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3 years ago

Can someone who is eligible help me with this.?

Mathematics

1 answer:

Murrr4er [49]3 years ago

4 0

Answer:

Step-by-step explanation:

volume of one cube = ½×½×½ = ⅛ cm³

volume of prism = 5×3×6 = 90 cm³

90/(⅛) = 720 cubes to fill the prism.

volume of bottom layer of cubes = 5×3×½ = 7.5 cm³

7.5/(⅛) = 60 cubes on the bottom layer

Each layer is ½ cm in height

6 cm × (1 layer)/(½ cm) = = 12 layers

perimeter = 2×5 + 2×3 = 16 cm

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The graph of an inverse trigonometric function passes through the point (1, pi/2). Which of the following could be the equation

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Answer: C) $y=sin^-1 x$

Step-by-step explanation:

Since, the graph of an inverse trigonometric function will pass through the point $(1,\frac{\pi}{2})$ ,

If this point satisfies the function,

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If x = 1

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Thus, $(1,\frac{\pi}{2})$ is not satisfying function $y=cos^{-1} x$ ,

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For the function $y=cot^{-1}x$

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$y=cot^{-1}1=\frac{\pi}{4}$

Thus, $(1,\frac{\pi}{2})$ is not satisfying function $y=cot^{-1}x$ ,

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For the function $y=sin^{-1} x$

If x = 1

$y=sin^{-1}1=\frac{\pi}{2}$

Thus, $(1,\frac{\pi}{2})$ is satisfying function $y=sin^{-1} x$ ,

⇒ The graph of $y=sin^{-1} x$ is passing through the point $(1,\frac{\pi}{2})$ .

For the function $y=tan^{-1}x$

If x = 1

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Thus, $(1,\frac{\pi}{2})$ is not satisfying function $y=cos^{-1} x$ ,

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Hence, Option C is correct.

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Step-by-step explanation:

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