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NARA [144]
3 years ago
5

How do u calculate these no from least to greatest 4.2, 3.10, 4 1/8, 3.01, 2.3, 2 4/5 , 3.017

Mathematics
2 answers:
zubka84 [21]3 years ago
6 0

Answer:

2.3, 2.8, 3.01, 3.017, 3.10, 4.125, 4.2

Or 2.3, 2\frac{4}{5}, 3.01, 3.017, 3.10, 4\frac{1}{8}, 4.2

Step-by-step explanation:

The given numbers are 4.2, 3.10, 4\frac{1}{8}, 3.01, 2.3, 2\frac{4}{5}, 3.017

To arrange them we will covert the fractions into decimals first.

4.2, 3.10, 4.125, 3.01, 2.3, 2.8, 3.017

Let's understand which number is greater among 2.3 and 2.8.

Here 2 is common in both the numbers but after decimal one number has 2 and other 8.

So number having greater number after decimal will be greater than the other one.

Therefore, out of 2.3 and 2.8, 2.8 will be greater.

Now we will arrange all the numbers from least to greatest.

2.3, 2.8, 3.01, 3.017, 3.10, 4.125, 4.2

Makovka662 [10]3 years ago
3 0
2.3
2 4/5= 2.8
3.01
3.017
3.10
4 1/8= 4.125
4.2
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3 years ago
If the smallest angle of a triangle is 20° and it is included between sides of 4 and 7, then (to the nearest tenth) the smallest
lawyer [7]

Answer:

3.5

Step-by-step explanation:

The smallest side of a triangle is formed by the smallest angle in the triangle.

To find the side opposite (formed by) the 20 degree angle, we can use the Law of Cosines. The Law of Cosines states that for any triangle, c^2=a^2+b^2-ab\cos \gamma, where a, b, and c are the three sides of the triangle and \gamma is the angle opposite to c.

Let c be the side opposite to the 20 degree angle.

Assign variables:

  • a\implies 4
  • b\implies 7
  • \gamma \implies 20^{\circ}

Substituting these variables, we get:

c^2=4^2+7^2-2(4)(7)\cos 20^{\circ},\\c^2=16+49-56\cos 20^{\circ},\\c^2=12.377213236,\\c=\sqrt{12.377213236}=3.51812638147\approx \boxed{3.5}

Therefore, the shortest side of this triangle is 3.5.

5 0
3 years ago
Which expression represents the area of the shaded region?
irina1246 [14]

Given:

A circle of radius r inscribed in a square.

To find:

The expression for the area of the shaded region.

Solution:

Area of a circle is:

A_1=\pi r^2

Where, r is the radius of the circle.

Area of a square is:

Area=a^2

Where, a is the side of the square.

A circle of radius r inscribed in a square. So, diameter of the circle is equal to the side of the square.

a=2a

So, the area of the square is:

A_2=(2r)^2

A_2=4r^2

Now, the area of the shaded region is the difference between the area of the square and the area of the circle.

A=A_2-A_1

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A=4r^2-\pi r^2

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Therefore, the correct option is (a).

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Blababa [14]
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rate of increase: -16/8 = -2
 
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The don't have A0 = 2 listed as an option so we use A1 = -4 and (n-1) terms.

An = -4(-2)^(n-1)

Solving for the 5th term A5, use n = 5

A5 = -4(-2)^(5-1)
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