Answer:
x= -7
Step-by-step explanation:
3 yards = 36*3 = 108 inches
-> total of width and length = 108/2 = 54 inches, because perimeter = 2*total of length and width.
=> length + width = 54 inches
and 6 ≤ width <span>≤ 12
=> all possible dimensions are:
6x48
7x47
8x46
9x45
10x44
11x43
12x42</span>
<span>x in (-oo:+oo)
(8/9)*x = (4/9)*x+8 // - (4/9)*x+8
(8/9)*x-((4/9)*x)-8 = 0
(8/9)*x+(-4/9)*x-8 = 0
4/9*x-8 = 0 // + 8
4/9*x = 8 // : 4/9
x = 8/4/9
x = 18
x = 18
</span>
Answer:
Height of the cliff = 13.66 m
Step-by-step explanation:
Let the height of the cliff is 'x' m and distance between the base of the cliff and the boat is 'y' m.
From right triangle AOC,
tan 30° = 
y = 
------(1)
From right angle triangle BOC,
tan 45° = 
x = y - 10
y = x + 10 -------(2)
From equations (1) and (2),
x = 13.66 m
Therefore, height of the cliff is 13.66 m.
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This site will tell what are sines as well as your question for what sine B is
