A 6 ft. tall man flies a kite and lets out 100 feet of string. The angle of elevation of the string is 52° . How high off the ground is the kite?
Answers
here we are given that a 6ft high man is flying a kite with a string of length 100ft at an angle of elevation 52° . We would like to calculate the height of the kite above the ground. For figure refer to the attachment. We would have to make use of trigonometric ratios here as ,
In ∆ ABE ,
[tex]\longrightarrow \sin 52^o = \dfrac{AB}{AE} \\ [/tex]
[tex]\longrightarrow 0.8 =\dfrac{y}{100ft} \\ [/tex]
[tex]\longrightarrow y =0.8(100ft) \\ [/tex]
[tex]\longrightarrow y = 80ft \\ [/tex]
Now the total height above the ground will be ,
[tex]\longrightarrow h = y + h_{man} \\ [/tex]
[tex]\longrightarrow h = (80 + 6)ft\\ [/tex]
[tex]\longrightarrow\underline{\underline{ h = 86\ ft. }} \\ [/tex]
And we are done!
Related Questions
4. The two trapezoids below are similar. What
is the length of segment EF?
24 am
A
D
30 cm
B
C
G.
7.5 cm
X
E
H
Help please
Answers
The two trapezoids below are similar. The value of Ef will be 6.
What is the similarity?If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.
Given that there are two trapezoids ABCD and GHEF. The length of EF = x will be calculated as:-
Apply the similarity property in the two trapezoids.
AB / FE = DC / GH
24 / x = 30 / 7.5
x = ( 24 x 7.5 ) / 30
x = ( 1800 / 300 )
x = 6
Hence, the value of the side x = EF = 6.
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In the first week of a song's release, it had 16 million streams. each week, the number of streams is 90% of the previous week. how many streams will there be in the sixth week?a. 8,503,056 b. 9,447,840 c. 10,497,600 d. 11,664,000
Answers
Here there is a 10% decrease in the number of streams each week after the song's release. From calculations the number of streams after sixth week is 8,503,056.
Let's look into the data given.
The initial number of streams, X₀ = 16,000,000
The percent decrease is 100- 90 = 10%
So the rate of decrease = 10/100 = 0.10
The period of time, n = 6
The equation to find the final number of streams, X = X₀ (1-r)ⁿ
= 16,000,000× (1-0.01)⁶
= 8503056.
So the number of streams in the sixth week is 8,503,056
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Answer:
(B) 9,447,840
Step-by-step explanation:
Week Streams
1 16,000,000 x 90
2 14,400,000 x 90
3 12,960,000 x 90
4 11,664,000 x 90
5 10,497,600 x 90
6 9,447,840 x 90
Therefore, the answer would be 9,447,840
a square has side length of 7.37.3 inin. if the area is multiplied by 1919, what happens to the perimeter?
Answers
The perimeter should be multiplied by 1/3
The side length of the square, which is 7.3 inches,
The square's surface area
Side x Side is Area = 7.3 x 7.3 = 53.29
The square's new area is multiplied by 1/9,
so area is equal to
1/9 x 53.29 and s is equal to 2.4333.
Using the length of the new square as the new perimeter, the square's new perimeter is equal to 9.733 times its side times.
Now that we have calculated the perimeter ratios, we can see that the square's side length is 7.3.
the perimeter is equal to 7.3 times 4 and equals 29.12; nevertheless,
the ratio of the perimeters of the first and second lengths is equal to
29.12/9.733 and is
therefore 3:1.
so, perimeter multiplied by 1/3
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Find the slope of the line.
On a coordinate plane, a line goes through (0, negative 6) and (2, 0).
a.
Negative one-third
c.
3
b.
One-third
d.
Negative 3
Answers
Answer:
3
Step-by-step explanation:
The equation for slope is (y2-y1)/(x2-x1)
We have (0, -6) as our x1 and y1 and (2,0) as our y1 and y2. So now it's plug and play!
