What conclusion can you draw about angles of elevation for parasailing boats traveling at the same speed?
Answers
Question:
A boat is travelling at 30 mph has a 400 ft. tow line results in the height of the rider in the parasail above the water level of 300 ft.
a) Draw a labelled diagram of the situation
b) Determine the angle of elevation of the parasail rider
c) Parasailing boats traveling at the same speed will have the same angle of elevation
Answer:
a) Please find the attached drawing of the parasail boat created with MS Visio
b) The angle of elevation of the parasail rider from the boat is approximately 48.6°
Step-by-step explanation:
a) Please find the labelled diagram of the parasailing boat created with MS Visio
b) sing trigonometric ratios, we have;
[tex]sin(\theta) = \dfrac{Opposite \ leg \ length}{Hypotenuse \ length}[/tex]
The opposite leg = The height of the parasail rider above water = 300 ft.
The hypotenuse = the length of the tow line = 400 ft.
θ = The angle of elevation of the parasail rider
[tex]\therefore sin(\theta) = \dfrac{300 \, ft.}{400 \, ft.} = 0.75[/tex]
θ = Arctan(0.75) ≈ 48.6°
The angle of elevation above the horizontal of the parasail rider from the boat, θ ≈ 48.6°
c) From the construction of the drawing and the derivation of the angle of elevation given only the length of the tow line and the height given to the parasail rider by the speed of the both,
Parasailing boats traveling at the same speed, having the same length of tow line, will have the same angle of elevation, provided other factors that have an effect on the angle of elevation are the same
Related Questions
the variable term in 2 to the third power - 4 is
Answers
Answer:
-4²
Step-by-step explanation:
Which expression is equivalent to 3(6f)
no links
Answers
Answer:
18f
Step-by-step explanation:
just multiply 3 time 6 and keep the variable
Answer:
18fStep-by-step explanation:
Hopes this helps. Mark as brainlest plz!3(6f)3*6 = 18Dont forget the variable18f ^^Find the area of the compound figure. Round your answer to 2 decimal places if required. (Use π = 3.14)
Hello! I’ve been stuck on this problem for a while and—though I know the answer—I’m not sure how to get to it? Please help!
Answers
Answer:
first you will need to break the shape into a semi circle and a triangle.
then solve the area of the semi circle. which is
[tex] \frac{(3.14) \times r ^{2} }{2} \\ [/tex]
[tex] \frac{(3.14) \times 4.6^{2} }{2} \\ = 33.22[/tex]
Then solve the area of the triangle.
First work out the height of the triangle, which is
[tex]13.4 - 4.6 = 8.8[/tex]
then the area. which is
[tex] \frac{1}{2} 4.6 \times 8.8 \\ = 20.24[/tex]
now calc. the two figures. which is
[tex]20.24 + 33.22 \\ = 53.46[/tex]
Which expression is equivalent to5(h+9)
Answers
Answer:
The answer would be 5h+45
Step-by-step explanation
5 (h+9)
You need to convert this equation into the equation
you multiply 5 by h and get 5h
Then multiply the same number outside the parenthesis, 5, by 9 which will give you the answer 45
Once you have 5h and 45 just put it together with the addition symbol which will will equal:
5 (h+9) = 5h + 45
Your Welcome! (hopefully this answers your question)
Classify the function as linear or quadratic and identify the quadratic, linear, and constant terms.
f(x) = 6x2 + x − 12
A. quadratic function; quadratic term: −12x2; linear term: −6x; constant term: −12
B. linear function; linear term: x; constant term: −12
C. linear function; linear term: 6x2; constant term: −12
D. quadratic function; quadratic term: 6x2; linear term: x; constant term: −12
Answers
Answer:
D
Step-by-step explanation:
The function f(x) = 6x2 +x -12 is a quadratic since the highest degree polynomial term is 2. So that eliminates B and C. Option A is incorrect because the quadratic term is 6 not double the constant. There for the correct choice is D because the function is a quadratic and the quadratic term is 6x2, the linear term is x and the constant term is -12.
