PLz help! Help me with number 6!
2 answers:
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Answer:
382.925 feets
Step-by-step explanation:
The solution diagram is attached below :
Converting radian measurement to degree :
radian angle * 180/π = degree angle
1.2 * 180/π = 68.755°
0.9 * 180/π = 51.566°
Height of dam is h:
Using trigonometry :
Tan θ = opposite / Adjacent
Tan 68.755° = h / x
h = x Tan 68.755° - - - (1)
Tan 51.566° = h / (155+x)
h = (155+x) tan 51.566° - - - (2)
Equate (1) and (2)
x Tan 68.755 = (155+x) Tan 51.566
x Tan 68.755 = 155tan 51.566 + x tan 51.566
x Tan 68.755 = 195.32311 + x Tan 51.566
x Tan 68.755 - x Tan 51.566 = 195.32311
x(tan 68.755 - tan 51.566) = 195.32311
x * 1.3120110 = 195.32311
1.3120110x = 195.32311
x = 195.32311 / 1.3120110
x = 148.87307
Using :
h = x Tan 68.755
h = 148.87307 * tan(68.755)
h = 382.92539
h = 382.925 feets
Answer:
<u>The greatest depth of the Southern Ocean is 7.24 kilometers</u>
Correct statement, question and data:
The table shows the greatest depths of four of the five oceans in the world. If the average greatest depth is 8.094 kilometers, what is the greatest depth of the Southern Ocean?
Please see the table attached.
Source:
Question that can be found at mathpractice101
Step-by-step explanation:
Let's answer the question, this way:
Depth of the Southern Ocean = x
For solving x, we have:
(10.92 + 9.22 + 7.46 + 5.63 + x)/5 = 8.094
10.92 + 9.22 + 7.46 + 5.63 + x = 40.47 (Multiplying by 5 at both sides)
33.23 + x = 40.47
x = 40.47 - 33.23 (Subtracting 33.23 at both sides)
<u>x = 7.24</u>
<u>The greatest depth of the Southern Ocean is 7.24 kilometers</u>
f(x) = 2x^2 - x - 10
Part A:
x-intercepts: (-2,0), (5/2,0)
Part B:
The vertex is the minimum
vertex: (1/4, -81/8)
Part C:
A:
x: -2, -1, 1/4, 1, 2
y: 0, -7, -81/8, -9, -4
B:
