If you are in a capsule at the top of the Orlando Eye, standing approximately 400 ft above ground and you are looking at the Amway Center which is approximately 15,840 fr away what is your angle of depression?
how many miles is 15,840 feet?
Answers
Hello!
For this type of problem, it is very helpful to draw your problem out, but I'll attempt to explain it in words, feel free to draw it out if you are able to!
You'll be solving this problem using trigonometry, meaning that we'll be creating a triangle to represent this problem.
If you are standing approximately 400 feet above the ground, that means the vertical leg of the triangle will be the value 400.
We are also given that the Amway Center is approximately 15840 feet away, meaning that the leg on the bottom will be a value of 15840.
This triangle will also create a right angle at the intersection of the two legs mentioned above, meaning that right triangle trigonometry can be applied to this problem.
What trigonometry identity can be used to find the angle of depression when we are given the adjacent and opposite legs? (SOH-CAH-TOA)
We'll be using tangent.
[tex]tan(x)=\frac{15840}{400}[/tex]
Remember to set your calculator to the degrees mode and take the inverse tangent of the ratio.
[tex]x=88.553[/tex]
To convert from 15840 feet to miles, use the conversion 5280 feet to miles.
[tex]15840ft*\frac{1mi}{5280ft}=3mi[/tex]
Hope this helps!
Related Questions
HEEEEEEEEEELLLLLLLLLLP
Answers
It’s 8.75h because Michael earns 8.75 per hour the key word is “per hour”
factor 3a^5-18a^3+6a^2, I know the answer is 3a^2(a^3-6a+2) but I am so lost on how to get the factor of 3a^2..How in the world do you get the exponent for the factor
Answers
Answer:
[tex]\huge\boxed{3a^2(a^3-6a+2)}[/tex]
Step-by-step explanation:
[tex]\sf 3a^5-18a^3+6a^2\\\\HCF = 3a^2\\\\Take \ 3a^2 \ common\\\\= 3a^2(a^3-6a+2)\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807150% as a simplified fraction
Answers
Answer:
It would be 3/2 as 1/2 is 50%, 2/2 or 1 is 100% and 3/2 is 150%
Step-by-step explanation:
PLZ ANSWER I WILL MARK BRAINLISTToni practices the piano 6 days a week.
The table shows the total number of hours she practiced one week.
Complete each statement.
Days
Practice Time (h)
Over 2 days, Toni practiced
2
1
hour per day
4.
3
6
5
5
Answers
Over 2 days Toni practiced 1 hour practicing the piano.
What are the types of representing data?Data refers to the elements that make up persons, things, events, and ideas. It could be an integer, a title, or anycast. Data must be tabulated after collection in order to study their prominent characteristics. The presentation of data is the name given to such a configuration.
Bar Chart, Histogram, Line Graph, Pie Chart, Frequency Distribution Table.
Given, A table that shows the total number of hours Toni practiced piano in one week.
From the given table Toni practiced 1 hour over 2 days.
learn more about the representation of data here :
https://brainly.com/question/19126310
#SPJ2
Solve the problem:
Kiram has 5 ziploc bags. He puts an equal number of marbles (X).Then he realized that he
needed to add 2 more marbles for each bag. If the total number of marbles is 30 how many
marbles in each bag?
Answers
Answer:
6?
Step-by-step explanation:
I guessed dont trust the answer
[tex] \sqrt{x - 1} (x - 6) {}^{2} [/tex]
inflection points?
Answers
Answer:
1 and 6
Step-by-step explanation:
it is just like the roots of a polynomial, since [tex]\sqrt{x-1}[/tex](x-6)^2=0
we can separate the two pieces of the problem
\sqrt{x-1} =0
square both sides to get
x-1=0. x=1
(x-6)^2=0
square root both sides and get
x-6=0
x=6
so the two inflection points of the equation are 6 and 1
Hope that helps :)
Find m∠ABC in the picture. (it's not solving for x.)
