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BaLLatris [955]

4 years ago

12

A cube has a surface area of 150 cm2. What is the volume of the cube (in cm3)?

1 answer:

maksim [4K]4 years ago

5 0

There are six sides so divide 150 by 6 to get 25. This is the surface area of one surface. The length of one edge would be the square root of the area. 25 squared would be 5. This is one edge and since we have a cube we would have to cube the edge. 5*3 is 125 cm3

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Prove the following identity <br><br><br> sin x(sec x+cscx)= tan x +1

Alexxandr [17]

Answer:

Step-by-step explanation:

<u>________________________________________________________</u>

<u>FACTS TO KNOW BEFORE SOLVING :-</u>

<u></u> $\sin x = \frac{1}{cosec \: x} \: \: or \: \: cosex \: x = \frac{1}{\sin x}$ <u></u>

<u></u> $\cos x = \frac{1}{\sec x} \: \:or \: \: \sec x = \frac{1}{\cos x}$ <u></u>

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<u>________________________________________________________</u>

In the question ,

L.H.S. = $\sin x (\sec x + cosec \: x)$

R.H.S. = $\tan x + 1$

Lets solve L.H.S. first.

$\sin x (\sec x + cosec \: x)$

$=> \sin x( \frac{1}{\cos x} + \frac{1}{\sin x} )$

$=> \frac{\sin x}{\cos x} + \frac{\sin x}{\sin x}$

$=> \tan x + 1$

∴ L.H.S. = R.H.S. (Proved)

3 0

3 years ago

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Zina [86]

Answer:

x=9

Step-by-step explanation:

4(x – 2) = 3x + 1

Distribute 4x-8 = 3x+1

Subtract 3x from each side

4x -8-3x = 3x-3x + 1

x-8 =1

Add 8 to each side

x-8+8 = 1+8

x=9

4 0

4 years ago

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monitta

Answer:

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Step-by-step explanation:

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=> 31

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Answer:

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Step-by-step explanation:

idk if this is like a opinion-based question but here you go.

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11Alexandr11 [23.1K]

Answer:

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Step-by-step explanation:

8 0

3 years ago

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