∆BDI is necessarily a right triangle, since the squares of the two smaller sides is exactly the square of the longest side.
3² + 4² = 9 + 16 = 25 = 5²
Then the angle bisector AD forms a right angle with the base BC - this means AD is an altitude of ∆ABC.
Since AD bisects the angle at vertex A, we further know that ∆ABC is isosceles, since both ∆ABD and ∆ACD are right triangles with the same height AD. Then the length of BC is twice the length of BD, and ∆ABC has a base of length 8.
Let θ be the measure of one of the base angles of ∆ABC (angle ABC, for instance). Then in ∆BDI, we have the trigonometric relationship
tan(θ/2) = 3/4
from which we get
θ/2 = arctan(3/4)
θ = 2 arctan(3/4) ≈ 73.74°
Then the height of ∆ABC is
tan(θ) = AD/4
AD = 4 tan(θ)
AD = 4 tan(2 arctan(3/4))
AD = 4 • 2 tan(arctan(3/4)) / (1 - tan²(arctan(3/4)))
AD = 4 • 2 • 3/4 / (1 - 9/16) = 96/7
Then the area of ∆ABC is
1/2 • 8 • 96/7 = 384/7
Simplify √16y^16
O 4y^4
O 4y^8
O 8y^4
O 8y^8
Answer:
Pull terms out from under the radical, assuming positive real numbers.
4
y
8
Explanation:
Fill in the blank with the correct form of the present perfect tense. los hombres ____________________ por muchas horas en el mar. han pescado hayan pescado tienen pescado han pescando
The correct form of the present perfect tense. los hombres han pescado por muchas horas en el mar.
What is the terms about?The Spanish terms "The correct form of the present perfect tense. los hombres han pescado por muchas horas en el mar. " is known to be:
The correct form of the present perfect tense. men have fished for many hours in the sea and thus this is the correct terms.
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Answer: han pescado
Explanation:
According to mla guidelines, what is the best way to use this sentence in her essay without plagiarizing?
Mai bought a wedge with a central angle of 45 degrees and radius 10 centimeters. what is the area of the top surface of this wedge?
The area of the top surface of wedge shaped cheeses bought by Mai is; 39.3 cm².
How to find the area of a Circular Sector?The area of a circular sector is the total space occupied by it. The sector area is half of the product of the square of radius of the circle and the central angle.
It can be calculated if θ is measure in degree as;
A = πr²θ/360
We are given;
Radius; r = 10 cm
Central Angle; θ = 45°
Thus;
A = π(10)² * 45/360
A ≈ 39.3 cm²
Thus, the area of the top surface of wedge shaped cheeses bought by Mai is 39.3 cm².
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One professional technique to let out your frustration about a work situation is to ______. a. explode at your boss b. dwell on the problem c. distract yourself d. keep your anger inside please select the best answer from the choices provided
Answer:
One professional technique to let out your frustration about a work situation is to distract yourself.
Answer:
B
Explanation:
Which term could also be used to call the federal reserve brainly
The Federal reserve system (FRS) generally called Fed.
Why is it called the Federal Reserve?Instead of banks keeping what they regarded as their reserve deposits with each other, have them keep their reserve deposits with a central federal bank called Federal Reserve Banks.
Thus the primary function of the new central bank was to consolidate the reserves of the banking system.
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Answer: the answer is bankers bank
Explanation:
This is the name of the study in which participants were told a woman would act spontaneous or told she was
instructed to act cold or warm.
Answer:
salem witch trials
Explanation:
7. Based on Scientist 1's explanation, a rock trail that is
33 cm wide was most likely made by a rock with
approximately what width?
A. 10 cm
B. 25 cm
C. 50 cm
D. 65 cm
Please explain how you got your answer :)
Rock trails are the passages and paths that are made by rocks of different sizes in a region. A rock trail with 33 cm wideness is made of 50 cm wide rock. Thus, option C is correct.
What is wideness?Wideness is the measure of the broad and the breadth and is the measure of the unit of length or the height.
According to the scientist 1, the rock trail left by the rock is 2/3 so the width of the rock is given as,
3/2 × 33 = 49.5 cm
Therefore, 50 cm is the width.