Answers
Answer:
The answer would be 6º
Step-by-step explanation:
first we know that a straight lin is always 180º
so since we know that the angle outside of the triangle is 110º we can do 180º -110º
then we get the measuerment for angle C :70º
since we dont know the measurements of the other angles but know that a full triangle is equal to 180º we make this equation
2+6x+12x+70=180
then we solve
72+18x=180
-72 -72
18x=108
/18 /18
x=6
then we plug in the x value to find the angle measurement
2+6(6)
2+36
38º
your answer is m<CAB is 38º
Oil costs $4 per gallon and diesel costs 5.24 per gallon. If the price of oil rises at 10% per month, how many months will it take before a gallon of oil costs more than a gallon of diesel?
Answers
Answer:
It would take 31 Months for oil to get the same price as diesel.
Cuál es el valor de 3/2? es para una tarea :(
Answers
Answer:
1.5
Step-by-step explanation:
Solve. Remember to insert units when writing your answer. A carpenter needs to cut a board into fourths. If the board is 32 ft 8 in. long originally, how long will each cut be?
Answers
Answer:
[tex]Each\ cut = 8ft\ 2in[/tex]
Step-by-step explanation:
Given
[tex]Length = 32ft\ 8in[/tex]
[tex]Cuts = 4[/tex]
Required
Determine the length of each cut
This is calculated by dividing the total length by the number of cuts.
So, we have:
[tex]Each\ cut = \frac{Length}{Cuts}[/tex]
[tex]Each\ cut = \frac{32ft\ 8in}{4}[/tex]
Split:
[tex]Each\ cut = \frac{32ft}{4} + \frac{8in}{4}[/tex]
[tex]Each\ cut = 8ft+ 2in[/tex]
[tex]Each\ cut = 8ft\ 2in[/tex]
If a day of the week is randomly selected, what's the probability that the day contains the letter "a" in its name?
Round your answer to four decimal places (if necessary).
Answers
Answer:
1
Step-by-step explanation:
monday, tuesday, wednesday, thursday, friday, saturday, and sunday all have "a" in it so it has a 100% probability
Answer:
There would be a 100% chance.
Step-by-step explanation:
All the days of the week end with -day. The word day has an 'a' in it.
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Sunday
Therefore, it will be certain that you will pick a day that has an 'a' in it's name.
Hope this helps!
Find the solution set to 2x-1<7 and 3x-5>16
Answers
Answer:
2
Step-by-step explanation:
Given the function f(x) = 4x + 1, EXPLAIN and show how to find the average rate of change between x = 1 and x = 3.
Answers
The average rate of change is calculated as the slope of the line between the two points on the graph. Since at x = 1, y = -3, and at x = 3, y = 1, these are the two points which we calculate the slope from. Using the formula
m = (y2 - y1)/(x2 - x1)
m = (1 - (-3))/(3 - 1)
m = 4/2
m = 2
Therefore the slope, or the average rate of change, between these points is 2.
Just in case you need to show why the slope = 4, I’ll leave how to find it here:
To find the slope, use the formula: y2-y1/x2-x1
First, you need to find the y-values at x=1 and x=3. To do this, plug the x-values into the equation. The value you end up with is your y-value.
f(1) = 4(1) + 1 = 5
f(3) = 4(3) + 1 = 13
So your two points are (1, 5) and (4, 13). Now plug these points into the slope formula
m = (13-5)/(3-1) = 8/2. 8 divided by two is 4, so your average rate of change is 4. You can double check this by graphing.
Brooklyn's family took a road trip to Mount Rushmore. Brooklyn fell asleep 72% of the way through the trip. If the total length of the trip was 400 miles, how many miles had they travelled when Brooklyn fell asleep?
Answers
Answer:
13
Step-by-step explanation:
plus 2 = 11 = 13
Answer:
The correct answer is 288
Step-by-step explanation:
72% of 400 is 288 you can do that in a calculator its common sense, its not 13.
what is the value of a?