=(0-(-6))/(2-0)
=(0+6)/(2-0)
=(6)/(2)
Simplifying this we get 3/1 or in simple terms... 3
6. During the lunch hour rush, the number of vehicles
passing through the drive-thru at the Wendy's at
Appleby Line and Dundas has been determined to be
normally distributed with a mean of 38 vehicles and
a standard deviation of 5.7. What is the probability
that on a given day, exactly 35 vehicles pass through
the drive thru during the lunch hour rush?
Answers
Answer:
Step-by-step explanation:
To find the probability that exactly 35 vehicles pass through the drive-thru during the lunch hour rush on a given day, we can use the probability density function of the normal distribution. In this case, the mean is 38 and the standard deviation is 5.7.
The probability of a specific value x in a normal distribution is given by the formula:
P(x) = (1/(σ * √(2π)) * e^((-1/2) * ((x - μ)^2 / σ^2))
Where x is the specific value we are trying to find the probability of, μ is the mean, and σ is the standard deviation.
plugging in the given values, we get:
P(35) = (1/(5.7 * √(2π)) * e^((-1/2) * ((35 - 38)^2 / 5.7^2))
The result is very close to zero, the probability of exactly 35 vehicles passing through the drive-thru during the lunch hour rush is very low, almost impossible.
Find the quotient
-37. 44 = 4. 8
Check reasonableness by estimating:
-37. 44
4. 8
Estimated quotient:
Answers
-37. 44 / 4. 8 gives -7.8 when dividing -37.44 by 4.8 by simple dividing rule whereas after rounding off -37.44 and 4.8 that will be -37 and 5 will be 7.4.
In the given problem Division is = 4. 8 and dividend is = -37. 44, And as per law Division is divided by dividend (Division/dividend), and the result produced, is called quotient In this case in this case, Quotient is -7.8.
And -37.44 is approximately -37 As .44 is rounded off to .00 (As per law 0-4 is 0 and 5-9 is rounded up to the next digit. And 4.8 could be around off to 5. And now if -37 is divided by 5 estimated will be 7.4.
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if I have 645 markers, and they can fit 15 in a pack how many packs of markers do I have
Answers
You can have 43 packs of the 645 markers (645 ÷ 15 = 43)
Step-by-step explanation:
First, you can make 42.33 packs of markers with 645 markers and 15 markers per pack. This is calculated by dividing the total number of markers (645) by the number of markers per pack (15), which gives you 42.33.
Liling is making a quilt she starts with two small squares of material and custom along the diagonal then she arranges the four resulting triangles to make a larger square quilt block she wants the large quilt block to have an area of 36 square inches
Answers
Liling will end up with four triangles if she starts with two tiny squares of material and cuts them on the diagonal. Knowing the areas of each of the four triangles will help us calculate the size of the larger square quilt block.
We are aware that the area of a square can be calculated by multiplying one side's length by itself (A = s2). Each of the small squares' ensuing triangles has a base and height that are equal to one-half of its side because the small squares were cut on the diagonal. Therefore, each triangle has a surface area of (1/2) x (1/2) x s2 = (1/4) x s2 = (s2)/4.
If the large quilt block is made up of four of these triangles, then the area of the quilt block is 4 x (s^2)/4 = s^2. Since the area of the large quilt block is 36 square inches, we can set up the equation:
s^2 = 36
To find the length of one side of the large quilt block (s), we can take the square root of both sides of the equation:
s = √36
s = 6 inches
So, the length of one side of the large quilt block is 6 inches, and the area of the block is 36 square inches.
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9. 15 onzas de frijoles enlatados por $2.25 88 $2.25 ÷ 15÷
Answers
The price per ounce is given as follows:
$0.15 = 15/100.
How to obtain the price per ounce?The price per ounce is obtained applying the proportions in the context of this problem, dividing the total price by the number of ounces.
The parameters for this problem are given as follows:
Total price: $2.25.Number of ounces: 15.Hence the price per ounce is calculated as follows:
2.25/15 = $0.15.
Translation and missing informationThe total price was of $2.25 for 15 ounces, and the problem asks for the price per ounce.
