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SSSSS [86.1K]
2 years ago
10

Which choice below shows the following numbers in order from least to greatest?

Mathematics
1 answer:
vfiekz [6]2 years ago
5 0

Answer:

1/3, \sqrt{4}, π, \sqrt{16}, 8

Step-by-step explanation:

Simplifying or rounding complicated numbers to integers can help us order them.

  • Integer - an integer is any whole number, including zero, that can be negative or positive.

Simplifying Numbers

Numbers like 1/3 and 8 don't need to be simplified because they are commonly used and understood.

Both 4 and 16 are perfect squares. So, to simplify these numbers we can just solve.

  • \sqrt{4} = 2
  • \sqrt{16} = 4

There is no way to "solve" pi, but we can round it to an easier number. Technically, pi is irrational, so there is no way to write out the whole number. However, in this case, we can just round to the nearest whole number.

  • π ≈ 3

This means, in the order they appear, the simplified numbers are 2, 8, 4, 1/3, and 3.

Ordering the Numbers

From this point, they should be easy to order.

  • 1/3 is the smallest because it is the only number less than 1.
  • \sqrt{4} is next because it is equal to 2
  • π is third since it is only slightly above 3
  • \sqrt{16} is fourth since it is equal to 4
  • 8 is the largest number on the list.
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The given diagram can be used to prove the Pythagorean theorem. Which expression represents the total area of the largest square
Oksanka [162]

Answer:

C = a² + 2ab + b²

Step-by-step explanation:

From the diagram above,

Let the dimension of the square be

A (length) = (a + b) and B (breadth) = (a + b).

Area of the square is A*B

A * B = (a + b) * (a + b)

Area = a² + ab + ab + b²

Area = a² + 2ab + b².

Therefore the expression that defines the area of the square is a² + 2ab + b².

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3 years ago
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In ΔXYZ, the measure of ∠Z=90°, YX = 37, ZY = 12, and XZ = 35. What ratio represents the sine of ∠X?
m_a_m_a [10]

Answer:

Step-by-step explanation:

7 0
2 years ago
Evan went to the park and saw four animals.
dsp73

Answer:

He saw <u>1 duck</u> and <u>3 dogs</u>.

Step-by-step explanation:

Given:

Evan went to the park and saw four animals.

Each animal was either a duck or a dog.

He saw a total of 14 legs.

Now, to find the number of each animal he had seen.

Let the number of duck be x.

And the number of dog be y.

So, total number of animals:

x+y=4\\y=4-x

Now, the total number of legs he did see:

<em>As we know the legs of a duck are 2 and a dog are 4.</em>

2x+4y=14\\2x+4(4-x)=14\\2x+16-4x=14\\-2x+16=14

Adding both sides by -16 we get:

-2x=-2

Dividing both sides by -2 we get:

x=1

The number of duck = 1.

Now, putting the value of x in above equation we get:

y=4-x

y=4-1\\y=3.

The number of dogs = 3.

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4 0
2 years ago
What is the exact area of a circle with a diameter of 20 cm?
Kisachek [45]
Hi there! The answer is 100πcm^2

The radius of a circle can be found by dividing the diameter by 2. In other words : the radius is half of the diameter.
Therefore, the radius of a circle with a diameter of 20 cm is 10 cm.

The exact area of a circle can be found using the following formula:
a = \pi \times \: {r}^{2} \\ with \\ a = area \\ r = radius

In order to find our answer, we need to plug in the data from the question.
a = \pi \: \times {10}^{2} = 100\pi

Hence, the answer is 100πcm^2.
5 0
3 years ago
Write −2.32 as a mixed number in simplest form.
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Answer: -2 8/25

Step-by-step explanation:

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2.32*100/100

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Simplest form reduced by:

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-2 8/25

7 0
3 years ago
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