The height of statue is 12.2 inches in Troy's drawing.
Step-by-step explanation:
Given,
Actual height of statue = 305 feet
Scale used by Troy;
25 feet = 1 inch
1 feet = ![\frac{1}{25}\ inches](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B25%7D%5C%20inches)
305 feet = ![\frac{1}{25}*305 \ inches](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B25%7D%2A305%20%5C%20inches)
305 feet = ![\frac{305}{25}\ inches\\](https://tex.z-dn.net/?f=%5Cfrac%7B305%7D%7B25%7D%5C%20inches%5C%5C)
305 feet = 12.2 inches
The height of statue is 12.2 inches in Troy's drawing.
Keywords: unit rate, division
Learn more about unit rate at:
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The next three terms of -243, 81, -27, 9 is
The given series is geometric series
<u>Solution:</u>
Given, series is -243, 81, -27, 9, …
We have to find the next three terms of the above given series.
Now, the given series can also be written as
![-243,-243 \times\left(\frac{-1}{3}\right)^{1},-243 \times\left(\frac{-1}{3}\right)^{2},-243 \times\left(\frac{-1}{3}\right)^{3}](https://tex.z-dn.net/?f=-243%2C-243%20%5Ctimes%5Cleft%28%5Cfrac%7B-1%7D%7B3%7D%5Cright%29%5E%7B1%7D%2C-243%20%5Ctimes%5Cleft%28%5Cfrac%7B-1%7D%7B3%7D%5Cright%29%5E%7B2%7D%2C-243%20%5Ctimes%5Cleft%28%5Cfrac%7B-1%7D%7B3%7D%5Cright%29%5E%7B3%7D)
We can say that, above series is in Geometric Progression with first term = -243 and common ratio = ![\frac{-1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B-1%7D%7B3%7D)
Then, next three term would be,
![-243 \times\left(\frac{-1}{3}\right)^{4},-243 \times\left(\frac{-1}{3}\right)^{5},-243 \times\left(\frac{-1}{3}\right)^{6} \rightarrow-3,1, \frac{-1}{3}](https://tex.z-dn.net/?f=-243%20%5Ctimes%5Cleft%28%5Cfrac%7B-1%7D%7B3%7D%5Cright%29%5E%7B4%7D%2C-243%20%5Ctimes%5Cleft%28%5Cfrac%7B-1%7D%7B3%7D%5Cright%29%5E%7B5%7D%2C-243%20%5Ctimes%5Cleft%28%5Cfrac%7B-1%7D%7B3%7D%5Cright%29%5E%7B6%7D%20%5Crightarrow-3%2C1%2C%20%5Cfrac%7B-1%7D%7B3%7D)
Hence, the next three terms of given G.P series are
Answer:
A) a = 25
B) b = 14
Step-by-step explanation:
hopefully this helps :)
Answer:
It is the answer to a division problem.
Step-by-step explanation:
Just like there is a sum for addition, a difference for subtraction, and a product for multiplication.