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Find the product. (4m + 3)(4m − 3)
Answers
Answer:
= 16m² - 9
Step-by-step explanation:
(4m+3)(4m-3)
= 4m*4m + 4m*3 + 3*4m + 3*-3
= 16m² + 12m -12m - 9
= 16m² - 9
12.2 Apples and Oranges
At the corner produce market, apples cost $1 each and oranges cost $2 each.
1. Find the cost of:
a. 6 apples and 3 oranges
b. 4 apples and 4 oranges
c. 5 apples and 4 oranges
8 apples and 2 oranges
Unit 3: Linear Relationships
Lesson 12: Solutions to Linear Equations
Download
Answers
Answer: a. $12, b. $12, c. $13, d. $12
Step-by-step explanation:
a. 1+1+1+1+1+1 = 6, 2+2+2=6, 6+6=12
b. 1+1+1+1=4, 2+2+2+2=8, 4+8=12
c. 1+1+1+1+1=5, 2+2+2+2=8, 5+8=13
d. 1+1+1+1+1+1+1+1=8, 2+2=4, 8+4=2
Please help the question is a photo! We need to find the area and we use 3.14 or 22/7
Answers
The area of the circular figure which is the top of a can drink with a diameter of 3 inches is about 7.065 square inches
What is a circular figure?A circular figure is one that has no edges or sharp corners, and which is essentially round (in the form of a disc or the path described by rotary motion) in shape.
A circular object occupies the largest area per diagonal compared to other regular shapes, as the circular inscribes other regular shapes within its circumference.
The shape in the figure is a circle
The diameter of the circle, D = 3 in.
The formula for finding the area of a circle, A, for which the diameter is presented as follows;
Area of the circle, A = π·D²/4
The approximation of the value of π to be used are 3.14 or 22/7
The area is obtained by plugging in the values of D and π in the formula for the area of a circle as follows;
The area of the figure is; A = 3.14 × 3²/4 = 7.065
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A group of people answer the question:
***How many times did you shop at
Ascobury's last week?"
Here are the results:
[5]
visits v frequency
fv
0
5
1
14
2
18
3
7
4
6
Find the mean number of visits.
Answers
Mean with frequency represented by the number of times people visits the shop is equal to 1.9.
Let 'v' represents the visits of the people.
'f' represents the frequency that is number of times group of people visits the shop.
To calculate mean results of the table are as follow:
Visits ( v) frequency ( f) fv
0 5 0
1 14 14
2 18 36
3 7 21
4 6 24
Mean of the number of visits
= ( Sum of all the fv ) / ( Sum of all the frequency)
= ( 0 + 14 + 36 + 21 + 24 ) / ( 5 + 14 + 18 + 7 + 6 )
= 95 / 50
= 1.9
Therefore, the mean of the number of visits with the given frequency is equal to 1.9.
The above question is incomplete, the complete question is :
A group of people answer the question:
How many times did you shop at Ascobury's last week?
Here are the results:
Visits ( v) frequency ( f) fv
0 5
1 14
2 18
3 7
4 6
Find the mean number of visits.?
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marcella owns a certain number of candles, and decides to start buying more to open up a candle shop. she decides to start buying 13 more candles a week. after 8 weeks, she has 160 candles. how many candles did she start with?
Answers
Marcella started with 56 candles during her initial purchase
The given problem can be solved by arithmetic approach
Given,
After 8 weeks she has 160 candles
And also, she buys 13 more candles every week
To find her initial number of candles purchased,
Let her initial number of purchase of candles be 'x'
According to the question,
Initial number of candles + (8 weeks * 13 candles/week) = 160 candles
Substituting x, we get
x+(13*8)=160
or, x+104=160
or, x=160-104
or, x=56
Thus, we can say that initially Marcella had bought 56 candles.
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which procedure can reduce can reduce problems associated with the use of deception by a researcher? a. debriefing b. random sampling c. random assignment d. using only single-blind studies e. using only double-blind studies
Answers
Reporting on a mission, initiative, or the data obtained from it is known as debriefing. Debriefing can reduce problems associated with the use of deception by a researcher. So option a is correct.
