Answer:
5507.79 feet
Step-by-step explanation:
To find the height of the mountain, we can draw triangles as in the image attached.
Let's call the height of the mountain 'h', and the distance from the first point (31 degrees) to the mountain 'x'.
Then, we can use the tangent relation of the angles:
tan(34) = h/x
tan(31) = h/(x+1000)
tan(31) is equal to 0.6009, and tan(34) is equal to 0.6745, so:
h/x = 0.6745 -> x = h/0.6745
using this value of x in the second equation:
h/(x+1000) = 0.6009
h/(h/0.6745 + 1000) = 0.6009
h = 0.6009 * (h/0.6745 + 1000)
h = 0.8909*h + 600.9
0.1091h = 600.9
h = 600.9 / 0.1091 = 5507.79 feet
Answer:
yes; only one range value exists for each domain value.
Step-by-step explanation:
The x value don't repeat. Which is: -3, -1, 1, 5.
The distance between the two points is 22.14 units
<h3>How to determine the distance between the two points?</h3>
The endpoints of the line segment are given as
(4,9) and (11, -12)
This can be rewritten as
(x, y) = (4,9) and (11, -12)
The distance between the endpoints of the segment is then calculated using the following distance formula
distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Where
(x, y) = (4,9) and (11, -12)
Substitute the known values in the above equation, so, we have the following representation
Distance = √[(4 - 11)² + (9 + 12)²]
Evaluate
Distance = 22.14
Hence, the distance is 22.14 units
Read more about distance at
brainly.com/question/7243416
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Answer:
1/24 ≈ 4.2%
Step-by-step explanation:
P(head) = 1/2
P(4) = 1/6
P(2 heads and 4) = (1/2)² (1/6) = 1/24 ≈ 4.2%.