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Cooper went into the grocery store at 4:40 p.m. he left the store at 5:13 p.m. how long was cooper inside the grocery store?
Answer:
33 minutes
Explanation:
So, Copper went into the store at 4:40 p.m. then came out at 5:13 p.m.
One way to visualize this is to first count the minutes to 5:00 p.m. and then add the minutes after that. So, there is 20 minutes till 5:00 p.m., and then 13 minutes until 5:13 p.m. 20 + 13 = 33 minutes. This makes it easier to see how long Copper took in the store.
Hope this helps!! If you have any questions about my work, please let me know in the comments!
One activist who lobbied successfully to pass the agricultural labor relations act of 1975 was brainly
One activist who lobbied successfully to pass the agricultural labor relations act of 1975 was Dolores Huerta.
Which of the subsequent changed into a end result of the rural revolution?Many small farmers have become tenant farmers or moved to cities, enclosures have become landmarks of rich landowners, and landowners experimented with new agricultural methods.
Dolores Huerta changed into additionally instrumental withinside the enactment of the Agricultural Labor Relations Act of 1975. This changed into the primary regulation of its type withinside the United States, granting farm workers in California the proper to together arrange and a good buy for higher wages and operating conditions.
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Identify and explain at least one inner conflict encountered by huck in chapters 14-16. use at least 50 words and include a specific example.
The example of inner conflict encountered by Huck in chapters 16 is that His conscience troubles.
What is Huck's internal conflict in Chapter 16 about?In Chapter 16, it tells that Huck's conscience troubles him a lot in the case of Him helping Jim escape from his “original owner,”
He knows what Miss Watson has done for Him and as such, this made him to have inner conflict.
Therefore, The example of inner conflict encountered by Huck in chapters 16 is that His conscience troubles.
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Tamara is building braces for a shelf. she will attach each brace to the front edge of the 6-inch shelf and 3 inches down the wall. if she uses 3 braces for the shelf, which measurement is closest to the amount of bracing she will need in inches?
The measurement that is closest to the amount of bracing she will need in inches is 6.7 inches.
Measurement that is closest to the amountUsing Pythagorean theorem for
Let x represent the measurement
Hence
x=√3²+6²
x=√9+36
x=√45
x=6.708
x=6.7 inches (Approximately)
Therefore the measurement that is closest to the amount of bracing she will need in inches is 6.7 inches.
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From previous experience, the owner of an apple orchard knows that the mean weight of gala apples is 140 grams. there has been more precipitation than usual this year. the owner believes the weights of the apples will be heavier than usual and therefore the crop will be more profitable. this will allow the owner to expand the orchard. the owner takes a random sample of 30 apples and records their mean weight. what is the consequence of a type i error in this situation?
The consequence of a type I error in this situation is that the owner believes the crop will be more profitable and expands the apple orchard.
What is a type I error?
A type I error can be defined as a type of error that occurs when the null hypothesis is rejected, even though it's actually true.
This ultimately implies that, a type I error concludes that a given result is statistically significant, whereas, in reality, it was due to luck, chance or other unrelated factors.
In this scenario, the consequence of a type I error in this situation is that the owner believes the crop will be more profitable and expands the apple orchard, when the true mean weight of the apples is actually lesser than 140 grams.
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A toy manufacturer wants to see how long, on average, a new toy captures children's attention. he tests children selected at random and finds that their mean attention span is minutes with a standard deviation of minutes. if we assume that attention spans are normally distributed, find a confidence interval for the mean attention span of children playing with this new toy. then find the lower limit and upper limit of the confidence interval.
carry your intermediate computations to at least three decimal places. round your answers to one decimal place. (if necessary, consult a list of formulas.)
lower limit:
upper limit:
Answer: Lower CI=21-t(0.025, 16)*7/sqrt(17)=21-2.12*7/sqrt(17)=17.4
upper CI=21+t(0.025, 16)*7/sqrt(17)=21+2.12*7/sqrt(17)=24.6
Explanation: Because there both close and equal
Based on the exponential regression model, which is the best estimate of the value of the account 12 years after it was opened? $8,910 $8,980 $13,660 $16,040
The best estimate of the value of the account 12 years after it was opened is; B: $8,980
How to solve exponential regression Model?
