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Anestetic [448]

2 years ago

12

Leon filled a box with unit cubes. When it was completely filled, the box contained 32 cubes and had no gaps or overlaps. What w

as the volume of the box?

1 answer:

QveST [7]2 years ago

6 0

Leon is filled
Explanation

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Two sides of a triangle are 5 and 10. Which is a<br> possible length for the third side?

Sever21 [200]

Answer:

4

Step-by-step explanation:

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2 years ago

The formula p=8n-30 gives the profit p when a number of items n are each sold at $8 and expenses totaling $30 dollars are subtra

andrew11 [14]

Answer:

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7 0

3 years ago

Any help would be great . Thank you!

vladimir1956 [14]

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2 years ago

The teacher tells the class the highest marks obtained by a student in her class is twice the lowest marks plus 7 . the highest

Ilya [14]

Answer:

40

Step-by-step explanation:

highest=2(lowest)+7

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7 0

2 years ago

Y=arccos(1/x)<br><br> Please help me do them all! I don’t know derivatives :(

Stells [14]

Answer:

$f(x) = {sec}^{ - 1} x \\ let \: y = {sec}^{ - 1} x \rightarrow \: x = sec \: y\\ \frac{dx}{dx} = \frac{d(sec \: y)}{dx} \\ 1 = \frac{d(sec \: y)}{dx} \times \frac{dy}{dy} \\ 1 = \frac{d(sec \: y)}{dy} \times \frac{dy}{dx} \\1 = tan \: y.sec \: y. \frac{dy}{dx} \\ \frac{dy}{dx} = \frac{1}{tan \: y.sec \: y} \\ \frac{dy}{dx} = \frac{1}{ \sqrt{( {sec}^{2} \: y - 1}) .sec \: y} \\ \frac{dy}{dx} = \frac{1}{ |x | \sqrt{ {x }^{2} - 1} } \\ \therefore \frac{d( {sec}^{ - 1}x) }{dx} = \frac{1}{ |x | \sqrt{ {x }^{2} - 1} } \\ \frac{d( {sec}^{ - 1}5x) }{dx} = \frac{1}{ |5x | \sqrt{25 {x }^{2} - 1} }\\\\y=arccos(\frac{1}{x})\Rightarrow cosy=\frac{1}{x}\\x=secy\Rightarrow y=arcsecx\\\therefore \frac{d( {sec}^{ - 1}x) }{dx} = \frac{1}{ |x | \sqrt{ {x }^{2} - 1} }$

4 0

2 years ago