A camera is mounted on a tripod feet high at a distance of feet from george, who is feet tall. look at the model to the right. if the camera lens has angles of depression and elevation of , will george's feet and head be seen by the lens? if not, how far back will the camera need to be moved to include george's feet and head?
Answers
To capture his feet and head, the camera will need to be moved at least one foot backward. This is an Angles of Elevation and Depression theorem exercise.
What is the Angle of Elevation Theorem?The angle of elevation is the angle between the line of sight and the horizontal line when an observer looks up. While the Angle of Depression refers to the angle that is formed when the observer looks down.
The formulas are given as:
tan θ = y/x ⇒ θ = tan -1 (y/x).
How to calculate the distance required for the camera to capture Geroge completelyLet us assume that x is the distance in feet that the tripod must be moved back.
Recall that the angle of depression and elevation as given in the question (full version attached) is 20°
The height of the Tripod is 4 feet, at a distance of 10 feet, therefore,
tan (20°) * (10 + x) = 4
⇒
x =4/tan (20°)-10
x= 4/(10.989909678 - 10)
x = 0.9899
x ≈ 1 feet.
Hence the camera must be moved back about 1 feet to capture Geroge..
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Related Questions
A company produces light bulbs each week. written in scientific notation, which is the best estimate of how many light bulbs the company will make in weeks? light bulbs light bulbs light bulbs light bulbs
Answers
The number of light bulbs that the firm will make in 9.36 × 10² weeks is 4.27 × 10^(6) bulbs.
What is Scientific notation?This is known to be the method used to write a figure that very large or very small numbers.
Note that when the company makes a fixed quantity of light bulbs in a week, the amount of light bulbs can only be seen or found by multiplying that quantity by the number of weeks.
4.56 * 10^3 * 9.36 * 10^2
= 42.6816 * 10^5
= 4.26816 * 10^6.
Therefore, The company will produce 4.27 * 10^6 light bulbs in that time frame.
See full question below
A company produces 4.56*10^3 light bulbs each week. Written in scientific notation, which is the best estimate of how many light bulbs the company will make in 9.36*10^2 weeks?
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A small rodent lives in an area where the average temperature has been increasing drastically over a very short period of time. As a result, this species of rodent will most likely _____. Have more offspring in order to increase its survival rate evolve to have less hair over the course of a few years become the predominant form of life become extinct if the temperature gets too high
Answers
Alicia accidentally hit the bumper of her car by driving into a tree. she has a car insurance policy with $1000 deductible. the total damage to the car is $500. how much will the car insurance company pay in this scenario?
Answers
Answer:
nothing.
Explanation:
trust me
9-4 skills practice solving quadratic equations by factoring
Answers
The expression x^2 + 6x + c is a quadratic expression, and the value of c that makes the trinomial a perfect square is 9
How to find the value of c that makes the trinomial a perfect square?The expression is given as:
x^2 + 6x + c
Take the coefficient of 6
k = 6
Divide by 2
k/2 = 3
Take the square of both sides
(k/2)^2 = 9
The value of c is:
c = (k/2)^2 = 9
So, we have:
c = 9
Hence, the value of c that makes the trinomial a perfect square is 9
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identify the correct descriptions of these major anchorages that thrived because of powerful rulers who wished to generate commercial wealth.
Answers
A major anchorage that thrived because of powerful rulers who wished to generate commercial wealth is Melaka.
What is an entrepot?An entrepot can be defined as a trading station that is situated or established at the borders between communities and towns in a country, so as to make trade-related changes possible for different trade partners.
Basically, Melaka is a key cosmopolitan entrepot that is situated (located) or established to the east of the Bay of Bengal and it thrived because of its close proximity to the Malayan tropical produce.
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According to roosevelt, what was the true goal of the new deal? to rebuild the us to restore us values to remind people of the us how to work
Answers
According to Franklin Delano Roosevelt, the true goal of the New Deal is: B. to restore US (American) values.
Who is Roosevelt?Franklin Delano Roosevelt was an American politician and statesman who was elected to serve as the 32nd President of the United States of America in 1933. Also, he was born on the 30th of January, 1882 in Hyde Park, New York, United States of America.