Elena would like to know the average height of seventh graders in her school district. She measures the heights of everyone in a random sample of 20 students. The mean height of Elena’s sample is 61 inches, and the MAD (mean absolute deviation) is 2 inches.
Select all the true statements.
Who every can answer this I will give brainliest!! Please help!
Answers
Complete question is;
Elena would like to know the average height of seventh graders in her school district. She measures the heights of everyone in a random sample of 20 students. The mean height of Elena's sample is 61 inches, and the MAD (mean absolute deviation) is 2 inches.
Select all the true statements. Make your selections bold.
A. The median height of the sample must be between 59 and 63 inches.
B. Another random sample of 20 students is likely to have a mean between 57 and 65 inches.
C. The mean height of these 20 students is likely to be the same as the mean height of all students in the district.
D. The mean height of these 20 students is likely to be the same as the mean height of a second random sample of 20 students.
E. Elena would be more likely to get an accurate estimate of the mean height of the population by sampling 40 people instead of sampling 20 people.
Answer:
Options A, B & E are true.
Step-by-step explanation:
We are told that Elena's mean absolute deviation is 2 inches.
This means that the distance between each data point and the mean is equal to 2. This value gives us a good idea about the variability present in the dataset.
This is calculated from the difference between the mean of the absolute value of the initial mean and each data set.
Now, looking at the options. In option A, since mean height of the 20 students is given as 61, it means the median will be close to that figure too. Thus, between 59 and 63 inches given is appropriate.
In option B, if another random sample is taken, the mean would likely be close to 61 too since the MAD is 2.
Thus range given is okay.
In options C & D, there is no evidence to prove that the new mean would be the same as the district or the second random sample. This, both options are not appropriate.
In option E, if she uses a Sample of 40, she will obviously get a more accurate figure because the more the sample the more accurate the average result that represents the population.
Someone plz help me
Answers
Answer:
C - Triangle, Pentagon, Hexagon, Decagon
Step-by-step explanation:
Triangle - 3 sides
Pentagon - 5 sides
Hexagon - 6 sides
Decagon - 10 sides
From Least to greatest!
:)
I need help please. Whatever you can with the 1st question
Answers
classify the pair of angles shown.
Answers
Answer:
complementary angle
Step-by-step explanation:
hope this helps u
At the amusement park, Janine bought a bottle of water for $2. She also bought game tickets for $0.50 each. Janine spent a total of $15.
Which of the following equations can be used to find the number of game tickets, g. Janine bought?
O 0.509 + 2 = 15
O2g +0.50 = 15
O 0.50g - 2 = 15
O 2g -0.50 = 15
Answers
Answer:
15 = 2 + 0.5g
Total number of ticket purchase by Janine = 26
Step-by-step explanation:
Given:
Cost of water bottle = $2
Cost of each ticket = $0.50
Total amount spend by Janine = $15
Find:
Equation
Computation:
Assume;
Total number of ticket purchase by Janine = g
Total amount spend by Janine = Cost of water bottle + (Cost of each ticket)(Total number of ticket purchase by Janine)
15 = 2 + (0.5)(g)
15 = 2 + 0.5g
0.5g = 13
g = 13 / 0.5
Total number of ticket purchase by Janine = 26
What is the midpoint of AB when A (-2, 5) and B (4, -5)?
Answers
Answer:
Answer attached
Step-by-step explanation:
Midpoint of AB = (1,0)
Let's check
midpoint of AB
(-2+4/2,5-5/2)(2/2,0/2)(1,0)Which type of transformation (reflection, rotation or translation) is most difficult for you to perform? Which is the easiest? Why do you think this is?
Answers
Answer:
Easiest: Translation
Most difficult: rotation
Step-by-step explanation:
- Translation involves just moving of an image without any changes anything about it from size to orientation to shape. Therefore, the translated image is exactly the same as the original one just that it is moved to a different place.
- Rotation involves rotating the image by a certain angle.
