What is the irrational number in This set: 12.89, square root of 12 and 12/144 ?

1 answer:

6 0

Good night,

Irrational numbers are those that can't be expressed as a fraction:

12.89 can be expressed as: $\frac{1289}{100}$

$\frac{12}{144}= \frac{1}{12}$

The above numbers can be expressed as a fraction, then the logical answer is: $\sqrt{12}$

But we will check the answer:

$\sqrt{12}= \sqrt{2^{2}*3 } =2* \sqrt{3} =3.4641016...$

As you can see we can't express that number as a fraction, so that is te correct answer.

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A plastic ball is filled with gel to make a stress ball. If the ball has a radius of 4 cm, how much

Dafna1 [17]

Answer:

267.947 cm^{3} of gel is required to fill the plastic ball.

Step-by-step explanation:

The radius of the ball is given as 4 cm.

The gel is filled in the plastic ball, that means the gel occupies the volume of the radius.

The volume of the sphere is given by the formula,

$V = \frac{4}{3}(\pi)R^{3}$ , the R is the radius of sphere.

$V = \frac{4}{3}(\pi)(4)^{3} = 267.947 cm^{3}$

Thus, the volume of gel required to fill the plastic ball to make it stress ball is

267.947 cm^{3} of gel.

3 0

3 years ago

RoseWind [281]

Please note that dilation does not affect angles. Thus, if an image is dilated the angle remains the same and does not change.

Therefore, even if $\Delta ABC$ is dilated to $\Delta JKL$ by a factor of 1.5 (or by any factor for that matter), the linear dimensions of the original triangle $\Delta ABC$ will either get stretched or get shrunk by a factor of 1.5 but the angles of the original triangle will not be affected in any case.