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3 years ago

Is this sum rational or irrational? Explain.

Mathematics

1 answer:

Lemur [1.5K]3 years ago

3 0

Answer:

First answer:

"<em>The sum is rational because both 1.12 and 18 are rational, and the sum of rational numbers is rational."</em>

Step-by-step explanation:

Both 1.12 and 18/7 are rational numbers (meaning that they can be written as a quotient of integer numbers:

1.12 = 112/100

Then, since the addition of rational numbers is also a rational number, their sum is another rational number.

Then the correct answer is:

<em>The sum is rational because both 1.12 and 18 are rational, and the sum of rational numbers is rational.</em>

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2 years ago

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2 years ago

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1 year ago

What is the volume of a small cone if:

Amiraneli [1.4K]

Answer:

Volume of smaller cone =301.44

Step-by-step explanation:

First let angle of cone be $\alpha$ .

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Same cone angle is for smaller one because they are similar.

$cos(\alpha )$ = 4/5

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3/5 =R/Slant height

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$\beta=\frac{6\pi }{5}$

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2 years ago

a parabolic lamp is facing due east. The bulb (located at the focus) is 8 inches away from the vertex (located at the origin). t

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9514 1404 393

Answer:

3 1/8 inches

Step-by-step explanation:

For focus-vertex distance p, the equation of the parabola can be written ...

y = x^2/(4p)

Here, we have p=8. We want to find the value of y when x=10 (the radius of the dish). That is ...

y = (10^2)/(4·8) = 100/32 = 3 1/8

The dish is 3 1/8 inches deep.

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2 years ago