What is the New Deal?The New Deal was a collection of government reform programs that were established by President Franklin Delano Roosevelt between 1933 and 1939 in the United States of America so as achieve the following:
Boost the economy.Guard against economic disasters.Provide employment opportunities for the people.In conclusion, we can deduce that in accordance with Franklin Delano Roosevelt, the true goal of the New Deal is to restore US (American) values.
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Answer:
B. to restore US values
Explanation:
Edge 2022
select the correct proper or common name for the compound.
Answers
Answer:
Select the correct proper or common name for the compound. ) ale F F The compound is named: benzyl 2,3,4-trifluorobutanoate phenyl 2,3,4-trifluorobutanoate phenyl 1,2,3-trifluorobutanoate O 1,2,3-trifluoropropylbenzoate Classify the compound by family. The compound is an ester an anhydride an acid chloride a carboxylic acid an amide.
Explanation:
Assume a company has two divisions, a and b. the company’s overall sales, overall contribution margin ratio, common fixed expenses, and net operating income are $500,000, 48%, $50,000, and $10,000, respectively. if division a has a contribution margin of $180,000 and division b’s contribution margin ratio is 30%, then what is division a’s sales?
Answers
The value of the sales of division A from the contribution margin ratio, and common fixed expenses given is $300,000.
How to calculate sales?
Overall sales = $500,000
Overall Contribution margin will be:
= Overall Sales x Overall Contribution margin ratio
= $500,000 x 48%;
= $240,000
Division B's Contribution margin will be :
= Overall Contribution margin less Division A's Contribution margin
= $240,000 - $180,000
= $60,000
Division B's Sales will be:
= Division B's Contribution margin/Division B's Contribution margin ratio
= $60,000/30%
= $200,000
Therefore, Division A's Sales :
= Overall Sales - Division B's Sales
= $500,000 - $200,000
= $300,000
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For a laboratory assignment if the equipment is working the density function of the observed outcome
Answers
Based the density function of the observed outcome, the probability [tex]P(x\leq \frac{1}{3} )[/tex] is equal to 0.1388.
What is a density function?A density function can be defined as a type of function which is used to represent the density of a continuous random variable that lies within a specific range.
Given the following density function:
[tex]f(x)=\left \{ {{2(1-x),\;0 < x < 1} \atop {0,\; otherwise}} \right.[/tex]
Next, we would calculate [tex]P(x\leq \frac{1}{3} )[/tex];
[tex]P(x\leq \frac{1}{3} )=\int\limits^\frac{1}{3} _0 {f(x)} \, dx \\\\P(x\leq \frac{1}{3} )=2 \int\limits^\frac{1}{3} _0 {(1-x)} \, dx \\\\P(x\leq \frac{1}{3} )=2|x-\frac{x^2}{2} |\limits^\frac{1}{3} _0\\\\P(x\leq \frac{1}{3} )=2[\frac{1}{3} -\frac{1}{2} (\frac{1}{3})^2]\\\\P(x\leq \frac{1}{3} )=2[\frac{1}{3} -\frac{1}{18}]\\\\P(x\leq \frac{1}{3} )=0.1388[/tex]
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Christopher runs a farm stand that sells apples and bananas. Yesterday christopher sold 35 pounds of apples and 34 pounds of bananas for a total revenue of $163. 50. Today he sold 15 pounds of apples and 17 pounds of bananas for a total revenue of $76. 75. Determine the price of each pound of apples and the price of each pound of bananas
Answers
The equation computed shows that the price of apple is $2 and the price of banana will be $2.75.
How to compute the equation?Christopher sold 35 pounds of apples and 34 pounds of bananas for a total revenue of $163.50. This will be:.
35a + 34b = 163.50
He also sold 15 pounds of apples and 17 pounds of bananas for a total revenue of $76.75. This will be:
15a + 17b = 76.75
Equate both equations
35a + 34b = 163.50 ..... i
15a + 17b = 76.75 ...... ii
Multiply equation i by 15.