Answers
Answer:
9\sqrt{2}
Step-by-step explanation:
this is a 30-60-90 triangle so
the side opposite of 30 is x and the opposite side of 60 is x[tex]\sqrt{2}[/tex]. then the side opposite 90 is 2x.
so if 9=x then a=x\sqrt{2}
9\sqrt{2} is the side length of a
Hope that helps :)
Sinusoidal graphs may occur in everyday life. Examples of sinusoidal graphs can be found in wave patterns, temperature patterns over extended period of times, or the pattern of swinging on a tree.
Required:
a. Find a real-world situation that can be represented by a sinusoidal function. You may find something online that represents a sinusoidal graph or you can create a sinusoidal graph yourself with a measuring tape and a rope.
b. Provide a graph complete with labels and units for the x- and y-axes.
c. Describe the amplitude, period, and vertical shift in terms of the real-world situation.
Answers
Answer:
a. An example of a real situation that can be represented by a sinusoidal function is a Ferris wheel
b. The graph of the sinusoidal function representing the Ferris wheel created with Microsoft Excel is attached
c. The amplitude is the radius of the Ferris wheel
The period is the time it takes to complete one cycle
The vertical shift is the height of the wheel above ground
Step-by-step explanation:
Researchers interested in lead exposure due to car exhaust sampled the blood of 52 police officers subjected to constant inhalation of automobile exhaust fumes while working traffic enforcement in a primarily urban environment. The blood samples of these officers had an average lead concentration of 122.31 µg/l and a SD of 38.75 µg/l; a previous study of individuals from a nearby suburb, with no history of exposure, found an average blood level concentration of 35 µg/l.
Required:
a. Write down the hypotheses that would be appropriate for testing if the police officers appear to have been exposed to a higher concentration of lead.
b. Explicitly state and check all conditions necessary for inference on these data.
c. Test the hypothesis that the downtown police officers have a higher lead exposure than the group in the previous study. Interpret your results in context.
d. Based on your preceding result, without performing a calculation, would a 99% confidence interval for the average blood concentration level of police officers contain 35 ug/l?
Answers
Step-by-step explanation:
n = 52
x bar = 122.31
standard deviation sd = 38.75
1. the hypothesis:
null hypothesis
h0: μ ≤ 35
alternative hypothesis
h1: μ > 35
2.
we have been given the sd of the sample but not that of the population. so what we are supposed to use here is the t test and not the z test. the following conditions have to be met.
population has to be normalsample size has to be more than 30. we have sample size = 52 in this question.3.
= [tex]\frac{122.31-35}{38.75/\sqrt{52} }[/tex]
= 87.31/5.37
= 16.26
using the T distribution function in excel, the p value was calculated and found to be approximately equal to 0.
TDIST(16.26, 51, 1)
since p value is very small we reject the null and accept the alternate hypothesis.
4. from the result above the answer to this question is yes
I really need help with this. Can anyone help me please?
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros.
3,-2+2i
Thank you!
Answers
Answer:
f(x) = x³ + x² - 4x - 24Step-by-step explanation:
Since one of zero's is complex number, its conjugate should also be a zero of the given polynomial.
The conjugate of -2 + 2i is -2 - 2iThe polynomial is going to be:
f(x) = (x - a)(x - b)(x - c) with minimum of degree 3, with zero's a, b and c.Substitute zero's:
f(x) = (x - 3)(x - (-2 + 2i))(x - (-2 - 2i)) = (x - 3)(x² - x (-2 + 2i -2 - 2i) + (-2 + 2i)(-2 - 2i)) = (x - 3)(x² + 4x + 8) = x³ + x² - 4x - 24wn
he quantity
8. 25% of 32.4
Answers
Step-by-step explanation:
25 percent of 32.4 is 8.1
Answer:
8.1
Step-by-step explanation:
.25x32.4=8.1
Fruit-O-Rama sells dried pineapple for $0.25 per ounce. Mags spent a total of $2.65 on pineapple. How many ounces did she buy
Answers
Answer:
2.65/.25= 10.6oz
............
Answer:
10.6 Ounces
Step-by-step explanation:
Each ounce of dried pineapple costs $0.25
Divide $2.65 by $0.25
2.65/0.25=10.6
Mags bought 10.6 oz.
