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scZoUnD [109]
1 year ago
15

Write -1.64 as a fraction in simplest form

Mathematics
1 answer:
Mashutka [201]1 year ago
3 0

To write the following as a fraction, we will;

First write the decimal over 1

That is;

\frac{-1.64}{1}

Then multiply the numerator and the denominator by 100

\frac{-1.64\text{ }\times100}{1\text{ }\times100}\frac{-164}{100}

Now, go ahead and reduce the fraction

=-\frac{41}{25}=\text{ -1}\frac{16}{25}

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Equation of the line is:

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3 years ago
Find the area of each regular polygon. Round your answer to the nearest tenth if necessary.
tatuchka [14]

*I am assuming that the hexagons in all questions are regular and the triangle in (24) is equilateral*

(21)

Area of a Regular Hexagon: \frac{3\sqrt{3}}{2}(side)^{2} = \frac{3\sqrt{3}}{2}*(\frac{20\sqrt{3} }{3} )^{2} =200\sqrt{3} square units

(22)

Similar to (21)

Area = 216\sqrt{3} square units

(23)

For this case, we will have to consider the relation between the side and inradius of the hexagon. Since, a hexagon is basically a combination of six equilateral triangles, the inradius of the hexagon is basically the altitude of one of the six equilateral triangles. The relation between altitude of an equilateral triangle and its side is given by:

altitude=\frac{\sqrt{3}}{2}*side

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(24)

Given is the inradius of an equilateral triangle.

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Substituting the value of inradius and calculating the length of the side of the equilateral triangle:

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4 0
3 years ago
Suzanne owns stock worth $2,400. She owes $5,200 in student loans, and $2,500 on a credit car. She owes $1,800 on a car that is
jekas [21]

Answer:

15,100

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3 0
3 years ago
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ElenaW [278]
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5 0
3 years ago
What is the distance between (10, 6) and (-2, -3)
Helga [31]

Answer:

15 units.

Step-by-step explanation:

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√(x1-y1)^2 + (y1-y2)^2))

So here it is:

√(10- -2)^2 + (6- -3)^2)

= √(144+81)

=  √225

= 15.

4 0
3 years ago
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