Answer:
69 feet
Step-by-step explanation:
3 seconds is a unit of time, t. So if we want the height of the ball, h, 3 seconds after it was kicked, we plug in 3 for t and solve for h:
which simplifies to
h = 3 + 210 - 144 so
h = 69 feet
The value of the angle ∠AVB is 53°, side VB = 132.83 m, side OV = 119 m
<h3>How to find the side length from bearings?</h3>
8) From the given triangle we see that;
∠VAO = 37°
∠VBO = 64°
∠VOA = 90°
a) Now, we know that sum of angles in a triangle is 180°. Thus, for triangle AVO, we can say that;
∠VAO + ∠VOA + ∠AVB = 180°
37 + 90 + ∠AVB = 180°
∠AVB = 180° - 127°
∠AVB = 53°
b) Using triangle rules we can say that;
tan 64 = VO/BO
Similarly, we can say that;
tan 37 = VO/(100 + BO)
Dividing both equations gives;
tan 64/tan 37 = (100 + BO)/BO
2.72BO = 100 + BO
1.72BO = 100
BO = 58.14 m
Using trigonometric ratio;
58.14/VB = cos 64
VB = 132.83 m
c) OV/132.83 = sin 64
OV = 132.83 * sin 64
OV = 119 m
Read more about Side lengths from bearings at; brainly.com/question/23427938
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Answer:
B & C
Step-by-step explanation:
since (2x - 5)(x - 4) = 0
to solve, it would be
(2x -5) = 0 or (x -4) = 0
Answer:
k= 60
Step-by-step explanation:
The angles are alternate exterior angles and alternate exterior angles are equal when the lines are parallel.
2k+11 = 131
Subtract 11 from each side
2k+11-11 =131-11
2k =120
Divide by 2
2k/2 =120/2
k = 60
Since your second pick is affected by your first pick & your third pick is affected by the first two, it is dependent.
First pick: 18 marbles, 3 are red, so odds are 3/18 = 1/6
Second pick: 17 marbles, 8 are blue, odds are 8/17
Third pick: 16 marbles, 7 are black, odds are 7/16
<span>1/6 * 8/17 * 7/16 = 56/1632 = 7/204 & as mentioned before it's dependent</span>