For example, we can rotate an image by 30°, 45°, 60° e.t.c.
- Reflection is simply the mirror image of an existing image which is basically flipping the original image along a vertical or horizontal line which acts like a mirror.
Looking at these definitions, the easiest will be translation because we are not changing any single thing but just moving from one place to another while the most difficult would be rotation because it involves rotating at an angle which one may not easily get correctly.
what is the value of x squared + 2 x y / 2 * W + 3 * z for w=2, x=5, y=8 and z=3
Answers
Answer: 114
Step-by-step explanation:
Plug in the numbers. 5*5+2*5*8/2*2+3*3=25+80+9=114
A. X = 18
B. X = 48
C. X = 82
D. X = 98
Answers
Answer:
b. x=48
Step-by-step explanation:
just try each one until you get an answer that equals to 180 degrees
Answer:
the answer is b.X=48....
- A box of specialty baking flour holds 2 kilograms. How many angel food cakes can be made with a recipe that calls for 100 grams of flour?
Answers
Answer:
20
Step-by-step explanation:
1000g = 1 kil0
2 x 1000 = 2000g
Number of cakes = 2000 / 100 = 20
Use the rectangle to answer the question.
12 millimeters
9 millimeters
What is the area of the rectangle?
O A 21 square millimeters
OB. 42 square millimeters
O c. 81 square millimeters
OD. 108 square millimeters
ОЕ.
144 square millimeters
Answers
Answer:
12 x 9 = 108
Step-by-step explanation:
Just multiply the 2 given lengths when finding AREA of a rectangle.
Answer:
D.108
Step-by-step explanation:
Simplify 12x6 y7 18 x3y5.
Answers
Answer:
216x^9y^12
Step-by-step explanation:
does the letter v contain a corresponding angle?
Answers
Erica rented a scooter for $12 per hour plus a $25 gas fee. She spent a total of $73 to rent the scooter. Which equation represents the number of hours, h, Erica rented the scooter?
A
25h+12=73
B
12h+25=73
C
12h−25=73
D
25h−12=73
Answers
The equation that represents the number of hours, h, Erica rented the scooter is 25h + 12 = 73.
Consider variable h represents the number of hours Erica rented the scooter.
The term 25h represents the cost of the gas fee, which is $25 multiplied by the number of hours.
The term 12 represents the cost per hour of renting the scooter.
The equation states that the sum of the gas fee and the rental fee per hour equals the total cost of $73.
Therefore, the correct equation is:
25h + 12 = 73, which represents the number of hours Erica rented the scooter.
Learn more about the Linear equations here:
brainly.com/question/13738061
#SPJ1
Which is the better value? 3 sandwiches for $15.00 or 4 sandwiches for $21.00? PLEASE EXPLAIN DO NOT PUT ANY LINKS
Answers
Answer:
3 for 15
cheaper
all you have to do is divide the number of sandwiches by the money.
(i answered again because its a waste of points)
Find the diameter and circumference
6.2 mi
PLS HELP I NEED AN ANSWER PLS
Answers
Answer:
diameter: 2.4 mi
circumference = 38.96 mi
Step-by-step explanation:
d=2r=2·6.2=12.4
C=2πr=2·π·6.2≈38.95575
Who listens to NF (Nathan Feuerstein) and enjoys his music?
Write a short paragraph about your favorite song and why you like it. Also include what you think the song means.
I will give Brainliest to the answer I like best and 10 points.
Good luck,
Paul
Answers
Answer: I like NF and can I do it later I’m in class
Step-by-step explanation:
2. In 1990, there were 1,200 cell phone subscribers in a small-town of Stephenville. The number of subscribers increased by 75% per year after 1990. How many cell phone subscribers were in Stephenville in 1999?