Multiply equation ii by 35
525a + 510b = 2452.50 .... iii
525a + 595b = 2686.25 .... iv
Subtract equation iii from iv
85b = 233.75
b = 233.75/85
b = 2.75.
The price of banana is $2.75.
The price of apple will be:
35a + 34b = 163.50
35a + 34(2.75) = 163.50
35a + 93.50 = 163.60
35a = 163.50 - 93.50
35a = 70
a = 70/35
a = 2
The price of apple is $2.
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What was one of the primary challenges that lenin faced in converting russia into a communist state?
Answers
Envision algebra 2 answer key pdf additional practice
Answers
Transforming the function f(x) involves changing its position
The function f(x) is translated 4 units up to create the function g(x)
How to translate the function?
From the complete question (see attachment), we have:
f(x) = |x|
g(x) = f(x) + 4 = |x| + 4
The above means that:
The function f(x) is translated 4 units up to create the function g(x)
Also, the transformation ensures that the domain of both functions are the same, however the range of function g(x) is g(x) >= 4
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7-4 practice parallel lines and proportional parts
Answers
Parallel lines in geometry are a set of two lines in the same plane that are equidistant to each other. Put simply, they are two perpendicular lines that never meet or intersect.
What are proportional parts in geometry?Mostly used in Triangular Geometry, the theorem of Proportional parts, describes a situation where there is equality of proportion in the dimensions of a shape.
The dimensions referred to above are:
HeightWidthDepth etc.In triangular geometry, a pair of triangles are said to b proportional if they both have similar perimeters, hence corresponding sides.
It is to be noted that the question seems to be missing some information hence the general answer.
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Identify a feeling that ginsberg conveys with his use of style, structure, and theme.
Answers
Answer: C. A sense that the speaker feels out of place in 1950s America
Explanation:
Fast food restaurants keep food warm by placing them under heat lamps. These lamps transfer heat by what means?
Answers
Answer:
Fast food restaurants keep food hot with infrared lamps. The heat is transferred to the food by radiation
Explanation:
the heat lamps produce radiation just like a microwave.
Describe what these people are doing or feeling using an expression with tener
Answers
People often feel receptive or possessive when using an expression with tener.
What is a tener expression?The Spanish verb "tener" is known to be a term that connotes, to have or possess.
Note that the term is often used in a lot of ways such as "to accommodate", "to experience", "to hold", etc.
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What is the product of 33 and 10\sqrt{28}10 28 in simplest radical form?
Answers
The product of 3 and 10√28, in its simplest radical form is: 60√7.
What is Product?Product simiply means the result you get by multiplying two quantities.
Given the values, 3 and 10√28, the product would be found as shown below:
3 × 10√28
= 30√28
Simplify the radical
30√(4 × 7)
30 × 2√7
= 60√7
Therefore, the product of 3 and 10√28, in its simplest radical form is: 60√7.
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The element that would be the most effective at accepting electrons from another reagent is
Answers
Answer:
Matching the elements to the appropriate blanks as follows :
1) The element that would most effective at accepting electrons is ; CI
2) The element that would be the best insulator is ; Cl
3) The element best to form an ionic compound with sulfur is ; Rb
The acceptance of electrons by elements depends on the electronegativity of the element. from the options listed the element with the highest level of electronegativity is Cl ( chlorine ) therefore it the most effective at accepting electrons
Cl ( chlorine) is a non metal and non-metals are semi-conductors or insulators. therefore Cl would act as the best insulator when compared to other elements.
when metals react with non-metals they form an ionic compound. for sulfur the best metal to react with it is Rb ( soft silvery metal ) and the reaction of Rb and sulfur in hydrogen gas. results in Rb₂S₅
Hence we can conclude Matching the elements to the appropriate blanks as follows : The element that would most effective at accepting electrons is ; CI, The element that would be the best insulator is Cl ,The element best to form an ionic compound with sulfur is ; Rb
Explanation:
Hope this helps :)
To the heated water 0.5 kg of water at t3 = 20° c is added. what is the final temperature of the water, in kelvin?
