The question is about the angle of depression (see full question below). Please note that the correct answer, that is, the angle of depression from the platform to the center of the bridge, is 16.6⁰.
What is the solution for the Angle of Depression above?
Step 1
Recall that the bottom of the rectangle has the same dimensions as the top.
Therefore,
tan = [tex]\frac{opposite}{adjacent}[/tex]
Thus, tan x = 297/995
Step 2 - We locate or calculate the inverse tangent of both sides. This results in:
x = tan⁻¹ ([tex]\frac{297}{995}[/tex])
Hence, x = 16.6⁰ approximately.
The full question is given here:
Suppose you are standing in the middle of the platform of the world's longest suspension bridge, the Akashi Kaikyo Bridge. If the height from the top of the platform holding the suspension cables is 297 meters, and the length from the platform to the center of the bridge is 995 meters, what is the angle of depression from the platform to the center of the bridge?
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18.1 multiplying polynomial expressions by monomials
The act of Multiplying a polynomial by a monomial is an easy one. An example of this is given as Multiply x – y – z by -8x².
What are Polynomial Expressions?Polynomials are regarded as the sums of specific terms of a given form k⋅xⁿ. Here, the k stand for any number and n stand for a positive integer.
To Multiply x – y – z by -8x².
One has to first Multiply each term of the polynomial x – y – z by making use of the monomial -8x².
⟹ -8x² * (x – y – z)
= (-8x² * x) – (-8x² * y) – (-8x² * z)
Note that the * sign connote multiplication.
The next step is to add the like terms together;
The answer therefore is = -8x³ + 8x²y + 8x²z
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Probability and statistics for engineers and scientists 9th
Probability and Statistics for Engineers and Scientist is known to be a 9th Edition that was written by Walpole and Mayers, Ye. It is a book that address all questions related to Probability and Statistics.
What is Probability and statistics?The term probability and statistics is known to be an aspect or a branches of mathematics that helps to depicts the different laws that monitors random events, such as the collection.
Probability and Statistics for Engineers and Scientist is known to be a well defined and explained book that can help students in the field of engineering and it is said to be trusted.
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You are a driver of a dump truck with a trailer (dump bin) that is 21 feet long, 8 feet wide, and 6 feet tall. daily, you haul full loads of dirt from one location to another. the dump bin can hold dirt equivalent to 1.2 times its capacity. what is the minimum number of trips needed to haul 20,000 cubic feet of dirt?
Answer: I think A
Explanation:
When reacting na with cl2, we calculated that the theoretical yield should be 13
Answer:
96.15
Explanation:
when reacting with Na with Cl2, we calculated that the theoretical yield should be 13.0 grams. our actual yield was 12.5 grams. what is the percent yield? 96.15
What do we have to do to the conversion factor if we are dealing with units that measure area?
You would cube it so if theres a cube it answer than use that
The conversion factor to the units of the measure of area is squared. Thus, option D is correct.
What is a conversion factor?A conversion factor is given as the number that enables the changing of one set of units to another with the help of mathematical operations such as division or multiplication.
The area can be given as the region that is found bounded within the shape. The unit of area has been measured in square units. Thereby the conversion factor dealing with the area made to be squared. Thus, option D is correct.
The complete question is attached in the image.
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8-6 skills practice solving rational equations and inequalities
There are different kinds of rational equations and inequalities. An example is:
In order to simplify a rational number or rational expression, ----- the numerator and ------- and divide both of them by their -------What are rational equations?A rational equation is known to be a type of equation that has at least one fraction that the numerator and denominator are said to be polynomials.
The answer is In order to simplify a rational number or rational expression, Factor the numerator and denominator and divide both of them by their greatest common factor.
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Complete the following statements with the best answer. when one is using the standard normal distribution. p(z < 0) = ___________.
In Statistics, when you are is using the standard normal distribution, P(z < 0) = 0.5.
