Answer:
about 2949 feet
Step-by-step explanation:
The geometry of the situation can be modeled by a right triangle. The height of the cliff can be taken to be the side opposite the given angle, and the distance to the coyote will be the side adjacent to the given angle. The relation between these values is the trig function ...
Tan = Opposite/Adjacent
__
<h3>setup</h3>
Filling in the known values, we have ...
tan(6°) = (310 ft)/(distance to coyote)
<h3>solution</h3>
Multiplying by (distance to coyote)/tan(6°) gives ...
distance to coyote = (310 ft)/tan(6°) ≈ 310/0.105104 ft
distance to coyote ≈ 2949.453 ft
The coyote is about 2949 feet from the base of the cliff.
Answer:
Step-by-step explanation:
Parts of the question are missing.
y = a(x-h)² + k is a vertical parabola.
If a is positive, the parabola opens upwards.
If a is negative, the parabola opens downwards.
The vertex is at (h, k)
Answer:
Current price index number = 455
Step-by-step explanation:
Given:
Current cost of gasoline = $2.58 per gallon
1975 price of gasoline = 56.7 Cents = 56.7 / 100 = $0.567 per gallon
Find:
Current price index number = ?
Computation:
Current price index number = (Current cost / Reference cost) 100
Current price index number = ($2.58 / $0.567)100
Current price index number = (4.55)100
Current price index number = 455
Answer:
x=-1
Step-by-step explanation:
-7 < 3(x) + 5 ≤ 7
-7 < 3(-1) + 5 ≤ 7
-7 < -3 + 5 ≤ 7
-7 < 2 ≤ 7
