From a hot-air balloon, Mariana measures a 40° angle of depression to a landmark that's 1165 feet away, measuring horizontally. What's the balloon's vertical distance above the ground? Round your answer to the nearest hundredth of a foot if necessary.
Answers
Here is the set up:
Let h = balloon's vertical distance.
sin(40°) = h/1165
sin(40°)(1165) = h
748.847565
748.85 feet = h
Done.
The balloon's vertical distance above the ground is 1388.40 feet to the nearest hundredth.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
From a hot-air balloon,
Mariana measures a 40° angle of depression to a landmark that's 1165 feet away, measuring horizontally.
Let h be the vertical distance.
Use tanθ = perpendicular / base
Here, perpendicular = 1165 feet and base = h and θ = 40°
Substituting the values,
tanθ = perpendicular / base
tan40° = 1165 / h
h = 1165 / tan40
h = 1165 / 0.839095
h = 1388.40059 feet.
h ≈ 1388.40 feet to the nearest hundredth.
Therefore, vertical distance is 1388.40 feet
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Step-by-step explanation:
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Set denominator to zero and solve for x.
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Step-by-step explanation:
given the equation f(x)=-2x²+4x+6 find the average rate of change from x=1 and x=2
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Step-by-step explanation:
1) Plug x=1 into equation
f(x) = -2(1)²+4(1)+6
f(x) = -2²+4+6
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y = 14
(1,14)
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f(x) = -2(2)²+4(2)+6
f(x) = -4²+8+6
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Nadia is a stockbroker. She earns 12% of commission each week. Last week, she sold 4,500 worth of stocks. How much did she make last week in commission? If she averages that same amount each week, how much did she make in commission in 2011?
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
60%
Step-by-step explanation:
216/360 = 0.6
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60%
The percent of the marbles did Elizabeth give away is 60%.
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Given that, Elizabeth buys a package of 360 marbles and she gives away 216 of the marbles.
Now, the percentage is 216/360 ×100
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= 60%
Therefore, the percent of the marbles Elizabeth give away is 60%.
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the two windows shown are similar. What is the height of the larger window?
Answers
Answer:
The height of the larger window is 15.36 units.
Step-by-step explanation:
Let the height of the larger window be h.
The width and height of smaller window are 5 and 8 respectively.
The width and height of smaller window are 9.6 and h respectively.
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Answers
The graph of each of the inequalities are created using a graphing tool as follows;
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The range = -∞ < y < ∞
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Answer:
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End of semester geometry Semester A question 6
Select the correct answer.
Given:
Prove:
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What step is missing from this proof?
A.
is supplementary to by the transitive property.
B.
by the definition of supplementary angles.
C.
by the definition of congruence.
D.
by the linear pair theorem.
Answers
Answer:
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Step-by-step explanation:
for plato
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Answer:
14.4
Step-by-step explanation:
1.8 added 8 times = 1.8 * 8
1.8 * 8
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1.8 = 1 + 0.8
1.8 * 8 = (1+0.8) * 8
= 1*8 + 0.8*8
anything multiplied by 1 equals itself
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
B
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Leah uses 1/4 cup of chocolate chips for 2/3 cups of batter, so if Leah uses 3/4 cup of chocolate chips, she should use 2 cups of batter.
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Answers
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