Answer:the height of the balloon is 670.244 feet
Step-by-step explanation:
The right angle triangle BLD represents the scenario.
h represents the height of the balloon.
We would apply trigonometric ratio to determine h.
Tan # = opposite side/adjacent side
Looking at triangle LCD,
# = 61 degrees
h = opposite side
x = adjacent side
Tan 61 = h/x
1.7321 = h/x
h = 1.7321x
Looking at triangle LBD,
# = 54 degrees
h = opposite side
x + 100 = adjacent side
Tan 54 = h/x + 100
1.3764 = h/x + 100
h = 1.3764(x + 100)
Therefore,
1.7321x = 1.3764(x + 100)
1.7321x = 1.3764x + 137.64
137.64 = 1.7321x - 1.3764x
137.64 = 0.3557x
x = 137.64/0.3557 = 386.955
h = 1.7321x = 386.955 × 1.7321
h = 670.244 feet
The answer would be B. -2 < x < 2 because if you look at the graph, the range would be left and right. So, the farthest to the left would be -2 and the farthest to the right would be 2.
It wouldn't be all real numbers.
<em>Hope this helps! - from peachimin</em>
Answer:
30t - 4
Step-by-step explanation:
Remember to follow PEMDAS. First, distribute -6 to all terms within the parenthesis:
2 -6(-5t + 1) = 2 + (-6 * -5t) + (-6 * 1)
2 + (30t) + (-6) = 2 + 30t - 6
Simplify. Combine like terms:
2 + 30t - 6 = 30t + (-6 + 2) = 30t - 4
30t - 4 is your answer.
~
m = -9!
Proof:
![6=-\frac{2}{3}m\\\\[Multiply by 3 to cancel the fraction, the result is]\\\\6(3)=-2m\\18=-2m\\\\[Now divide by -2 to get your answer]\\\\m = -9](https://tex.z-dn.net/?f=6%3D-%5Cfrac%7B2%7D%7B3%7Dm%5C%5C%5C%5C%5BMultiply%20by%203%20to%20cancel%20the%20fraction%2C%20the%20result%20is%5D%5C%5C%5C%5C6%283%29%3D-2m%5C%5C18%3D-2m%5C%5C%5C%5C%5BNow%20divide%20by%20-2%20to%20get%20your%20answer%5D%5C%5C%5C%5Cm%20%3D%20-9)
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Answer:
14.77
Step-by-step explanation:
Are you not able to use a calc? I can sketch out the long division if you need it!
