1,2,3,6,7,14,21,42 that's the factors
Answer:
Statements 2 and 3.
Step-by-step explanation:
The first statement is impossible since you cannot have half a person. The last statement is also incorrect, because it would imply that the total number of students in the class is -29. The second statement is correct, if you assume that x and y represent either the number of male or female students. The third statement is possible, and the numbers add up to 29. Finally, the fourth statement is impossible because it would imply that the class had negative male students. Hope this helps!
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
Let us say that the number of weeks is "x" and the number of chores is "y".
If we state an algebraic expression for Janie's allowance it would be
3x+2y=13
However, there are two variables, hence many answers. To solve this problem, there must be more information about the relation between x and y.
