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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x - 4 = 0
x = 4
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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.
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Answer:
by the definition of congruence.
Step-by-step explanation:
for plato
What is the eighth term of the arithmetic sequence defined by the rule A(n) = -12 + 2(n-1)?
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Answer:
82041000
Step-by-step explanation:
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4. This diagram is a straightedge and compass construction of a line perpendicular to line AB passing through point C. Which segment has the same length as segment EA.
a. EC
b. ED
C. BE
d. BD
Answers
Answer:
Segment ED has the same length as EA
The line segment which is equal to EA is ED. Therefore, option B is the correct answer.
In the given diagram, a line perpendicular to line AB passes through point C.
What is the tangent to the circle?A tangent to a circle is a line which intersects the circle at only one point. The common point between the tangent and the circle is called the point of contact.
The length of two tangents drawn from an external point to a circle is equal.
From the given figure we can see there are three circles, two large circles and one small circle.
Line segment EA is tangent to a small circle.
The line segment which is equal to EA is ED because ED is another tangent to a small circle from the same external point.
The line segment which is equal to EA is ED. Therefore, option B is the correct answer.
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which relation is a function? PLEASE HELPPPPP
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Step-by-step explanation:
in the first
x =2y
actually I don't think that I can get the last two relations
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Check the picture below.
What is the answer to the following question?
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Answer:
SAS similarity
Step-by-step explanation:
You have two side ratios and the angle between the sides with those ratios. The appropriate similarity theorem is SAS.
Please help me on this!!! I’d really appreciate it!!!
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Answer:
B
Step-by-step explanation:
given the equation f(x)=-2x²+4x+6 find the average rate of change from x=1 and x=2
Answers
Answer:
16
Step-by-step explanation:
1) Plug x=1 into equation
f(x) = -2(1)²+4(1)+6
f(x) = -2²+4+6
f(x) = 4+4+6
y = 14
(1,14)
2) Plug in x=2 into equation
f(x) = -2(2)²+4(2)+6
f(x) = -4²+8+6
f(x) = 16+8+6
y = 30
(2,30)
3) Use slope formula ([tex]\frac{y2-y1}{x2-x1}[/tex])
[tex]\frac{30-14}{2-1}[/tex]
[tex]\frac{16}{1}[/tex]
16
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Answer:
Yes.
Step-by-step explanation:
I had a problem just like this and you are correct.
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Answers
The graph of each of the inequalities are created using a graphing tool as follows;
Graph 1; x ≥ (y + 3)² + 1
The domain = 1 ≤ x ≤ ∞
The range = -∞ < y < ∞
Graph 2; x ≤ (y + 3)² + 1
The domain = -∞ ≤ x ≤ ∞
The range = -∞ < y < ∞
Graph 3; x ≥ (y - 3)² + 1
The domain = 1 ≤ x ≤ ∞
The range = -∞ < y < ∞
Graph 4; x ≤ (y - 3)² + 1
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The range = -∞ < y < ∞
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Answer:
c or x ≥ (y-3)^2+1
Step-by-step explanation:
What is 1.8 added 8 times? (IF YOU CAN PLS DO IT IN EXPLANATION) and this is about decimals and pls do it in grade five type, bc I won't be able to understand anything too big for me, example: (e^(4^(2)
Thank you
Answers
Answer:
14.4
Step-by-step explanation:
1.8 added 8 times = 1.8 * 8
1.8 * 8
use distributive property
1.8 = 1 + 0.8
1.8 * 8 = (1+0.8) * 8
= 1*8 + 0.8*8
anything multiplied by 1 equals itself
1*8 + 0.8*8 = 8 + 0.8 * 8
0.8 = 8/10
0.8 * 8 = (8/10) * 8
= 64/10
= 6.4
8 + 0.8 * 8 = 8 + 6.4 = 14.4 as our answer
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Answer:
2
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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Answer:
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The question I assume you are talking about is in the image.
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Answers
Answer:
223454353.000000000000000000
Step-by-step explanation:
A refrigeration system of 60 kW capacity at an evaporator temperature of – 40°C and a condenser temperature of 20°C is needed in a food storage locker. The refrigerant R134a is sub-cooled by 10°C before entering the expansion valve. The vapour is 0.98 dry as it leaves the evaporator coil. The compression in the compressor is of adiabatic type.
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Answers
Answer:
60%
Step-by-step explanation:
216/360 = 0.6
0.6 *100 = 60
60%
The percent of the marbles did Elizabeth give away is 60%.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, Elizabeth buys a package of 360 marbles and she gives away 216 of the marbles.
Now, the percentage is 216/360 ×100
= 0.6×100
= 60%
Therefore, the percent of the marbles Elizabeth give away is 60%.
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Step-by-step explanation:
See attachment.
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Step-by-step explanation:
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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:
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Answer:
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Step-by-step explanation:
May has 10 sticker sheets with 8 stickers each and 15 pages with y stickers each. How many stickers does she have total.
A. (10 x 8) + (15y)
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Answer:
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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.
It is given that both windows are similar. The corresponding sides of similar figures are proportional.
\frac{5}{9.6}=\frac{8}{h}
9.6
5
=
h
8
5h=8\times 9.65h=8×9.6
5h=76.85h=76.8
Divide both sides by 5.
h=\frac{76.8}{5}=15.36h=
5
76.8
=15.36
Therefore the height of the larger window is 15.36 units.
please help fast fast fast
Answers
Answer:
the answer is
[tex]the \: answer \: is \: b[/tex]