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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Related Questions
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
please help fast fast fast
Answers
Answer:
the answer is
[tex]the \: answer \: is \: b[/tex]
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.
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?
Answers
Answer:
540 last week
52X540.=$28,080 a year
Step-by-step explanation:
Find the 57th term of the arithmetic sequence -13,-29,-47,….
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Answer:
answer -909 photo with solution is attached
y=5/9x+9, find the slope
Answers
What is the answer to the following question?
Answers
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.
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Check the picture below.
-6 • f(-3) - 5 • g(-7) =
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Answers
Simplify each term.
Answer:
18f+35g
Step-by-step explanation:
Negative six times negative three will be equivalent to positive f, as negative negative five times negative seven equals thirty-five.
How to find domain of (1/x-3)(x^2-x-12)
Answers
Set denominator to zero and solve for x.
x^2 - x - 12 = 0
Factor.
(x - 4)(x + 3) = 0
Solve each factor for x.
x - 4 = 0
x = 4
x + 3 = 0
x = -3
Answer:
The domain is ALL REAL NUMBERS except for x = 4 and x = -3.
Which number line represents the number 0.7
Answers
Answer:
What number like?
Answer: The answer is C.
The question I assume you are talking about is in the image.
Assume running consumes 95 cal per mile. If you run 9- minute miles, what is your average power output in watts
Answers
95/9= about 10.5 cal/min
1 cal= 4.2J/S
(10.5 x 4.2)/60= 0.735 watts
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
In solving the following system of equations, how many equations do you need to multiply in order to use the method of elimination?
Equation 1: −5x−20y=−15 Equation 2: 2x + 8y = 6
A. Two
B. None
C. One
Give the solution to the system above
A. No solution
B. (3, 7)
C. IMS
D. ( -2, 5)
Answers
Answer:
a and d i think
Step-by-step explanation:
What are the odds of choosing a blue marble from a bag that contains two blue marbles, one green marble and four red marbles?
Answers
Answer:
1/3
Step-by-step explanation:
2 blue 1 green 4 red
End of semester geometry Semester A question 6
Select the correct answer.
Given:
Prove:
By the linear pair theorem, is supplementary to . Since , by the definition of congruence, . Applying the substitution property of equality, . Simplifying the equation, .
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:
by the definition of congruence.
Step-by-step explanation:
for plato
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Answers
Answer:
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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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Step-by-step explanation:
in the first
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Answers
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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)
B 10 x ( 9 + 15 + y)
C. 10 + 8 + 15 + y
D, (10 x 15) + (8y)
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Answer:
A
Step-by-step explanation:
To make cupcakes Leah uses 1/2 cup of chocolate chips for evry 1 1/3 cups of batter if Leah uses 3/4 cups of chocolate chips how many cups of batter should she use
Answers
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.
What is 50 million + 32 hundred thousands + 41 hundred
Answers
Answer:
82041000
Step-by-step explanation:
50,000,000 + 32,000,000 + 41,000
Please help me on this!!! I’d really appreciate it!!!
Answers
Answer:
B
Step-by-step explanation:
Which inequality represents the graph? x ≥ (y + 3)2 + 1 x ≤ (y + 3)2 + 1 x ≥ (y – 3)2 + 1 x ≤ (y – 3)2 + 1
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
The domain = -∞ ≤ x ≤ ∞
The range = -∞ < y < ∞
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Answer:
c or x ≥ (y-3)^2+1
Step-by-step explanation:
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Answer:
Yes.
Step-by-step explanation:
I had a problem just like this and you are correct.
someone please help me giving brainlist
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Answer:
A
Step-by-step explanation:
Complete the table of ordered pairs for the linear equation
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Answer:
Step-by-step explanation:
See attachment.
Use the formula to evaluate the infinite series. Round to the nearest hundredth if necessary.
Formula for a converging infinite series. a1 is the first term and r is the common ratio.
A. 4
B. 1.33
C. 5.33
Answers
Answer:
4
Step-by-step explanation:
This is an infinite geometric series. This has a sum of
Where
a is the first term, and
r is the common ratio (one term divided by the previous term)
Let's figure out the first 2 terms by plugging in n = 1 first and then n = 2 for the series.
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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Elizabeth buys a package of 360 marbles. she gives away 216 of the marbles. what percent of the marbles did Elizabeth give away. SHOW WORK
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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