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Umnica [9.8K]
3 years ago
8

Write 0.725 as a fraction in its simplest form

Mathematics
2 answers:
VikaD [51]3 years ago
5 0

First, you want to write 725 as the numerator of the fraction because that is what the number reads after the decimal point. For the denominator of the fraction, we will put 1,000 because there are 3 numbers that appear after the decimal point so we can put 3 zeroes and put a 1 in front of it.

The fraction 725/1000 is not in lowest terms.We can divide both the numerator and the denominator by 5 and we will get 145/200.

The fraction can still be reduced so we can divide both the numerator and the denominator by 5 again and we will get our simplified fraction which is 29/40.

Kaylis [27]3 years ago
3 0
To convert any decimal number into a fraction simply divide it by 1 and follow it with as many zeros as there are numbers after the decimal point.
In this case we will divide 0.725 by 1000  (three digits <725> after the decimal point)

0.725÷1000 = 5/8

if for example you had 0.75 and had to convert it into fractions, you would divide it by 100 (because only two digits after the decimal point)
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If 5/12 visitors are adults and 3/10 were men what fraction were men?
Zigmanuir [339]

You need to do the following equation:


(5/12)*(3/10)


5*3=15

12*10=120


15/120=5/40 of the adults who visited were men.


6 0
3 years ago
Identify the transformations y = |x| ‐ 6
siniylev [52]
Thé transformation is that the function moved 6 units down
4 0
2 years ago
Solve ln(6x-1) = -4 for x
Reika [66]

Answer: Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x

=

−

1

2

Decimal Form:

x

=

−

0.5

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
I need to find the perimeter and area of the regular polygon.
mezya [45]
The area of a polygon is given by the formula Area = ap/2 where a is the length of the apothem and p is the perimeter. The apothem is a line from the center of the polygon perpendicular to a side.

Depending on the formula you know, you can find the length of a side in 1 of 2 ways. 

The first way uses a triangle. Using the radius of the polygon you can create 8 congruent triangles. The center angle will be 360 / 8 = 45 and two side lengths of 20. You can find the length of the base using the law of cosines.

c^2 = 20^2 + 20^2 - 2(20)(20)(cos 45)
c^2 = 400 + 400 - 800(cos 45)
c^2 = 800 - 800(cos 45)
c = sqrt(800 - 800(cos 45)
c = 15.31

The second way is to use this formula:
r = s / (2 sin(180 / n))
20 = s / (2 sin(180/8)
(20)(2)sin(22.5) = s
(40)sin(22.5) = s
s = 15.31

We need to calculate the perimeter. As there are 8 sides (8)(15.31) = 122.48
Now we need to calculate the apothem using

a = S / (2 tan (180 / n)
a = 15.31 / (2 tan (180 / 8))
a = 18.48

Now solve for the area

Area = ap/2
Area = (18.48)(122.48)/2
Area = 1131.72

perimeter = 122.48
area = 1131.72
7 0
3 years ago
Given the graph, find the distance of GH. Round to the nearest tenth.
lord [1]

Answer:

GH = 6.3 units

Step-by-step explanation:

Assuming that 1 box represents 1 unit, the coordinate pair of G = (-2, -3), while H = (0, 3).

Distance between G and H = d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Let,

G(-2, -3) = (x_1, y_1)

H(0, 3) = (x_2, y_2)

GH = \sqrt{(0 - (-2))^2 + (3 - (-3))^2}

GH = \sqrt{(2)^2 + (6)^2}

GH = \sqrt{4 + 36} = \sqrt{40}

GH = 6.3 units (nearest tenth)

5 0
3 years ago
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