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
Step-by-step explanation:
2-×^2
t(×)=3×
(s o t )(x)=st(×)=s(t(x))=2-(3×)^2=2-9x^2
(s o t)(-7) =2-9(-7)^2=2-9(49)= 2-441= -439
Answer:
When answering this, you need to look at the equation. It has a Y-intercept of 3. Just by seeing that, you can tell the last graph is the right answer.
Step-by-step explanation
Y-intercept is +3 which means it the line crosses the y axis at positive 3.
x²-3
Step-by-step explanation:
The expression given is;
6x²-18
Finding the greatest common factor of the terms and simplifying the expression will be;
Divide the terms by 6 to get;
x²-3
Graphing the expression to find the area model will be as attached;
Learn More
Factorizing expressions:brainly.com/question/12290978
Keywords : factor, greatest common factor, terms, area model
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5 with some change left over.