Debriefing is the act of reporting on a mission, project, or the data gleaned from it. After an activity or event, a structured procedure examines the actions performed.
Technically speaking, it refers to a method of active intervention that is specialized and developed into more formal meanings like operational debriefing. It is divided into various categories, including, among others, psychological, military, and experiential debriefing.
The following crucial components are often included in effective debriefings:
1. Active participation that goes beyond merely taking criticism in a passive manner.
2. Developmental aim centred on growth and learning
3. A discussion of particular incidents
4. Information from several sources
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Solved by substitution
Answers
Answer:
32 & 12
Step-by-step explanation:
let age of andy = x
let age of brett = y
x + y = 44 (eq 1)
x= 8 + 2y (eq 2)
putting the value of x from 2 in 1
8 + 2y + y = 44
3y = 36
y = 12
x = 8 + 2(12)
x = 32
you work as an undergraduate student advisor and you keep track of all athlete students. your data contains information about their age, ethnicity, gender, their gpas and courses taken in year 1, year 2, year 3, and year 4. what type of data is this? cross-sectional data time-series data panel (longitudinal) data none of the above all of the above
Answers
Panel (longitudinal) data is data that is collected over multiple time points.
It is composed of repeated measurements of the same items, such as age, ethnicity, gender, GPAs, and courses taken over a period of time. This type of data allows us to compare changes in the same variables over a period of time. For example, we can compare the GPA of an athlete student in Year 1 to their GPA in Year 4 and look for changes that may have occurred. We can also observe how the courses taken in Year 1 may have had an impact on the GPA in Year 4. Panel data is useful to analyze changes in a population over time and can be used to make predictions about future trends.
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A ski resort is planning a year-end promotion by offering a Saturday night special for $109 per person. The high season rate for these rooms is $299. Management wants to hold some rooms for late arrivals that are willing to pay the high season rate. Assume the demand for the high season rate room is approximately normal with a mean of 50 and a standard deviation of 10.
(A) How many rooms should be set aside for full-paying skiers?
Answers
55 rooms should be set aside for full-paying skiers.
Now, According to the question:
Let C represents the contribution that is lost when a reservation is breached.
H represents the loss of opportunity that is associated with not having the availability of anything.
D rep the no- shows with regard to experience in the past
X represents the overbooked number.
All the values here represent the critical probability for yield management.
Let X rep the reserved seats for passengers with full fare
D rep the full fare tickets
F rep the price of full fare
D rep the price of discounted fare
Now, Solving the problem :
P(d< x) < (F -D)/ p × F
= (299 - 109)/0.8 × 299
= 71,012.5
The Z value for 0.71 probability is 0.5
U + Z* standard deviation = 50 + 0.5 *10
= 55 rooms
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Create the number line that represents the solution to the inequality of 3x - 8 greater than 7
Answers
The number line in the image below shows the solution to the inequality 3x - 8 > 7.
How to Create a Number Line that Shows the Solution of an Inequality?
Before we can create a number line that represents the solution of an inequality, we have to solve to find the solution first.
Given the inequality 3x - 8 > 7, solve for x:
3x - 8 + 8 > 7 + 8 (addition property of equality)
3x > 15
3x/3 > 15/3 (division property of equality)
x > 5
The solution is x > 5, therefore, the image attached below shows the number line of the solution.
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The correct answer is 15
Answers
Is that a question? You don't seem to have anything linked or a question posted?
=
Quadrilateral N' is the image of quadrilateral N under a dilation.
A
B
N
OG
IN
D
Answers
The center of dilation if Quadrilateral N' is the image of quadrilateral N under a dilation is; Point C
What is the center of dilation?The center of dilation is defined as a reference point that is used to appropriately scale the dilation of a figure.
Now, if we imagine that the corresponding vertices of the two quadrilaterals are extended, then it will be clear that the extensions intersect at a point C.
Therefore we can conclude that point C is the center of dilation by the fact that corresponding parts of a paragraphic intersect at a point.
