L=R*angle, but the angle *must* be in radians. So, just translate 43 degrees into radians: 43 * pi / 180, and you'll get:
L = 42 * ( 43 * pi / 180 ) ~ 31.504666, which rounded to the nearest hundredth is 31.50 cm.
I will mark brainlist please help
Story : A Dog’s Tale by Mark Twain
4. Read this sentence from the selection.
“Whenever she heard a large word she said it over to herself many times, and so was able to keep it until there was a dogmatic gathering in the neighborhood.”
In this sentence the word dogmatic is used as —
• an insightful simile
• a descriptive metaphor
• a humorous play on words
• an illuminating allusion
5. In the last paragraph the narrator says his mother would “fetch out a long word.” The connotations of the word fetch remind the reader that the narrator’s mother —
• is well educated
• is a dog
• knows lots of big words
• likes to show off
8. What is ironic about the author’s mother showing off with her knowledge of the word unintellectual?
• Her child knew she didn’t understand the word correctly.
• The strangers all already knew the meaning of the word.
• As any intellectual would know, the word should be “nonintellectual.”
• She did not know any synonyms for the word.
9. Which type of person is most like the author’s mother?
• A high-performing student with an excellent memory for words
• A very verbal person who always has a quick answer that sounds good
• A dishonest person who tells lies on a regular basis
• A person who likes dogs a lot and works at a veterinary clinic
Answer:
![Area = 49\frac{25}{36}](https://tex.z-dn.net/?f=Area%20%3D%2049%5Cfrac%7B25%7D%7B36%7D)
Step-by-step explanation:
Given
Tile
![Length = 4\frac{5}{6}](https://tex.z-dn.net/?f=Length%20%3D%204%5Cfrac%7B5%7D%7B6%7D)
![Width = 2\frac{1}{3}](https://tex.z-dn.net/?f=Width%20%3D%202%5Cfrac%7B1%7D%7B3%7D)
See attachment for dimension of the floor
Required
Determine the area covered by the carpet
From the attachment, the dimension of the floor is:
![Length = 12\frac{1}{4}](https://tex.z-dn.net/?f=Length%20%3D%2012%5Cfrac%7B1%7D%7B4%7D)
![Width = 5](https://tex.z-dn.net/?f=Width%20%3D%205)
Calculate Area
![Area = Length * Width](https://tex.z-dn.net/?f=Area%20%3D%20Length%20%2A%20Width)
![Area = 12\frac{1}{4} * 5](https://tex.z-dn.net/?f=Area%20%3D%2012%5Cfrac%7B1%7D%7B4%7D%20%2A%205)
![Area = 61\frac{1}{4}](https://tex.z-dn.net/?f=Area%20%3D%2061%5Cfrac%7B1%7D%7B4%7D)
The area of the tiles is:
![Area = 4\frac{5}{6} * 2\frac{1}{3}](https://tex.z-dn.net/?f=Area%20%3D%204%5Cfrac%7B5%7D%7B6%7D%20%2A%202%5Cfrac%7B1%7D%7B3%7D)
![Area = \frac{29}{6} * \frac{7}{3}](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B29%7D%7B6%7D%20%2A%20%5Cfrac%7B7%7D%7B3%7D)
![Area = \frac{203}{18}](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B203%7D%7B18%7D)
![Area = 11\frac{5}{18}](https://tex.z-dn.net/?f=Area%20%3D%2011%5Cfrac%7B5%7D%7B18%7D)
So, the carpet area is:
![Area = Floor\ Area - Tile\ Area](https://tex.z-dn.net/?f=Area%20%3D%20Floor%5C%20Area%20-%20Tile%5C%20Area)
![Area = 61\frac{1}{4} - 11\frac{5}{18}](https://tex.z-dn.net/?f=Area%20%3D%2061%5Cfrac%7B1%7D%7B4%7D%20-%2011%5Cfrac%7B5%7D%7B18%7D)
To improper number
![Area = \frac{245}{4} - \frac{208}{18}](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B245%7D%7B4%7D%20-%20%5Cfrac%7B208%7D%7B18%7D)
Take LCM
![Area = \frac{2205 - 416}{36}](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B2205%20-%20416%7D%7B36%7D)
![Area = \frac{1789}{36}](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B1789%7D%7B36%7D)
![Area = 49\frac{25}{36}](https://tex.z-dn.net/?f=Area%20%3D%2049%5Cfrac%7B25%7D%7B36%7D)
You want to isolate x. To accomplish this, add 1.4 to both sides of your eqn.:
x = 7.82 + 1.4 = 9.22 (answer)
Geometric sequences go up due to a common ratio. Here the common ratio can be worked out by dividing a term by its previous term e.g term 2 divided by term 1.
![18/3 = 6 ](https://tex.z-dn.net/?f=18%2F3%20%3D%206%0A)
Therefore the common ratio is 6.