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BabaBlast [244]
3 years ago
5

The formula V = πr3 represents the volume V of a sphere with radius r. The radius of the Earth is approximately 6.3781 103. What

is the approximate volume of the Earth? Use 3.14 for π
Mathematics
1 answer:
AlladinOne [14]3 years ago
6 0

Answer:

radius \: of \: earth \:  = 6.4 \times  {10}^{6} \: m  \\ volume  \: of \: a \: sphere =  \frac{4}{3} \pi {r}^{3}  \\  =  \frac{4}{3}  \times 3.14 \times (6.4 \times  {10}^{6} ) ^{3}  \\  = 1.098 \times  {10}^{21}  \:  {m}^{3}  \\ or \\  = 1.098 \times  {10}^{12}  \:  {km}^{3}

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First, you put each fraction into its greatest common denominator:
5/20 - 12/20. This then gives you the answer - 7/20.
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3 years ago
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Reverse the two digits of my age, divide by three, add 20, and the result is my age. How many years old am I
lapo4ka [179]

Answer:

  • 48 years old.

Step-by-step explanation:

Let the age be xy or 10x + y.

Reverse the two digits of my age, divide by three, add 20, and the result is my age, convert this to equation:

  • (10y + x)/3 + 20 = 10x + y
  • (10y + x)/3 = 10x + y - 20
  • 10y + x = 3(10x + y - 20)
  • 10y + x = 30x + 3y - 60
  • 30x - x + 3y - 10y = 60
  • 29x - 7y = 60

We should consider both x and y are between 1 and 9 since both the age and its reverse are 2-digit numbers.

Possible options for x are:

  • 29x ≥ 7*1 + 60 = 67 ⇒ x > 2, at minimum value of y,

and

  • 29x ≤ 7*9 + 60 = 123 ⇒ x < 5, at maximum value of y.

So x can be 3 or 4.

<h3>If x = 3</h3>

  • 29*3 - 7y = 60
  • 87 - 7y = 60
  • 7y = 27
  • y = 27/7, discarded as fraction.

<h3>If x = 4</h3>

  • 29*4 - 7y = 60
  • 116 - 7y = 60
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So the age is 48.

6 0
1 year ago
Write a matrix equation for the given systems of equations.
REY [17]

Answer:

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Step-by-step explanation:

Given system of equations are

2x-6y-2z = 1

3y - 2z = -5

2y + 2z = -3

given

2 x - 6 y - 2 z = 1

0 x + 3 y - 2z = -5

0 x +2y + 2 z = - 3

<em>The Matrix form of the given system of equations </em>

<em>A X = B</em>

<em></em>\left[\begin{array}{ccc}2&-6&2\\0&3&-2\\0&2&2\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right]= \left[\begin{array}{ccc}1\\-5\\-3\end{array}\right]<em></em>

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3 years ago
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2r-20 is the answer combining the like terms and solving.
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OleMash [197]

4) -0.3 = -1/3 < -1/7 since the bigger a negative number is the less positive it is. 1/8 is positive so it is clear that it should be placed last. & thus do all options this way.

5) B

Area of a triangle = ½ bh.

where b = base &

h = height.

Area of outer shape = (½ x 16 x 12) in^2.

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Area of unshaded inner shape = (½ x 3 x 4) in^2.

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Area of shaded region = (96 – 6) in^2.

= 90 in^2.

4 0
2 years ago
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