Some decimals between 0.55 and 0.56 are 0.551, 0.552, 0.553, 0.554, 0.556, 0.557, 0.558, 0.559.
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Answer:
∅ ≈ 56.31°
Step-by-step explanation:
The bird is spotted flying 6000 ft from a tower . The distance of the tower from the bird is 6000 ft. The height of the tower is 9000 ft because the observer spot the distance from the top of the tower at a distance of 9000 ft.
The illustration forms a right angle triangle. The adjacent side of the triangle is 6000 ft and the height or opposite side of the triangle is 9000 ft. Using tangential ratio the angle of depression from the bird to the observer can be found as follows.
Let
∅ = angle of depression
tan ∅ = opposite/adjacent
tan ∅ = 9000/6000
tan ∅ = 1.5
∅ = tan⁻¹ 1.5
∅ = 56.309932474
∅ ≈ 56.31°
Answer:
Step-by-step explanation:
The formula for this is the one we use when we are given the ratio the directed line segment is separated into as opposed to the point being, say, one-third of the way from one point to another. The 2 equations we use to find the x and y coordinates of this separating point are:
and 
where x1, x2, y1, y2 come from the coordinates of A and B, and a = 1 (from the ratio) and b = 2 (from the ratio). Filling in for x first:
and then y:
The coordinates of point E, then, are (0, 1).
Answer:
<em>Both players will need to play 7 more games to have the same score.</em>
Step-by-step explanation:
Will makes 18 points per game and Tom makes 21 points per game. Will has a total of 483 points and Tom has 462 points.
We have to calculate the number of games Tom and Will need to play for them to have the same number of points. Since Tom makes more points per game, we're sure it will eventually happen.
Let's call x to the number of games that both players will play. Will will have a number of points equal to:
W = 483 + 18x
And Tom will have:
T = 462 + 21x
For both number of games to be equal, the equation to solve is:
483 + 18x= 462 + 21x
Move 18x to the right side and 462 to the left side:
483 - 462 = 21x - 18x
Operating:
21 = 3x
x = 21 / 3 = 7
Thus, both players will need to play 7 more games to have the same score.
Answer:
yes
step-by-step explaination