What is a normal distribution?A normal distribution is also referred to as the Gaussian distribution and it can be defined as a probability distribution that is continuous and symmetrical on both sides of the mean, which shows that all data near the mean have a higher frequency than data that are far from the mean.
This ultimately implies that, when you are is using the standard normal distribution, P(z < 0) must be equal to 0.5 because it has a median of zero (0).
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If there is a third-quarter moon on july 2, what is the approximate date of the next full moon? a) july 9th b) july 16th c) july 23rd d) july 30th
If there is a third-quarter moon on July 2, an approximate date for the next full moon is: A. July 9th.
What is a Moon?A Moon can be defined as the natural satellite of planet Earth that shines due to the Sun's reflected light, as it revolves around the Earth from west to east in 29½ days.
The phases of the Moon.In Astronomy, there are four (4) primary Moon phases and these are:
New MoonFirst QuarterFull MoonThird Quarter (Last Quarter)In conclusion, if there is a third-quarter moon on July 2, an approximate date for the next full moon would be July 9th because it takes 29½ days to revolve around the Earth from west to east.
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according to carl jung, which of the following best served the goal of self-realization?
Fill in the blank: data-inspired decision-making can discover _____ when exploring different data sources
Data-inspired decision-making can discover commonalities when exploring different data sources.
What is data-inspired decision-making?This is a decision-making strategy that involves making decisions by analyzing the data.
What does this method aim at discovering?The purpose of this method is to identify patterns or commonalities to make a decision. This is especially important when analyzing data sources.
For example, customer preferences can be determined by analyzing different sources such as surveys or sales patterns, and by finding out commonalities in these sources companies can make marketing decisions.
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Suppose a man is heterozygous for heterochromia, an autosomal dominant disorder which causes two different‑colored eyes in an individual, produced 25‑offspring with his normal‑eyed wife. of their children, 15 were heterochromatic and 10 were‑normal. calculate the chi‑square value for this observation.
The chi‑square value for this observation is 1.96
What is Chi-square?This is known to be a form of statistical test that is employed so as to investigate the differences that exist between categorical variables taken from a random sample.
It is used to construct or to judge goodness of fit that exist between expected and observed results.
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In the electrolysis of a molten mixture of rbcl and kbr. identify the product that forms at the negative electrode and at the positive electrode.
The product that are formed at the negatively charged electrode (cathode) and at the positively charged electrode (anode)
Strontium at cathode.Chlorine at anode.What is electrolysis?Electrolysis can be defined as the chemical decomposition of a chemical compound or substance into their respective elements by passing direct electric current through them in a solution (liquid) containing ions.
In the electrolysis of a molten mixture of rubidium chloride (RbCl) and Potassium bromide (KBr), the product that are formed at the negatively charged electrode (cathode) and at the positively charged electrode (anode)
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According to this credit report how many accounts has lily had sent to collections
According to this credit report the number of accounts lily had sent to collections is zero.
What are collections on credit report?Collections are known to be a form of a continuation of debt owed and it is one that can stay on a person's credit report for like 7 years from the date the debt was said to first has become delinquent.
Based on the information that was given, there was no account that Lillie had sent to the collections and thus it is 0.
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The principal square root of any nonnegative real number is always nonnegative.
First i've learned that perpendicular lines brainly
Answer:
Perpendicular lines are lines which intersect each other.
A polygon with all equal sides and equal angles is brainly
Answer:
It's a regular polygon
Explanation:
A polygon having equal sides and equal angles is a regular polygon. A regular polygon has three parts: Sides.
Express the interval as an inequality in the variable x. .
An experimenter is studying the effects of temperature, pressure, and type of catalyst on yield from a
certain chemical reaction. Three different temperatures, four different pressures, and five different catalysts
are under consideration.
a) If any particular experimental run involves the use of a single temperature, pressure, and
catalyst, how many experimental runs are possible?
b) How many experimental runs are there that involve use of the lowest temperature and two
lowest pressures?
c) Suppose that five different experimental runs are to be made on the first day of
experimentation. If the five are randomly selected from among all the possibilities, so that any
group of five has the same probability of selection, what is the probability that a different
catalyst is used on each run?
