Two tracking stations 525 m. apart measure angles of elevation of a weather balloon to be 73.5 degree and 54.2 degree. How high is the balloon at the time of the measurement? Round to the nearest meter.(show your work)
Answers
9514 1404 393
Answer:
516 m or 1235 m
Step-by-step explanation:
The height of the balloon depends on the geometry of the problem. Assuming the stations are in line with each other and the balloon, there are a couple of possible configurations that satisfy the problem description. They are shown in the attachment.
If the balloon is between the stations, the height is 516 m.
If the balloon is not between the stations, the height is 1235 m.
_____
A graphing program solves the problem nicely. If you want to solve it algebraically, You can write equations for the horizontal distance from each station to the balloon.
d1 = h/tan(54.2°)
d2 = h/tan(73.5°)
In one of the possible geometries, ...
d1 + d2 = 525
h(1/tan(54.2°) +1/tan(73.5°)) = 525
h = 525tan(54.2°)tan(73.5°)/(tan(54.2°) +tan(73.5°)) ≈ 516.0 . . . meters
In the other possible geometry, ...
d1 -d2 = 525
h(1/tan(54.2°) -1/tan(73.5°)) = 525
h = 525tan(54.2°)tan(73.5°)/(tan(73.5°) -tan(54.2°)) ≈ 1235.3 . . . meters
The balloon could be 516 or 1235 meters high.
Related Questions
a. These triangles are proportional. Identify which sides match up between the two triangles. Please note sides are named from point to point so for instance the length 40 on triangle ABC is referred to as side AB. Make sure to identify all three pairs. b. Set up fractions with your side pairs to show proportionality. Do they all simplify down to the same fraction? If not please go back to Part A and remember that shapes can be rotated or reflected. Make sure to show your work demonstrating that the fractions are proportional. c. Are the triangles similar? If so explain why. If not, explain why not. Your work from Part A & B may help with this.
Answers
Answer:
a)ab and yz, ac and xy, bc and xz
b)yz = xy = xz 30 = 37.5 = 45 3 = 3 = 3
ab ac bc 40 50 60 4 4 4
c)they are similar because all sides break down to ¾
Step-by-step explanation: this is what i did on my test
-2, 6, -18, 54: Write an explicate formula for this sequence
Answers
Answer:
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Step-by-step explanation:
I need help. Please help
Answers
Answer:
150 degrees
Step-by-step explanation:
Answer:
You need 180 degrees for a triangle so, you subtract 150 from 180.
You get 30 degrees.
Then, you subtract 30 from 180 in order to find the degree of x.
The number for x is: 150 degrees
I hope this helps ! :)
Step-by-step explanation:
A company charges a flat fee for shipping for items ordered online. This relationship can be represented by the equation y = x+5.50
. where x represents the cost of the items ordered and y represents the total cost including shipping.
Move numbers to the table to represent this relationship.
x
y у
1.50
2.00
8.50
5.00
15.50
1.50
1.00
2.00
2.50
3.00
4.00
3.50
4.50
5.50
6.00
6.50
7.00
5.00
7.50
8.00
8.50
9.00
9.50
10.00
10.50
11.00
12.50
11.50
12.00
14.00
13.50
14.50
13.00
15.00
15.50
16.00
16.50
Answers
I'm just borrowing a little amount of points thank you sm
Help please I need the answer please don’t give link
Answers
Answer:
10 and 12
Step-by-step explanation:
the LCM of 10 and 12 is 60
10 and 12 have 2 as the least common factor between them
Suppose that a polynomial function of degree 4 with rational coefficients has 6, 4, square root of (6) as zeros. Find the other zero
Answers
Can the theoretical probability of the cup landing on its side be calculated based on the information given?
Answers
Answer:
If given enough information yes
Step-by-step explanation:
If you were given the weight and the distibution of the weight and the elasticity of the cup, as well as the trajectory of the cup and the force it was thrown at, and the proportions of the cup, its shape, where it's landing, etc. You could give a definitive probability. For example, If there is more weight at the bottom of the cup it might be less probable to land on it's side
The Family Fine Arts Center charges $ 22 per adult and $ 14 per child under 12
years old for its performances. On a recent weekend evening when 551 people
paid admission, the total receipts were $ 9290. How many who paid were
children under 12 years old?
Let A = number of adult tickets, let C = number of child tickets
1. Using the variables A and C, write a system of linear equations that reflect the
above problem.
2. Solve the system of equations for both A and C.
3. How many tickets sold were for children under 12?
Answers
Answer:
197 adult tickets and 354 child tickets were sold for the event.
Step-by-step explanation:
Given that the Family Fine Arts Center charges $ 22 per adult and $ 14 per child under 12 years old for its performances, and on a recent weekend evening when 551 people paid admission, the total receipts were $ 9290, to determine how many who paid were children under 12 years old the following calculation must be performed:
22 - 14 = 8
551 x 14 = 7.714
9,290 - 7,714 = 1,576
1,576 / 8 = 197
551 - 197 = 354
197 x 22 + 354 x 14 = X
4.334 + 4.956 = X
Therefore, 197 adult tickets and 354 child tickets were sold for the event.