Complete the ratio table
Answers
Answer:
Sugar | Flour
¼ | 1
½ | 2
⅝ | 2½
4 | 16
Step-by-step explanation:
¼ part of sugar = 1 part flour (given)
Ratio of sugar to flour = ¼ : 1
Use this proportion to complete the table.
✔️Sugar to flour = ¼ : 1
½ : x = ¼ : 1
½/x = ¼/1
cross multiply
x*¼ = 1*½
x/4 = ½
Multiply both sides by 4
x = ½*4
x = 2
✔️Sugar to flour = ¼ : 1
x : 2½ = ¼ : 1
x : ⁵/2 = ¼ : 1
x/⁵/2 = ¼/1
Cross multiply
x*1 = ¼*⁵/2
x = ⅝
✔️Sugar to flour = ¼ : 1
4 : x = ¼ : 1
⁴/x = ¼/1
Cross multiply
x*¼ = 1*4
x/4 = 4
Multiply both sides by 4
x = 4*4
x = 16
Factor: 16m+8n-3 pls now
Answers
Original amount: 27
End amount: 38.61
Increase or decrease
Answers
Answer:
increase
Step-by-step explanation:
11.61 was added to 27
Todd and his wife are having company for dinner so he is tasked with stopping at the store to buy creamer for coffee and something for dessert. The creamer is in the far left corner of the store. As Todd is walking back to get the creamer he sees a sign for cookies that says “Just like grandma used to bake”, and the bag has a picture of a woman that reminds Todd of his grandmother. Todd buys the cookies for dessert.
Todd’s purchase was least likely a result of _____.
a.
the location of the creamer
b.
the location of the display
c.
the packaging of the cookies
d.
his shopping budget
Answers
Answer:
I think it is D because it says LEAST LIKELY a result so I would think that it is not because his shopping budget
Answer:
D
Step-by-step explanation:
<3
Find the area of the composite figure.
If you answer I'll give you branliest :)))(
Answers
Answer:
252cm²
Step-by-step explanation:
This figure consists of 2 trapeziums.
Area of a trapezium= (The sum of the parallel side/2)× height
Explanation:
[(16+20)÷2]×7
[36÷2]×7
18×7
126cm²
Since the 2 trapezium have the same value we will just multiply the answer by 2.
126×2
252cm²
Hope this helps:)
Please help! It’s super easy and I’ll reward you brainiest
Answers
30/30+20/30 = 50/30
1/2 of 50 is 25
25/30
Simplified to 5/6.
please answer !!! will give brainliest
A. 2 and 8
B. 2
C. 8
Answers
Answer:
a 2 and 8
Step-by-step explanation:
most numbers are 2 and 8
2 and 8
To find the mode of a data set, look for the number that occurs most often
You can sell 60 pet chias per week if they are marked as $1 each, but only 50 per week if they are marked $2 per chia. Your chia supplier is prepared to sell you 10 chias per week if they are marked $1 per chia, and 20 per week if they are marked $2 per chia. At what price should the chias be marked so that there is neither surplus nor a shortage of chias
Answers
Answer:
$1 for 60
Step-by-step explanation:
60$ is a better deal.
WALLAI HELP ME THIS IS HARD HELP ME PLEASE
Answers
Answer:
3,-1 I hope it is a right answers
Step-by-step explanation:
( 3,1 )
please mark as brilliant
25. Which equation is not proportional? *
Oy=2x-3
Oy=150x
Oy=1/2x
YE 7
Answers
Hi there! Your answer is y = 2x-3
Please see an explanation for a better and clear understanding to your problem.
Any questions about my answer and explanation can be asked through comments! :)
Step-by-step explanation:
For an easy understanding to "proportional equation", It is basically an equation that is in form of y = mx + b where b = 0. Therefore, when b = 0 - Our new equation would be y = mx.
Other choices are in form of y = mx while the first choice isn't in the form of y = mx.
To be a proportional function or equation, the equation must be in the form of y = mx only.
The question asks which equation Is not proportional. Hence, the answer is the first choice.
Hope this helps!