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nadya68 [22]
3 years ago
6

A circle has a radius of 6ft. What is the area of the sector formed by a central angle measuring 300 degrees

Mathematics
1 answer:
scoundrel [369]3 years ago
4 0

Answer:

30π  ft^2 which is 94.25 ft^2 to the nearest hundredth.

Step-by-step explanation:

The area of the full circle is π * 6^2

= 36π  so:

the area of the 300 degrees sector = 300 * 36 π  / 360

= 30 π

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An expression is shown below:
kirza4 [7]

The factored expression is:

3y(x^3 + 4x - 3x^2 - 12)

------------------------

To factor the expression:

  • First, we need to find the greatest common factor of the numeric and symbolic coefficients.
  • Then, we divide each term of the expression by it's gcf.

------------------------

The expression is:

3x^3y + 12xy - 9x^2y - 36y

------------------------

The numeric coefficients are: 3, 12, 9, 36

The gcf of the numeric coefficients is:

3 - 12 - 9 - 36|3

1 - 4 - 3 - 12

The gcf of the numeric coefficients is 3, as 3 is the only number by which 3, 12, 9 and 36 are all divisible.

------------------------

The symbolic coefficients are: x^3y, xy, x^2y, y

The only common term is y, so y is the gcf of the symbolic coefficients.

------------------------

The gcf of the entire expression is the multiplication of the gcfs of the numeric and of the symbolic coefficients, so it is 3y.

Now, to factore the expression:

3x^3y + 12xy - 9x^2y - 36y = 3y(\frac{3x^3y}{3y} + \frac{12xy}{3y} - \frac{9x^2y}{3y} - \frac{36y}{3y}) = 3y(x^3 + 4x - 3x^2 - 12)

The factored expression is:

3y(x^3 + 4x - 3x^2 - 12)

A similar problem is given at brainly.com/question/20691631

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Answer:

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Step-by-step explanation:

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BD = CD .....(Given)

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m\angle BCD = 60\degree....(given)

\implies m\angle CBD = 60\degree

Now,

m\angle CBD + m\angle ABD= 180\degree

(Angles in linear pair)

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\implies   m\angle ABD= 180\degree - 60\degree

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Next, in \triangle ABD

m\angle BAD + m\angle ABD+ m\angle ADB= 180\degree

(By interior angle sum postulate of a triangle)

\implies 35\degree + 120\degree+ x= 180\degree

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