Find the value of x. 6x/2x
help please
Answers
Answer:
A) 11.25
Step-by-step explanation:
6x+2x=90
8x=90
x=90÷8
x=11.25
Which of the following is an equation of the line that has a slope of - 3 and passes through the point (-6, 2)?
Answers
Answer:
y = -3x - 16
Step-by-step explanation:
m = -3 ; (-6 , 2)
Slope point form : y - y1 = m(x -x1)
y - 2 = -3(x - [-6])
y - 2 = -3(x + 6)
y -2 = -3x + 6*(-3)
y - 2 = -3x - 18
y = -3x - 18 + 2
y = -3x - 16
Can someone help me find the answer.
best answer gets brainiest
Answers
Answer:
y = 45
Step-by-step explanation:
2y+1+y+112+112=360
3y+225=360
3y=135
y=45
Answer: I put it in my calendar and i got 45 hope this helps
Step-by-step explanation:
pleas make brainly
What are the new vertices of quadrilateral ABCD if the quadrilateral is reflected across the x-axis?
Question 12 options:
A)
A′ = (–5,–4), B′ = (–5,2), C′ = (–1,5), D′ = (–1,–2)
B)
A′ = (–4,–5), B′ = (2,–5), C′ = (5,–1), D′ = (–2,–1)
C)
A′ = (4,5), B′ = (–2,5), C′ = (–5,1), D′ = (2,1)
D)
A′ = (4,–5), B′ = (–2,–5), C′ = (–5,–1), D′ = (2,–1)
Answers
Answer:
C.
Step-by-step explanation:
write the log equation as an exponential equation
Answers
Answer:
[tex] \displaystyle {9}^{2x - 1} = 2[/tex]
Step-by-step explanation:
we are given a logarithmic equation
[tex] \displaystyle \log_{9}(2) = 2x - 1[/tex]
we want to rewrite it as exponential equation
remember that,
[tex] \displaystyle\log_{a}(b) = c \iff {a}^{c} = b[/tex]
here our a is 9,b is 2 and c is 2x-1
altogether
our exponential equation is
[tex] \displaystyle {9}^{2x - 1} = 2[/tex]
and we're done!
I need help with this!
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
12. The first attachment has the rate of change on each interval. (It is listed at the end of the interval.) It is computed by dividing the difference in length by the corresponding difference in months. The units of rate of change are inches per month.
The baby was growing fastest in the first 3 months.
__
13. The first attachment has the rate of change on each interval. It is computed by dividing the difference in height by the corresponding difference in seconds. The units of rate of change are meters per second. A negative number indicates the elevator is going down.
The second attachment shows a graph of the distance versus time.
_____
I find it convenient to let a spreadsheet do repetitive calculations. I can enter the formula once and copy it where needed. I don't have to worry about the accuracy of the arithmetic, and the result can be formatted to suit the problem requirements. (The basics of most spreadsheet programs can be learned in a few minutes.)
Which term is a perfect square of the root 3x4?
Answers
Answer: 9x16
Step-by-step explanation: The correct option is perfect square of 3x4 is 9x16.
THE TOPIC IS: AREA OF CIRCLES!! PLEASE HELP ME WITH THIS QUESTION!!! WHATS THE ANSWER?? I WILL GIVE YOU BRAINLIEST AND A THANKS!!! AND PLS PUT AN EXPLANATION!! THANK YOU GUYS SO MUCHHHH!! CAN U PLS DO BOTH OF THESE!! :))
Answers
Answer:
9) 379.94 mm2
10)19.625 ft2
Step-by-step explanation:
a=(pi)r2
a=3.14(11 mm2)
a=3.14(121 mm2)
a=3.14*121 mm2
a=379.94 mm2
a=(pi)r2
a=3.14(2.5 ft2)
a=3.14(6.25 ft2)
a=3.14*6.25ft2
a=19.625 ft2
Answer:
(I don't know where to round the numbers to, so I'll just put the full areas)
The answer to 9. is: 380.132711 mm², and the answer to 10. is: 19.6349541 ft².
Step-by-step explanation:
The formula for the area of a circle is A = πr². (A = area, π = pi, r = radius.) When you substitute the variables in the formula for the values of question #9, you get A = π(11)². (It's 11 because the radius is half of the diameter, which in this case is 22 mm.) And when you substitute the variables for the values of question #10, you get A = π(2.5)². And from there, you just finish the equations. Hope this helps :)
A scientist was in a submarine below sea level, studying ocean life. Over the next ten minutes, she descended 75.3 feet. How many feet had she been below sea level, if she was 154.6 feet below sea level after she descended?
Answers
7) Halogen lightbulbs last an average of 4,500 hours. If a particular
lightbulb is used 10 hours per day, how many days can it be expected to
last? *
Answers
Answer:
450 days
Step-by-step explanation:
4500/10 = 450 days
find the area of the shaded region to the nearest tenth
Answers
Answer:
Area of shaded region = 13.07 unit² (Approx.)
