Answer:
x+14
Step-by-step explanation:
(12+x)+2
12+x+2
x+(12+2)
x+14
Answer: 19.4
Step-by-step explanation:
Given
Profit is given in terms of the selling price
to get the maximum price, differentiate y w.r.t x
Put 
to get maximum value
Thus, the company must sell it at 19.4
The question is find the height of the tree, given that at two points 65 feet apart on the same side of the tree and in line with it, the angles of elevaton of the top of the tree are 21° 19' and 16°20'.
1) Convert the angles to decimal form:
19' * 1°/60' = 0.32° => 21° 19' = 21.32°
20' * 1°/60' = 0.33° => 16° 20' = 16.33°
2) Deduce the trigonometric ratios from the verbal information.
You can form a triangle with
- horizontal leg x + 65 feet
- elevation angle 16.33°
- vertical leg height of the tree, h
=> trigonometric ratio: tan (16.33) = h /( x + 65) => h = (x+65) * tan(16.33)
You can form a second triangle with:
- horizontal leg x
- elevation angle 21.32°
- vertical leg height of the tree, h
=> trigonometric ratio: tan(21.32) = h / x => h = x * tan(21.32)
Now equal the two expressions for h:
(x+65)*tan(16.33) = x*tan(21.32)
=> x*tan(16.33) + 65*tan(16.33) = x*tan(21.32)
=> x*tan(21.32) - x*tan(16.33) = 65*tan(16.33)
=> x = 65*tan(16.33) / [ tan(21.32) - tan(16.33) ] = 195.73 feet
=> h = 195.73 * tan(21.32) = 76.39 feet.
Answer: 76.39 feet
The decimal equivalent is -4.666....
In order to find this, we need to start by just taking the whole number for itself.
-4.
Now we have to handle the fraction version. In order to do that, we need to do the division and turn into a decimal.
2/3 = .666...
Now we simply put them together and get our answer.
-4.666...
Answer:
11
Step-by-step explanation:
