Problems continue to arise in Kitty Nation but Hello Kitty has regained control of the country. She comes to see that popular dislike for the own measurement standard led to the revolt. She decides to change the standard so that such a terrible catastrophe never befalls Kitty Nation ever again. The standard for measurement of length in Kitty Nation is now 5 lenthii = 28 inches and 5 gianthii = 394.2 lenthii. If a design to be sent to Kitty Nation is 257.0 feet long, how many centigianthii long will it be? (Note: centi is an SI prefix, include units)
257 ft * 12in/ft * 5lenthii/28in * 5gianthii/394.2lenthii = 6.9852 giganthii
so, 698.52 centigianthii
To solve this problem, we need to convert the given measurement in feet to the desired unit of centigianthii.
First, let's convert 257.0 feet to inches. Since we know that 1 foot is equal to 12 inches, we can multiply the given measurement by 12:
257.0 feet * 12 inches/foot = 3084 inches
Now that we have the measurement in inches, let's convert it to lenthii. According to the given information, 5 lenthii is equal to 28 inches. Therefore, we can set up a proportion:
5 lenthii / 28 inches = x lenthii / 3084 inches
Cross-multiplying, we have:
5 lenthii * 3084 inches = 28 inches * x lenthii
15420 inches = 28x lenthii
Now, let's solve for x by dividing both sides of the equation by 28:
(15420 inches) / 28 = x lenthii
550.7142857 = x lenthii (rounded to 9 decimal places)
So, the given design is approximately 550.7142857 lenthii long.
Next, we need to convert lenthii to centigianthii. According to the given information, 5 gianthii is equal to 394.2 lenthii. Therefore, we can set up another proportion:
5 gianthii / 394.2 lenthii = x centigianthii / 550.7142857 lenthii
Cross-multiplying, we have:
5 gianthii * 550.7142857 lenthii = 394.2 lenthii * x centigianthii
2753.5714285 lenthii = 394.2 lenthii * x centigianthii
Now, let's solve for x by dividing both sides of the equation by 394.2 lenthii:
(2753.5714285 lenthii) / (394.2 lenthii) = x centigianthii
x = 6.981955 (rounded to 6 decimal places)
Therefore, the design sent to Kitty Nation will be approximately 6.981955 centigianthii long.
To convert feet to centigianthii using the given measurement standards in Kitty Nation, we need to determine the appropriate conversion factors.
First, let's convert feet to inches:
1 foot = 12 inches
Therefore, the design length of 257.0 feet is equal to:
257.0 feet * 12 inches/foot = 3084 inches
Next, we need to convert inches to lenthii:
1 lenthii = 28 inches
So, the design length of 3084 inches is equivalent to:
3084 inches / 28 inches/lenthii = 110.14 lenthii
Now, let's convert lenthii to gianthii:
1 gianthii = 394.2 lenthii
Therefore, the design length of 110.14 lenthii is equal to:
110.14 lenthii / 394.2 lenthii/gianthii = 0.2796 gianthii
Finally, we need to convert gianthii to centigianthii, using the SI prefix "centi" which represents a factor of 1/100:
1 gianthii = 100 centigianthii
Hence, the design length of 0.2796 gianthii is equivalent to:
0.2796 gianthii * 100 centigianthii/gianthii = 27.96 centigianthii
Therefore, the design to be sent to Kitty Nation would be 27.96 centigianthii long.