You live 17 miles from work. You can expect to drive a minimum of miles per week. You will work about 48 weeks per year, so you can expect to drive a minimum of miles per year. You have a vacation planned and you expect to drive approximately 2,000 miles round trip. If you take the vacation, you stay under your mileage restriction if leasing
In paragraphs 19 and 20 of this story, the man reflects back on his own father cooking for him, and he recalls one incident in particular that he feels bad about. Write a story about this incident, told in first person by the man’s father. Use details from the paragraphs, and add elaboration of your own to show the father’s feelings about what happened and how he reacted to it
People often write story about different incident. The story is given below.
The incident?The incident is a story that revolve around our character which I named Olu. He was an man who loved to make food for his son. His feel is immersed in all his love but Chide his son did not reciprocate his love.
The father was said about his child who did not look at the meal he has prepared for him. He was sick and dying and that was the only thing he could do for him. He knows he loves his son and his son loves him too, but this character of his displeased him but still he accepted and move on.
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The volume of a cylinder is 400???? cubic cm and its height is 4 cm.what is the radius?
Answer: 5.64 cm
Explanation:
Volume of a cylinder = π * r^2 * h →
400 = π * r^2 * 4 →
r = 5.64 cm :)
When the 0.10 m solution of hclo2 is allowed to come to equilibrium, what percent of the acid molecules are ionized?
If 0.10 m solution of hclo2 is allowed to come to equilibrium, the percent of the acid molecules that is ionized is 29%
We have
HClO2 = 0.1 mole = 0.012
HClO + H2O ⇄ ClO₂⁻ + H₂O
Ka = 0.1α x 0.1α / 0.1(1-α)
= 0.1α²/1-α = 0.12
We have to form a quadratic equation from the above
0.1α² = 0.012 - 0.12α
We write the equation to be
0.1α² + 0.012 - 0.12α = 0
To solve the equation above, the quadratic formula calculator was used.
[tex]\frac{-b+-\sqrt{b^2-4ac} }{2}[/tex]
alpha = 0.29
This is 29 percent. Therefore the percentage of ionization is 29%.
What is ionization?This is the process through which neutral ions are chraged to become electrically charged.
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A new car is purchased for 15500 dollars. The value of the car depreciates at 7. 5% per year. What will the value of the car be, to the nearest cent, after 6 years?
Assuming a new car is purchased for 15500 dollars. The value of the car after 6 years is $9709. 17.
Future valueUsing this formula
Future value=Principal (1-Interest rate)^Number of years
Where:
Principal=15500
Interest rate=7.5%
Number of years=6 years
Let plug in the formula
Future value=$15,500 ×( 1 - 0.075 )^6
Future value=$9.709.169
Future value = $9709. 17(Approximately)
Inconclusion the value of the car after 6 years is $9709. 17.
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Antigens are foreign proteins that invade the systems of organisms. Vaccines function by stimulating an organism’s immune system to develop antibodies against a particular antigen. Developing a vaccine involves producing an antigen that can be introduced into the organism being vaccinated and which will trigger an immune response without causing the disease associated with the antigen. Certain strains of bacteria can be used to produce antigens used in vaccines
The process described above is about how vaccines are designed using antigens.
What are Vaccines?Vaccines may be defined as substances that are used to enhance or catalyze the creation of antibodies in the human body.
When injected in the host, Vaccines help to provide immunity against one or more diseases.
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Strains of bacteria can be used to produce antigens used in vaccines and are given to individuals during Vaccination.
What is Vaccination?This is the process by which an individual's immune system becomes fortified against an infectious agent.
The inactive strain of the infectious agent is usually injected to elicit an immune response when future infection takes place.
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yall tmr my birthday and my SAT i rlly need help on this question
Answer:
B
Explanation:
I added the 1 to 4 and the 5 or more to get the numerator and then plugged in 100 as the denominator to get the probability.
p.s. have the loveliest birthday ever and good luck on your SAT's
what is the major organic product obtained from the following reaction?
