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JulsSmile [24]
3 years ago
12

Find a rational number and an irrational number that are between 5.2 and 5.5. Include the decimal approximation of the irrationa

l number to the nearest hundredth.
Mathematics
2 answers:
KonstantinChe [14]3 years ago
6 0
16/3(5.33) is irrational and 5.3 is rational.
Verdich [7]3 years ago
4 0
Rational numbers are numbers that can be made into a fraction.
so 5.3 is a number between 5.2 and 5.5

irrational numbers cannot be expressed as a fraction 
square root 29 = 5.39...which is between 5.2 and 5.5

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\text{The length of the diagonal is }11.2\text{ mm}

Here, we want to find the diagonal of the given solid

To do this, we need the appropriate triangle

Firstly, we need the diagonal of the base

To get this, we use Pythagoras' theorem for the base

The other measures are 6 mm and 8 mm

According ro Pythagoras' ; the square of the hypotenuse equals the sum of the squares of the two other sides

Let us have the diagonal as l

Mathematically;

\begin{gathered} l^2=6^2+8^2 \\ l^2\text{ = 36 + 64} \\ l^2\text{ =100} \\ l\text{ = }\sqrt[]{100} \\ l\text{ = 10 mm} \end{gathered}

Now, to get the diagonal, we use the triangle with height 5 mm and the base being the hypotenuse we calculated above

Thus, we calculate this using the Pytthagoras' theorem as follows;

\begin{gathered} d^2=5^2+10^2 \\ d^2\text{ = 25 + 100} \\ d^2\text{ = 125} \\ d\text{ = }\sqrt[]{125} \\ d\text{ = }11.2\text{ mm} \end{gathered}

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1 year ago
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Any number between them both

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Type the answers in the boxes below.
Vaselesa [24]

Let m and h represent hours Mai spends mowing and hauling, respectively. Then (m+h) will be the number of hours Priya spends babysitting. In order for their earnings to be equal, we must have  

 7m +14h = 8.40(m+h)

 Subtract 7m+8.40h:  5.60h = 1.40m

 Divide by 1.40:  m = 4h

Then the total number of hours worked by either person is

 m + h = (4h) +h = 5h

When only whole numbers of hours are worked, the smallest number of hours that will make earnings equal is 5h, with h=1, or 5 hours. In that time, each will earn 5×$8.40 = $42.

Therefore, each of them must work 5 hours and earn $42 before they go to the movies and Mai will work 4 hours mowing and 1 hour hauling.

5 0
3 years ago
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