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balandron [24]
2 years ago
7

A circle is sometimes/always/never

Mathematics
1 answer:
grigory [225]2 years ago
4 0

A circle is always similar to another circle, because we can always map one onto the other using only dilations and rigid transformations.

Step-by-step explanation:

Two Circles are said to be similar if all the linear measurements of the circles are proportional.

Lets consider if  two circles have a certain ratio of their radii, , it definitely mean that  all the other corresponding ratios will also have that same ratio.

<u>Concentric circles are defined as the  circles which have a  common center. The area between the  two concentric circles having  difference in their  radii is Known  as annulus.</u>

<u></u>

The most important property of a circle is that all  points on the circle are equidistant (i.e. having the same distance) from the center point.

<u>A circle is always similar to another circle, because we can always map one onto the other using only dilations and rigid transformations.</u>

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Alenkasestr [34]

Answer:

0.36 = 36/100 = 9/25

so the simplest form is 9/25

3 0
2 years ago
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Find the length of the hypotenuse of this right angle
zvonat [6]

c^2 = 5^2 + 8^2 = 25 + 64 = 89

c = √89

Answer: c

4 0
3 years ago
In a survey of 300 house wires. It was discovered
ruslelena [56]

Answer:

46 housewives read all three magazines.

Step-by-step explanation:

Given:

        n(A) = 150

        n(B) = 200

        n(C) = 156

        n(A∩B) = 48

        n(B∩C) = 60

        n(A∩C) = 52

         n(A∪B∪C) = 300

so we know the relation as:

  n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) - n(A∩C) + n(A∩B∩C)

∴ n(A∩B∩C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) - n(A∩C)  - n(A∪B∪C)

                    = 150 + 200+ 156 - 48 - 60 - 52 - 300

                   = 46

Hence the number of housewives that had read all three magazine is 46.

8 0
3 years ago
PLEASE HELP ASAP!!!
barxatty [35]

Answers:

  • <u>24000 dollars</u> invested at 4%
  • <u>18000 dollars</u> was invested at 7%

======================================================

Work Shown:

x = amount invested at 4%

If she invests x dollars at 4%, then the rest (42000-x) must be invested at the other rate of 7%

She earns 0.04x dollars from that first account and 0.07(42000-x) dollars from the second account

This means we have

0.04x+0.07(42000-x)

0.04x+0.07*42000-0.07x

0.04x+2940-0.07x

-0.03x+2940

This represents the total amount of money earned after 1 year.

We're told the amount earned in interest is $2220, so we can say,

-0.03x+2940 = 2220

-0.03x = 2220-2940

-0.03x = -720

x = -720/(-0.03)

x = 24000 dollars is the amount invested at 4%

42000-x = 42000-24000 = 18000 dollars was invested at 7%

----------------------

As a check, we can see that

18000+24000 = 42000

and also

0.04x = 0.04*24000 = 960 earned from the first account

0.07*18000 = 1260 earned from the second account

1260+960 = 2220 is the total interest earned from both accounts combined

This confirms our answers.

7 0
3 years ago
How is writing expressions with variables and numbers similar to writing expressions using words?
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The expressions in which the numbers, or variables, or both, are connected by operational signs (+, - etc.) are called algebraic expressions. For example 5, 4x, a+b, x−y.

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