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tiny-mole [99]
2 years ago
11

How many kilometers are equivalent to 3,570 meters?

Mathematics
1 answer:
julia-pushkina [17]2 years ago
6 0
3570 meters divided by 1000 equals 3.570 kilometers
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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

side = \frac{36}{\sqrt{3}}

Hence, area of the hexagon will be: 648\sqrt{3} square units

(24)

Given is the inradius of an equilateral triangle.

Inradius = \frac{\sqrt{3}}{6}*side

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

Side = 16 units

Area of equilateral triangle = \frac{\sqrt{3}}{4}*(side)^{2} = \frac{\sqrt{3}}{4}*256 = 64\sqrt{3} square units

4 0
3 years ago
Lucy's fish tank has 14 liters of water in it. She plans to add 5 liters per minute until the tank has at least 49 liters. What
Vikentia [17]

Answer:

Step-by-step explanation:

14 + 5t > = 49 (thats a greater then or equal sign)

5t > = 49 - 14

5t > = 35

t > = 35/5

t > = 7 <===

3 0
3 years ago
SOMEONE PLZ HELP ME WITH 10 and 8!!!!!
Allisa [31]

Answer:

10.23.75^{o}

8. 34.76^{o}

Step-by-step explanation:

10. each step is 36, so i added it twice to get 72.

     then add 16 twice = 32

      this gives us two sides to our triangle.

      We can now use tan since we know opp and adj

      tan 32/72 = .44

      arctan = 23.75

8. since we again know the opposite and adjacent sides to the angle e are trying to find we can use tan again.

  tan 12.5/18 = .694

  arctan= 34.76

5 0
2 years ago
√48m^4 n^3 p^4<br> simplify square roots
DedPeter [7]

Answer:

4m^2np^2√3n

Step-by-step explanation:

4 0
3 years ago
If the sales tax rate is 7.52% in California, then how much would you pay in Los Angeles for a coat that costs $120.00?
taurus [48]

Answer:

$129.02

Step-by-step explanation:

$120 multiplied by the sales tax 1.0752 = $129.024; Round .024 to the nearest tenths to get .02

7 0
3 years ago
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