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How do you do this problem
Answers
Answer: C)39
Step-by-step explanation:
6x+507+317+3x=122
9x+824=122
9x=122-824
9x=-702
x=-78
6x+507
6(-78)+507
-468+507
=39
Distribute: 5(2x + y -6)
Answers
Answer:
10x+5y-30
Step-by-step explanation:
5(2x+y -6)
5x2=10
5x (-6)= -30
=10x+5y-30
What is the least common denominator of 3/4 and 7/12
Answers
12 is the least common denominator between 3/4 and 7/12.
The least common denominator (LCD) of two or more fractions is the smallest number that can be divided by the denominators of each of the fractions without leaving a remainder.
What is the least common denominator in mathematics?The smallest number among all the common multiples of the denominators is the least common denominator when two or more fractions are provided.
Finding the least common multiple (LCM) of the denominators 4 and 12 will allow you to get the least common denominator of 3/4 and 7/12.
12 is the least frequent multiple of 4 and 12. Therefore, 12 is the least common denominator between 3/4 and 7/12.
Finding the denominators' multiples is another way to locate it. 43 = 12 is the least common multiple and the least common denominator, respectively.
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The midpoint of AB is M (-2,5). If the coordinates of A are (1,7), what are the coordinates of B?
Answers
Answer:
B(-5, 3)
Step-by-step explanation:
(1 + x)/2 = -2
1 + x = -4
x = -5
(7 + y)/2 = 5
7 + y = 10
y = 3
B(-5, 3)
help with these questions pls, thanks :)
Answers
Answer: Based on the formula I was taught, for your first problem it'd be the option that says 813.9 ft and for the second one it'd be your option with 2076.3 square inches.
Answer: D) 813.9 inches
Step-by-step explanation:
Formula for surface area of cylinder is:
A=2πrh+2πr2
r = 6
h = 15.6
A = 2π(6)(15.6) + 2π(6)^2
A = 187.2π + 2π(36)
A = 187.2π + 72π
A = 259.2π
If π is 3.14,
A = 259.2(3.14) = 813.9
What do I put in the boxes
Answers
Step-by-step explanation:
6
7 47
42
-------
R 5
47 ÷ 7 = 6.71428571429
In triangle MNO, Angle M is congruent to angle O. NO = 12 and OM=14. Find MN
Answers
The length of MN for this problem is given as follows:
MN = 12.
How to obtain the length of MN?The law of sines states that the sine of each angle is proportional to the side length opposite the angle.
The angle opposite to side MN is given as follows:
O.
Which is congruent to angle M, and the side opposite to angle M is:
NO = 12.
Hence the length of MN is also given as follows:
MN = 12.
(as it is opposite to a congruent angle to the opposite side with length of 12).
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Volume of Composed Figures What is the volume of this container?
15 cm 4,000 cm3 20 cm 6,000 cm3 10 cm 10 cm 900 cm3 20 cm 3,000 cm3 15 cm
Answers
The volume of the container is 4,500 cm3.
Calculate the volume of the two cubes that make up the container.
For the cube on the left, the volume can be found by multiplying the length (15 cm) by the width (10 cm) by the height (10 cm).
15 cm × 10 cm × 10 cm = 1,500 cm3
For the cube on the right, the volume can be found by multiplying the length (20 cm) by the width (15 cm) by the height (10 cm).
20 cm × 15 cm × 10 cm = 3,000 cm3
Add the two volumes together to find the total volume of the container.
1,500 cm3 + 3,000 cm3 = 4,500 cm3
Therefore, the volume of the container is 4,500 cm3.
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what does a table with two rows and columns of data represent?
-two separate linear functions
-a diagram
-two ordered pairs
-a linear function
Answers
A table with two rows and columns of data represent a linear function.
How is a linear function represented in a table?A table of values is linear if the rate of change is constant. A graph that is not vertical and is a straight line is linear. A linear equation is one that has the form y = mx + b. A value table is linear if the rate of change is constant.A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function since it is a straight line in the coordinate plane.A table with two rows and columns of data represent a linear function.To learn more about linear function refer to:
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