Answers
The final temperature of the water after addition to the heated water at 20° C in degree kelvins' is calculated as; 295.23 K
What is the Final Temperature?We are given;
mass of the initial water; m₁ = 2.5 kg
specific heat capacity of water; c = 4189 J/kg.K
initial temperature of water; T₁ = 13.5 ⁰C
final temperature of the water; T₂ = 22.5 ⁰C
mass of the final water; m₂ = 0.5 kg
initial temperature of the final water; T₁,i = 20 ⁰C
If the system is isolated, then we have;
m₁*c*(T_f - T₂) + m₂*c*(T_f - T₁,i) = 0
c will cancel out to give;
[2.5T_f - (2.5*22.5)] + [0.5T_f - (0.5*20)] = 0
2.5T_f - 56.25 + 0.5T_f - 10 = 0
3T_f = 66.25
T_f = 66.25/3
T_f = 22.08°C = 295.23 K
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What does "number 8 wire" mean to New Zealanders?
A It represents the ingenuity of New Zealanders, who, it is said, can fix anything with some
number 8 wire.
B. It represents the racial struggles between Europeans and Maori and the wire that was used to
create barriers
C. It represents the struggle of the bush, where number 8 wire was used to create rabbit-proof
fencing
D. It represents the idea that New Zealanders are outdoorsy and like to work on ranches.
Answers
Answer:
A
Explanation: Accordingly, the term "number 8 wire" came to represent the ingenuity and resourcefulness of New Zealanders, and the phrase "a number 8 wire mentality" evolved to denote an ability to create or repair machinery using whatever scrap materials are available on hand.
A It represents the ingenuity of New Zealanders, who, it is said, can fix anything with some
number 8 wire.
B. It represents the racial struggles between Europeans and Maori and the wire that was used to
create barriers
C. It represents the struggle of the bush, where number 8 wire was used to create rabbit-proof
fencing
D. It represents the idea that New Zealanders are outdoorsy and like to work on ranches.
identify the true and false statements related to race, ethnicity, and work.
Answers
Race is the distinctive physical trait of a person, ethnicity is the social group an individual belongs to, while work is the physical or mental activities an individual is involved with.
The statements about race, ethnicity, and workThe statements made about race, ethnicity, and work that are true include the following:
Some lower-level jobs have shifted from African Americans to Hispanics over time.Blacks are overrepresented in nursing, psychiatric, and home health aide positions.The median income for Hispanics is higher than the median income for blacks.The statements made about race, ethnicity, and work that are false include the following:
The median income for whites is higher than the median income for Asian Americans.Learn more about ethnicity here:
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Read the following scene from the inheritors. Fred jordan's cell. Slowly, at the end left unchalked, as for a door, she goes in. Her hand goes up as against a wall; looks at her other hand, sees it is out too far, brings it in, giving herself the width of the cell. Walks its length, halts, looks up. ) and one window—too high up to see out. (in the moment she stands there, she is in that cell; she is all the people who are in those cells. Emil johnson [who works at the courthouse], appears from outside. ) madeline: (stepping out of the cell door, and around it) hello, emil. Emil: how are you, madeline? how do, mr morton. (ira barely nods and does not turn. Emil turns back to madeline) well, i'm just from the courthouse. Looks like you and i might take a ride together, madeline. You come before the commissioner at four. A possible disadvantage to watching this scene, as opposed to reading it silently, is that viewers are required to conceptualize the setting of the jailhouse. Required to interpret movements in absence of stage directions. Required to imagine the appearance of the characters. Required to visualize the props used within the scene
Answers
One of the disadvantages of watching the scene rather than reading it is the difficulty in interpreting the movements in the absence of stage directions.
What are stage directions?They are instructions.Show how actors must express their characters through movements and behaviors.They show how the scenario should be set.The stage directions shown in the text above show how actors should move through stage directions. This is shown in detail and specifies that it can be missed if the scene is watched and not read.
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when a company cannot fully satisfy demand because of a constraint, which of the following describes an action that should not be taken?
Answers
The action that should not be taken by the company is tightening the constraints.
