Drako found an emerald in a cave at a depth between -1/2 and -1 2/3 meters which number could represent the depth which the emer
ald is located
2 answers:
Answer:
meters
Step-by-step explanation:
From the answer choices, we basically need to find which of them is between and
<em>Converting all of them to decimals would make it really easier:</em>
<em />
<em>So we need to find number between -0.5 and -1.67</em>
<em />
<em>Answer choice A is -2.33</em>
<em>Answer choice B is -0.75</em>
<em>Answer choice C is -0.25</em>
<em>Answer chioce D is -1.83</em>
<em />
<em>So which number, from the choices, is between -0.5 & -1.67?</em>
Clearly, it is -0.75, or, meters
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The angle of elevation of 61° and 72° with the height of the tower being 553.3 m. gives Vic's distance from Dan as approximately 356 meters.
<h3>How can the distance between Vic and Dan be calculated?</h3>Location of Vic relative to the tower = South
Vic's sight angle of elevation to the top of the tower = 61°
Dan's location with respect to the tower = West
Dan's angle of elevation in order to see the top of the tower = 72°
Height of the tower = 553.3m
- Vic's distance from the tower ≈ 306.7 m
Similarly, we have;
- Dan's distance from the tower ≈ 179.8 m
Given that Vic and Dan are at right angles relative to the tower (Vic is on the south of the tower while Dan is at the west), by Pythagorean theorem, the distance between Vic and Dan <em>d </em>is found as follows;
- d = √(306.7² + 179.8²) ≈ 356
Therefore;
- Vic is approximately 356 meters from Dan
Learn more about Pythagorean theorem here:
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Answer:
The average velocity of the ball at the given time interval is -122.3 ft/s
Step-by-step explanation:
Given;
velocity of the ball, v = 34 ft/s
height of the ball, y = 34t - 26t²
initial time, t₀ = 3 seconds
final time, t = 3 + 0.01 = 3.01 seconds
At t = 3 s
y(3) = 34(3) - 26(3)² = -132
The average velocity of the ball in ft/s is given as;
Therefore, the average velocity of the ball at the given time interval is -122.3 ft/s
Answer:
Step-by-step explanation: