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BabaBlast [244]
3 years ago
11

Work out the size of angle x. 38° х 101

Mathematics
1 answer:
KIM [24]3 years ago
5 0

Answer:

41°

Step-by-step explanation:

the sum of the interior angles is 180 degree

so,

38 + x + 101 = 180

139 +x = 180

x = 180 - 139

x= 41°

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Answer:

12πx⁴, 15x⁷, 16x⁹

Step-by-step explanation:

Volume of a cylinder: πr²h

Volume of a rectangular prism: whl

Plugging in variables for the volume of a cylinder, we get: 3x²·(2x)²·π

3x²·(2x)² = 3·2·2·x·x·x·x

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Now, we just multiply that by π.

12x⁴·π = 12x⁴π

A monomial is a 1-term polynomial, so 12x⁴π is a monomial.

Plugging in variables for the volume of a rectangular prism, we get: 5x³·3x²·x²

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= 15·x⁵

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Now, we just multiply that by x².

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A monomial is a 1-term polynomial, so 15x⁷ is a monomial.

Same steps for the last shape, another rectangular prism:

2x²·2x³·4x⁴

2x²·2x³

= 2·2·x·x·x·x·x

= 4·x⁵

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Now, we just multiply that by 4x⁴.

4x⁵·4x⁴

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What is the slope of this graph? −14 4 14 −4 Number graph ranging from negative 10 to 10 on both the x and y axis. A line passes
spin [16.1K]

The slope of this graph is - 4

Step-by-step explanation:

The slope of a line is m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} , where

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  • The slope of a horizontal line is zero
  • The slope of a vertical line is undefined

∵ The graph is a line

∵ The line passes through points (1 , -2) and (0 , 2)

∴ x_{1} = 1 and x_{2} = 0

∴ y_{1} = -2 and y_{2} = 2

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∴ m = - 4

The slope of this graph is - 4

Learn more:

You can learn more about the slope of a line in brainly.com/question/4152194

#LearnwithBrainly

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