In the image attached of the question, the major organic product obtained from the reaction is the second option.
What is an organic element?The organic elements are known to be some chemical elements that are said to be useful to life and are known to be found in almost all organic molecule such as carbon and hydrogen.
Conclusively, In the image attached of the question, we can see the major organic product obtained from the reaction is have a double bond of oxygen as the key product of the reaction.
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Why does zora neale hurston use nonstandard english in this excerpt? to emphasize the relationship between john and his parents to provide a historical context in which the events occur to portray the dialect of african americans during the period to reflect the mixed emotions john’s mother has about her child
The reason why zora neale used Non standard English was in order for her to portray the dialect of African Americans during the period.
What is a dialect?This is a way of speaking a particular language that is peculiar to a group of persons.
The lady used non standard English to show us how Black Americans spoke their own version of the English language at the time.
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Answer: to portray The dialect of African Americans during the period
Explanation:
trust me
The main acid in the stomach is hydrochloric acid (hcl). which chemical equations show a reaction that occurs when someone takes an antacid? check all that apply.
The chemical equations that show a reaction that occurs when someone takes an antacid are;
HCl + NaHCO₃ -> NaCl + H₂O + CO₂2HCl + CaCO₃ -> CaCl₂ + CO₂ + H₂O2HCl + Mg(OH)₂ -> MgCl₂ + 2H₂OWhat is the correct chemical equation?
Hydrochloic acid would normally react with the basic substances in the stomach. Now, these substances that react with hydrochloric acid in the stomach are magnesium hydroxide, sodium bicarbonate and calcium carbonate.
Thus, from the above dewscription, the chemical equations that show a reaction that occurs when someone takes an antacid are;
HCl + NaHCO₃ -> NaCl + H₂O + CO₂2HCl + CaCO₃ -> CaCl₂ + CO₂ + H₂O2HCl + Mg(OH)₂ -> MgCl₂ + 2H₂ORead more about chemical equations at; https://brainly.com/question/11231920?source=archive
What is the value of x? sin64°=cosx enter your answer in the box.
Answer:
x = 26
Explanation:
x = cos^-1(sin(64))
= 26
During the halftime performance for a football game, the color guard is planning a new formation in which seven members stand around a central point and stretch their flag to the person immediately to their left. 10. what is the measure of each exterior angle of the formation?
There are different kinds of angles. The measure of each exterior angle of the formation is 51.4.
What is a exterior angle in math?The term exterior angle is known to be the angle that is found between a side of a polygon and that of an extended adjacent side.
The shape of the halftime is regular heptagon.
Note that a regular heptagon has 7 congruent sides and 7 congruent interior angles.
So the exterior angles are said to be congruent, based on the fact that angles supplementary to congruent angles are regarded as congruent.
So Let take n as the measure of each exterior angle.
7n = 360
n= 360/n
To Solve for n =51.4
Therefore, The measure of each exterior angle of the formation is 51.4.
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Each of the following statements is arguably true of thermometers. Which of them is most helpful to keep in mind if you are conducting an experiment to measure the specific heat of a material?
The statement that is true of thermometers is; The temperature reported by a thermometer is never precisely the same as its surroundings.
What is the function of thermometer in an experiment?In the experiment to determine the specific heat of a material, the theory will be one which explains that when a heat interchange takes place between two bodies that were having different temperatures at the beginning, the quantity of heat the warmer body looses is equal to that gained by the cooler body to reach the equilibrium temperature. This is true only if no heat is lost or gained from the surrounding.
Now, If heat is gained or lost from the surrounding environment, the temperature readings by the thermometer will be incorrect. The experimenter should therefore have in mind that for accurate results, the temperature recorded by the thermometer is similar to that of the surrounding at the beginning of the experiment and if it differs then note that heat is either gained or lost to the environment.
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