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Talja [164]
3 years ago
6

if two circles have circumference of 12 pi inches and 18 pi inches,find the ratio between their radii

Mathematics
1 answer:
djverab [1.8K]3 years ago
8 0
The formula for the circumference is:
2\pi r
So to find first radius:
2\pi r = 12\pi \\  \\ \pi r = 6\pi \\  \\ r = 6
Second radius:
2\pi r = 18\pi \\  \\ \pi r = 9\pi \\  \\ r = 9
The ratio between them is:
\frac{6}{9}  =  \frac{2}{3}  = 0.66667
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The 5th of 9 consecutive whole numbers whose sum is 153 is?
sergejj [24]

We can start this problem by finding out what the lowest consecutive number's value is (x). Since consecutive numbers are numbers that are 1 apart from each other, the sum of 9 consecutive numbers would look like


x + (x+1) + (x+2) + (x+3) + (x+4) + (x+5) + (x+6) + (x+7) + (x+8)


Since we know that they equal 153,


x + (x+1) + (x+2) + (x+3) + (x+4) + (x+5) + (x+6) + (x+7) + (x+8) = 153


Now we combine like terms


9x + 36 = 153


Simplify


9x = 117


x = 13


Now, we need to find what the 5th consecutive number is equal to. The fifth consecutive number is (x+4), so 13 + 4 is 17, meaning that the 5th of 9 consecutive numbers that add up to 153 is 17.

4 0
3 years ago
Read 2 more answers
Find the missing variables pythagorean theorem
worty [1.4K]

Answer:

y = 12     x = 12√2     z  = 12√3

Step-by-step explanation:

The 45° triangle will also have a height of y so....

    y² + y² = x²          2y²  = x²     y² = x²/2       y = √(x²/2)

The 30°  triangle

    y² + z² = 24²                          y² = 24² - z²          y = √(24² - z²)

                               

sin 30 = y/24          1/2 = y/24      y = 12    

          y² = x²/2

         12² = x²/2²

    2(144)  = x²         x = √(288)       x = 12√2  

      y² + z² = 24²

           z² = 24² - y²

           z² = 24² - 12²

           z² = 576 - 144

            z² = 432      

                =  √(16·9·3)

            z  =  4·3√3

            z  = 12√3

     y² + z² = 24²

    12² + (12√3)² = 24²

    144 + 144·3    =   576

     2y²  = x²

     2(12)²  = x²

      288  =  (12√2)  = 144·2  = 288

5 0
3 years ago
What is the result of subtracting the second equation from the first?<br> -2x+y=0<br> 7x+3y=2
ikadub [295]

Answer:

5x -2y = -2

Step-by-step explanation:

-2x+y=0

-7x+3y=2

Subtract the second equation from the first

-2x+y=0

7x-3y=-2

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

5x -2y = -2

4 0
3 years ago
What are the three major responsibilities of the county sheriff? (Site 1)
UNO [17]

Answer:1. They make policies

2. They perform executive duties

3. They plan environmental and land use policy

Step-by-step explanation:

3 0
3 years ago
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What is the product of the complex numbers (3 + i) and<br> (3 - i)?
dedylja [7]

Answer:

\left(3+i\right)y\left(3-i\right)=10y

Step-by-step explanation:

\left(3+i\right)y\left(3-i\right)

\left(3+i\right)\left(3-i\right)y

=y\cdot \:10

=10y

5 0
2 years ago
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