Step-by-step explanation:
Given:
Given shaded region is a segment
Radius of circle = 12
Given angle = 60°
Find:
Area of shaded region
Computation:
Area of shaded region = Area of segment
Area of segment = (θ/360)(π)(r²) - (1/2)(sinθ)(r²)
Area of segment = (60/360)(22/7)(12²) - (1/2)(sin60)(12²)
Area of segment = (0.1667)(3.14)(144) - (0.5)(0.866)(144)
Area of segment = (75.42) - (62.35)
Area of segment = 13.07 unit²
Area of shaded region = 13.07 unit² (Approx.)
1
What is the measure of A?
Answers
The measure of A is: 78°
A random sample of 8 Samsung Galaxy smartphones being sold over the Internet in 2013 had the following prices, in dollars:
249 349 299 249 149 135
199169
Assume the population standard deviation is alpha = 85.
If appropriate, construct a 99.5% confidence interval for the mean price for all phones of this type being sold on the Internet in 2013.
Answers
Answer:
The 99.5% confidence interval for the mean price for all phones of this type being sold on the Internet in 2013 is between $140.39 and $309.11
Step-by-step explanation:
Sample mean:
Sum of all values divided by the number of values. So
[tex]S_{m} = \frac{249+349+299+249+149+135+199+169}{8} = 224.75[/tex]
Confidence interval:
We have the standard deviation for the population, so the z-distribution is used.
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.995}{2} = 0.0025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.0025 = 0.9975[/tex], so Z = 2.807.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.807\frac{85}{\sqrt{8}} = 84.36[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 224.75 - 84.36 = $140.39
The upper end of the interval is the sample mean added to M. So it is 224.75 + 84.36 = $309.11
The 99.5% confidence interval for the mean price for all phones of this type being sold on the Internet in 2013 is between $140.39 and $309.11
which figure has the top view shown?
Answers
Answer:
the second one
Step-by-step explanation:
the first one has 2 faces maybe 1 long and 1 short
but the 2nd one has 3 faces
looking at it not from the top but sideways
At the start of a year , company XY’Zs stock is $40 per share. At the end, the company’s stock is $60 per share. What was the stock prices rate of return (percent increase)?
Answers
Answer:
$ 80 xyz
Step-by-step explanation:
..... ......... ..............
what is the percentage of 750ml of 2 litres
Answers
Answer: 75%
Step-by-step explanation:
We convert 2 litres into 1000ml which leaves us with:
750/1000 x 100 = 75%
Answer:
37.5%
Step-by-step explanation:
as a percentage it is (750 * 100)/2000
= 750 / 20
= 75/2
= 37.5%.
2. Gabriel buys a plastic pencil case as shown. SHOW YOUR WORK.
What is the surface area of the pencil case?
A. 924 cm?
C. 1,104 cm
B. 984 cm
D. 1,440 cm
Answers
Answer:
B) SA = 984 cm²
Step-by-step explanation:
SA = (2 x 13 x 24) + (10 x 24) + (10 x 12) = 984 cm²
Determite weather the ordered pair is a solution of the linear equation x=y+1/2;(-5,-2)
Answers
Answer:
(y+1/2 ; y)
Step-by-step explanation:
hello : all ordered pair is a solution of the linear equation x=y+1/2;(-5,-2) is :
(y+1/2 ; y)
(-5 ; -2) is not solution because y = -2 but -2+1/2 = -3/2 no -5
moby max help help help help
Answers
An account earns simple interest.
$1675 at 4.6% for 4 years
a. Find the interest earned.
$
b. Find the balance of the account.
$
Answers
a. The interest earned is $307.40.
b. The balance of the account after 4 years is $1982.40.
What is simple interest?Simple interest is a type of interest that is calculated only on the principal amount of a loan or investment. It is a fixed percentage of the principal amount that is added to the loan or investment balance over a specified period of time.The formula for simple interest is:
I = P * r * t
What is principal?In finance, the term "principal" usually refers to the initial amount of money that is borrowed or invested, excluding any interest or other fees that may be added on later.
In the given question,
a. To find the interest earned, we can use the formula:
Interest = Principal x Rate x Time
where Principal is the initial amount of money, Rate is the interest rate, and Time is the duration of the investment. Plugging in the given values, we get:
Interest = $1675 x 0.046 x 4
Interest = $307.40
Therefore, the interest earned is $307.40.
b. To find the balance of the account, we simply add the interest earned to the initial amount:
Balance = Principal + Interest
Balance = $1675 + $307.40
Balance = $1982.40
Therefore, the balance of the account after 4 years is $1982.40.
To know more simple interest, visit:
https://brainly.com/question/30824126
#SPJ1
What is the perimeter of this tile? inz 10 in. 8 in. 6 in.
Answers
Answer:
24 in
Step-by-step explanation:
Perimeter is the sum of all side lengths
10 in + 6 in + 8 in = 24 in
24 in is the perimeter
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
That is, what is the 142nd odd number?
Answers
Answer and step-by-step explanation:
I believe it is 287. I am not entirely sure, but I believe that is the answer.