Answer:
The distance to the top of the balloon is approximately 33.977 meters
Step-by-step explanation:
The (horizontal) distance from the hot air balloon from the observer, <em>l</em> = 30 m
The angle of elevation to the top of the balloon, θ = 28°
With the balloon standing upright, the distance to the top of the balloon, <em>d</em>, the height of the balloon, <em>h</em> and the horizontal distance to the balloon, <em>l</em>, form a right triangle, where;
d = The hypotenuse side
l = The leg adjacent to the reference (given) angle,
h = The leg opposite to the given angle, θ
By trigonometric ratios, we have;

From which we get;



The distance to the top of the balloon, <em>d </em>≈ 33.977 m
Step-by-step explanation:
A. part 1: $1.49 for 6 pencils
1 pencil would cost $1.49 / 6 = $0.24833(5s.f.) = $0.25 (nearest cent)
part 2: $4.60 for 20 pencils
1 pencil would cost $4.60 / 20 = $0.23
best value: part 2 (20pencil pack)
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For this problem all you have to do is plug in the value that they is in parenthesis for x. If it says g (x) = x and then it asks g(5) = ?, it is saying what happens if i put 5 in for every x. in this case it would be g (5) = 5. I just replaced x with 5.
So g (-2) we sub -2 for x
g (-2) = -2 (-2)^2 + 3 (-2) - 5
= -2 (4) - 6 - 5
= -19
g (0) = -2 (0) + 3 (0) - 5
= 0 + 0 - t
= -5
g (3) = -2 (3)^2 + 3 (3) - 5
= -18 + 9 - 5
= -14
The evaluation of 11/7 is 1 4/7, realy hope this helps.
To find the area of a parallelogram, multiply the base by the height. the formula is: A= Base times height where B is the base, and H is the height, and * means multiply. the base and height of a parallelogram must be perpendicular