729$

$xy =\dfrac{648}{162}$

$xy = 4$

Hence Proved !

8 0

3 years ago

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X is less than or equal to -3
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3 years ago

Find the equation of a line, in slope intercept form of a line that passes through the point (9,2) and is parallel to the line 2

Roman55 [17]

Answer:

Step-by-step explanation:

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5 0

3 years ago

Expand each expression

matrenka [14]

Answer:

Option B - $\ln(\frac{4y^5}{x^2})=\ln 4+5\ln y-2\ln x$

Step-by-step explanation:

Given : Expression $\ln(\frac{4y^5}{x^2})$

To find : Expand each expression ?

Solution :

Using logarithmic properties,

$\ln (\frac{A}{B})=\frac{\ln A}{\ln B}=\ln A-\ln B$

and $\ln (AB)=\ln A+\ln B$

Here, A=4y^5 and B=x^2

$\ln(\frac{4y^5}{x^2})=\frac{\ln 4y^5}{\ln x^2}$

$\ln(\frac{4y^5}{x^2})=\ln 4y^5-\ln x^2$

$\ln(\frac{4y^5}{x^2})=\ln 4+\ln y^5-\ln x^2$

Using logarithmic property, $\logx^a=a\log x$

$\ln(\frac{4y^5}{x^2})=\ln 4+5\ln y-2\ln x$

Therefore, option B is correct.

3 0

3 years ago

Read 2 more answers