How does a company satisfy their demands?A company is able to satisfy the demands from its customers through the following:
empowering of customers as they like to be valued,satisfying fragmented demands,increasing agility andintroducing innovative services.Therefore,when a company cannot fully satisfy demand because of a constraint, the action that should not be taken by the company is tightening the constraints.
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Which is one way surface water may become groundwater
Answers
Surface water becomes groundwater through infiltration.
What is infiltration?Infiltration is a term to refer to the method by which water seeps into the ground to recharge underground water reservoirs. In this process, the water molecules pass through the soil and are grouped in underground water deposits.
Why is groundwater important?Groundwater is important because it is a reservoir of fresh water for consumption. Additionally, these reservoirs help preserve the surrounding vegetation species.
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Which human activity would preserve non renewable resources
Answers
Answer:
conserving and limiting
Explanation:
Hope this Helps!
-Justin
Which of the following statements about the art of the Pacific Islands is false?
A.
Traditional religions forbid the making of religious art.
B.
Carving is a specialized art form that is practiced in the Pacific Islands.
C.
Featherwork is an art form of the Pacific Islands.
D.
Shells are used for artwork.
Answers
Answer:
The answer is A. Traditional religions forbid the making of religious art.
Explanation:
A.
Traditional religions forbid the making of religious art.
B.
Carving is a specialized art form that is practiced in the Pacific Islands.
C.
Featherwork is an art form of the Pacific Islands.
D.
Shells are used for artwork.
According to your research, you need to budget for insurance and gasoline if you choose to buy or lease the new car. If you choose to buy the used car, you need to budget for insurance and gas
Answers
Based on your research, you need to budget $275 for insurance and gasoline if you choose to buy or lease the new car and If you choose to buy the used car, you need to budget $225 for insurance and gas.
What is budget?A budget is a term that connote the estimation that is done for revenue and expenses in a a specified future timeframe.
It is known to be often used by governments, businesses, and individuals and research has shown that a person needs to budget $275 for insurance to buy or lease the new car.
See full question below.
According to your research, you need to budget _____
for insurance and gasoline if you choose to
buy or lease the new car.
If you choose to buy the used car, you need to budget _____
for insurance and gas.
$225 $200
$250 $225
$275 $250
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Answer:
$275
$225
Explanation:
Which condition feeds a tropical storm as it develops into a hurricane?
Answers
Answer:
heat and moisture
Explanation:
i took the quiz
Question 1 with 1 blank si la puerta no está abierta, está 1 of 1. Question 2 with 1 blank marco está 1 of 1 porque tiene un examen hoy. Question 3 with 1 blank juan necesita dormir porque está 1 of 1. Question 4 with 1 blank felipe está 1 of 1 porque no encuentra nada interesante que hacer. Question 5 with 1 blank ana está 1 of 1 porque no encuentra el libro que busca. Question 6 with 1 blank debes limpiar (clean) el piso porque está 1 of 1
Answers
The missing words in the presented sentences are:
cerradapreocupadocansadoaburridoenojadasucioHow to identify missing words?To identify the missing words in each sentence, we must review its basic structure, making sure that it has a subject, verb, and complement.
Additionally, we must identify to which category the missing words correspond, in this case they are adjectives. According to the above, the complete sentences would look like this:
1. Si la puerta no está abierta, está cerrada.
2. Marco está preocupado porque tiene un examen hoy.
3. Juan necesita dormir porque está cansado.
4. Felipe está aburrido porque no encuentra nada interesante que hacer.
5. Ana está enojada porque no encuentra el libro que busca.
6. Debes limpiar el piso porque está sucio.
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Suppose that 30% of a population carries a certain gene. you want to estimate the probability that it will take at least a sample of four to find a person that carries the gene, how could you simulate a person having or not having the gene?
Answers
Answer:
A
Explanation:
Since only 30% of the population carries the gene, that would mean 70% doesn't carry it. Since you are using 10 digits for this experiment (0-9) this would mean that 0-2 would carry the gene (this equals 30%) and 3-9 would not (70%)