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2 years ago

Which of the following is an example of a rational number?

Mathematics

1 answer:

ivolga24 [154]2 years ago

6 0

<h3>Answer: Choice B</h3>

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Explanation:

Using your calculator, you should find that

sqrt(125) = 11.1803 approximately
sqrt(196) = 14 exactly
sqrt(207) = 14.387 approximately
sqrt(220) = 14.832 approximately

Each approximate result has its decimal digits go on forever without any pattern. So we cannot write those values as a fraction of two integers. The decimal expansion must have some kind of pattern that repeats forever, so we could consider it rational.

Only choice B results in a whole number. The value 14 is the same as 14/1, showing it can be written as a fraction of two integers. Therefore choice B is rational.

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Find the value of x and y

djverab [1.8K]

Answer:

x = 8, y = 27

Step-by-step explanation:

Since both opposite lines are equal in length to each other, these opposite lines are parallel to each other. The top line is parallel and same length as the bottom line and the left and right lines are also parallel and equal in length.

Based on that, the two left side angles must equal 180 and the right side two angles must equal 180.

(2y + 24) + (3y + 21) = 180

That's the same as 2y + 24 + 3y + 21 = 180

Simplify to 5y + 45 = 180

Subtract 45 from both sides

5y = 135

y = 27

(16x - 26) + (9x + 6) = 180

16x - 26 + 9x + 6 = 180

25x - 20 = 180

25x = 200

x = 8

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2 years ago

A. The seats are divided into 40 different sections thats are given in only 5 sections, what

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Answer: 40 / 5 = 8 There would be 8 guests sitting in a section that gets hats.

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2 years ago

Anna and Michael are workers in a factory making widgets. Anna can make 8 widgets per day in the factory. Michael is able to pro

omeli [17]

Answer:

4 widgets

Step-by-step explanation:

8÷2=4

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2 years ago

Read 2 more answers

What’s the height of the can?

kondaur [170]

Answer:

5 inches

Step-by-step explanation:

The formula to find the surface area of a cylinder is A = 2πrh + 2πr²

Since we need the height we will need to solve for h

First we can subtract 2πr² from both sides to get A - 2πr² = 2πrh
Then we can divide both sides by 2πr to get $h=\frac{A-2\pi r^{2} }{2\pi r}$

Now we can plug in our known values and solve for h

Here we were given the diameter, d, however this formula is in terms of the radius, r.
The diameter is equivalent to double the radius, d = 2r
Therefore the radius is equivalent to half the diameter, $r=\frac{1}{2} d$
Plugging in d to solve for r we get $r=\frac{1}{2}(2)$ which simplifies to r = 1