Answers
Answer: [tex]184,724.153[/tex]
Step-by-step explanation:
Given
In 1990, there were 1200 cell phone subscriber in small town of stephenville
It is increasing by 75% per year after 1990
In year 1991 it is
[tex]\Rightarrow 1200+1200\times 0.75\\\Rightarrow 122(1.75)[/tex]
In year 1992 it is
[tex]\Rightarrow 1200(1.75)+1200(1.75)\times 0.75\\\Rightarrow 1200(1.75)(1+0.75)\\\Rightarrow 1200(1.75)^2[/tex]
So, it is increasing as [tex]1200(1.75)^x[/tex]
where [tex]x=[/tex]no of years spent
After 9 years, it is
[tex]\Rightarrow 1200(1.75)^9=184,724.153[/tex]
Find the equation of a line that passes through the points (1,-5) and (3,-6).
Leave your answer in the form y =mx+c
Answers
Answer:
y = - [tex]\frac{1}{2}[/tex] x - [tex]\frac{9}{2}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (1, - 5) and (x₂, y₂ ) = (3, - 6)
m = [tex]\frac{-6+5}{3=2}[/tex] = - [tex]\frac{1}{2}[/tex] , then
y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (1, - 5 ) , then
- 5 = - [tex]\frac{1}{2}[/tex] + c ⇒ c = - 5 + [tex]\frac{1}{2}[/tex] = - [tex]\frac{9}{2}[/tex]
y = - [tex]\frac{1}{2}[/tex] x - [tex]\frac{9}{2}[/tex] ← equation of line
what's the slope of (-2,-1) and (4,3)
Answers
Answer:
4/6
Step-by-step explanation:
→ Write the slope formula
(y₂ - y₁) ÷ (x₂ - x₁)
→ Substitute in the numbers
(3 - -1) ÷ (4 - -2)
→ Simplify
4/6
Answer:
m = 2/3
Step-by-step explanation:
The equation of a line is y=mx+ 4. What is the value of m if the line passes through point (−3, 7)?
Answers
Answer:
m= -1
Step-by-step explanation:
plug in the coordinate (-3, 7) into y=mx+4 where (x, y)
7=-3m+4
solve for m and you get -1
:)
Answer:
[tex]\huge\boxed{m=-1}[/tex]
Step-by-step explanation:
We have
[tex]y=mx+4\\\\(-3,\ 7)[/tex]
Put the coordinates of the given point to the equation of the line:
[tex](-3,\ 7)\to x=-3,\ y=7\\\\7=-3m+4\qquad|\text{subtract 4 from both sides}\\\\7-4=-3m+4-4\\\\3=-3m\qquad|\text{divide both sides by (-3)}\\\\\dfrac{3}{-3}=\dfrac{-3m}{-3}\\\\-1=m\to m=-1[/tex]
NAME TWO THINGS TO CONSIDER WHEN YOU ARE PLANNING HOW TO SELECT A RANDOM SAMPLE.
Answers
Answer:
SELECT WHAT??
Step-by-step explanation:
A surveyor wants to conduct a poll to see how many people purchase records at the mall.
Which polling method is likely to be biased?
Polling 30 random people in the mall each day for 5 days.
Randomly polling 500 people in the mall on one day.
Polling every third person in the food court.
Polling every other person that exits the music and entertainment store.
Answers
Answer:
[tex]\sqrt{7} 2 =x^{8}[/tex]
Step-by-step explanation:
Answer:
the last one since the people in the music and entertainment store are there to only buy records
GIVING BRAInLY !!!!! Which expression shows the result of applying the distributive property to 3(1/5x-1/7)?
(A) -3/5x-3/7
(B) 3/5x-3/7
(C) 3/5x+3/7
(D) -3/5x+3/7
Answers
Answer:
B. 3/5x-3/7
Step-by-step explanation:
You multiply when applying the distributative property
3(1/5x-1/7)
3/5x-3/7 multiply 3 by each value in parentheses.
1/5x times 3 = 3/5x
-1/7 times 3 = -3/7.
Answer = b when you put the two back together. Don’t forget about your negative sign when multiplying!!
Jack wants to purchase a DVD player who’s price was $162.50 he has $50 only how much more money does Jack need to purchase the DVD player
Answers
$162.50- 50= 123.50