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3 years ago

Solve the equation for x 25=1/x

Mathematics

1 answer:

Mkey [24]3 years ago

5 0

Answer:

x = 1/25

Step-by-step explanation:

Solve for x:

25 = 1/x

25 = 1/x is equivalent to 1/x = 25:

1/x = 25

Take the reciprocal of both sides:

Answer: x = 1/25

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what is the ratio for the volumes of two similar spheres given that the ratio of their radii is 4:7 A.)343:64 B.)49:16 C.)16:49

quester [9]

Answer:

Volume of the similar sphere be 64 :343 .

Option (D) is correct.

Step-by-step explanation:

Formula

$Volume\ of\ a sphere = \frac{4}{3}\pi r^{3}$

As given

The volumes of two similar spheres given that the ratio of their radii is 4:7 .

Let us assume that the x be the scalar multiple of the radi .

Radius of first sphere = 4x

Radius of second sphere = 7x

Putting the values in the formula

$Volume\ of\ first\ sphere = \frac{4}{3}\pi\times 4x\times 4x\times 4x$

$Volume\ of\ first\ sphere = \frac{4}{3}\pi\times 64x^{3}$

$Volume\ of\ second\ sphere = \frac{4}{3}\pi\times 7x\times 7x\times 7x$

$Volume\ of\ second\ sphere = \frac{4}{3}\pi\times 343x^{3}$

Thus

$\frac{Volume\ of\ first\ sphere}{Volume\ of\ second\ sphere} = \frac{\frac{4\pi\times 64x^{3}}{3}}{\frac{4\pi\times 343x^{3}}{3}}$

$\frac{Volume\ of\ first\ sphere}{Volume\ of\ second\ sphere} = \frac{64}{343}$

Therefore the ratio of the volume of the similar sphere be 64 :343 .

Option (D) is correct .

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Solve the equation for x 25=1/x​

Solve the equation for x 25=1/x