Here you go, hope this kinda helps you out :)
Step-by-step explanation:
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The definition of the tangent function tells you
tan(angle) = (300 ft) / (distance to mountain)
This equation can be rearranged to
(distance to mountain) = (300 ft) / tan(angle)
For the far end of the river,
distance to far end = (300 ft) / tan(24°) ≈ 673.8 ft
For the near end of the river
distance to near end = (300 ft) / tan(40°) ≈ 357.5 ft
Then the width of the river can be calculated by finding the difference of these distances:
width of river = distance to far end - distance to near end
width of river = 673.8 ft - 357.5 ft
width of river = 316.3 ft
The appropriate answer choice is
316 ft.
Answer:
Step-by-step explanation:
The easiest and most proper way to approach this task is to combine like terms inside parentheses: (24x + 7 – 12x) => (12x + 7).
Then (1/4)(24x + 7 – 12x) = (1/4)(12x + 7). This is an acceptable answer. There is the option of carrying out the multiplication, which results in
3x + 7/4, which is another acceptable answer.
Answer:
2(x-5)(x+4)
Step-by-step explanation:
2x^2 − 2x − 40
Factor out a 2
2(x^2 -x -20)
What 2 numbers multiply to -20 and add to -1
-5*4 = -20
-5+4 = -1
2(x-5)(x+4)
