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3 years ago

Which of the following is a rational number?

Mathematics

1 answer:

densk [106]3 years ago

3 0

An irrational number is a number that cannot be expressed as a fraction, like Pi
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The square root of 2 is irrational as it cannot be expressed as a fraction since the decimal never stops and never repeats.
Same goes for the square root of 3, and 5
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Square root of 1 is rational as because the square root of 1 is 1, and the number 1 can be expressed as a fraction (1/1)

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Mrrafil [7]

Answer:

f(9) = 72

Step-by-step explanation:

This is a piecewise function. You have to establish what part to plug in your x value based on the designations given in the function. In this case, x=9.

9>6, so we would follow the bottom designation! When writing the function, turn every "x" into a 9.

f(x) = 8x

f(9) = 8(9)

f(9) = 72

Hope this helps you out :)!

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3 years ago

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A cylinder has a base radius of 6 feet and a height of 12 feet.What is it's volume in cubic feet, to the nearest tenths place

Neporo4naja [7]

Answer:

$volume = \pi {r}^{2} h \\ = 3.14 \times {6}^{2} \times 12 \\ = 1357.2 \: {ft}^{3}$

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3 years ago

Please help my brain is fried at the moment but I need to get this done ASAP!

Leviafan [203]

Answer:

$3^34^4$

Step-by-step explanation:

Since you multiply 3 by itself 3 times, that becomes $3^3$ and since you multiply 4 by itself 3 times, that becomes $4^3$ .

The final product is $3^34^4$ .

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3 years ago

Choose the correct simplification of (2x3 + x2 − 4x) − (9x3 − 3x2).

Mrrafil [7]

You start off by multiplying the second bracket by -1 to get rid of the bracket.
So,
(2x3 + x2 - 4x) - 9x3 + 3x2 =
2x3 +x2 - 4x - 9x3 + 3x2 =
(2x3 - 9x3) + (x2 + 3x2) - 4x =
-7x3 + 4x2 - 4x

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3 years ago

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Using the Pythagorean Theorem, find the length of a leg of a right triangle if the other leg is 8 feet long and the hypotenuse i

iren [92.7K]

The <span>Pythagorean Theorem tells us that $a^{2}+b^{2}=c^{2}$ where c is the </span><span>hypotenuse and a and b are the other two sides. To solve for one of the shorter sides we need to rearrange:

$b=\sqrt{c^{2}-a^{2}}$

We can then substitute known values, and solve:
</span> $b=\sqrt{10^{2}-8^{2}}$
$b=\sqrt{100-64}$
$b=\sqrt{36}$
$b=6 feet$

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3 years ago

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