The exponential regression model can be written as exponential function in the form; y = abˣ
From the attached table, after 0 years, the account value is $5000. Thus;
5000 = a * b⁰
a = $5000
After two years, we have;
5510 = a * b²
5510 = 5000 * b²
b² = 5510/5000
b = √ 5510/5000
b = 1.05
Thus, after 12 years, the account value is;
y = 5000 * 1.05¹²
y = $8980
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This part of a letter is called the heading. salutation. body. closing.
Based on the excerpt, this part of a letter is called the: C. body.
What are the parts of a letter?Generally, there are four (4) main parts of a letter and these include the following:
HeadingSalutationBodyClosingIn English literature, the body of a letter comprises a detailed information about the subject matter or topic being discussed.
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Complete Question:
Read part of a letter
I believe our school should promote Earth Day
activities. We could encourage efforts to walk to school,
and we could dedicate the afternoon to tending our
school grounds.
This part of a letter is called the? heading. salutation. body. closing.
Answer:
c body
Explanation:Good luck
The work of which scientist help to explain lights ability to propagate through a vacuum
Answer: the answer is maxwell
What are the recommended steps to take to reduce germs when washing your hands?
Answer:
My steps for myself
Wash my hands after anything I eat.
i never leave my house without washing my hands even if I’m going to be late to school.
Explanation:
For me I wash mine for a few minutes.
The steps that should be taken to reduce germs when washing your hands are mentioned below:
Take any disinfected liquid few dropsRub hand properly and wash with water properlyWhy hand washing is important?Hand washing is a very important way of stopping the spread of infectious diseases. We saw this especially during the pandemic when there was a wider call for hand washing.
The statement “Stop Germs! Wash Your Hands” on the CDC poster is meant to to inform people of when, how, and why to wash their hands.The use of gloves during food handling helps to prevent foodborne illness. They do so by creating a barrier between the food and the hands.
Also, a proper handwash must be practiced before wearing gloves and after removing them, and gloves should be appropriate (avoid latex gloves) and must be changed frequently.
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Which agile framework breaks the workload into smaller increments to improve team focus and simplify testing?.
Scrum is the agile framework that breaks the workload into smaller increments to improve team focus and simplify testing.
What is an Agile framework?An agile framework may be defined as a detailed technique for planning, managing, and accomplishing any task in a precise manner. It is conceived for teams and to support organizations' practices.
The complete question is as follows:
Design ThinkingScrumWaterfallDevOpsI don't know this yet.Scrum is represented as a framework that supports team members to work together in a specific environment. It exploits the concept of devising the team to learn through experiences, self-organizing, and deliberating on the profits and flops in a team concurrently.
Therefore, it is well described above.
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write a story about your self
The steps on how to write a good Story about oneself are:
Look into Yourself and your emotions and then create a List of your qualities..Find the Action that gives you joy and happiness as well as others and write on it.Edit and summarize key points.What is a story?A story is known to be a Narrative which is a Literary genre that tells the account of a numbers of related events or life experiences.
Note that the steps on how to write a good Story about oneself are:
Look into Yourself and your emotions and then create a List of your qualities..Find the Action that gives you joy and happiness as well as others and write on it.Edit and summarize key points.Learn more about Story from
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a water tap fills a tank within 4 hours, at the bottom of the tank
there is a hole for empty. the tank takes one hour to be empty. If the tap and the hole
are turning on together, the tank is fully filled. how long will the tank take to be completely
empty?
(70 min, 80 min, 90 min, 100 min)
Answer:
90 mins i think. Sorry if wrong im not sure
Explanation:
Of the $10$ kids in a chess club, $5$ are left-handed and $5$ are right-handed. the club holds a round-robin tournament in which every player plays against every other player exactly once. what fraction of the games have two right-handed players? enter your answer as a fraction in simplified form.
The total number of games a girl play against a boy is 25, the number of games a girl plays against a boy is 10, the fraction of the games are boy-versus-boy is 2/9, and 1/5 is the fraction of all games at the tournament Anita plays.
How to carry out Permutation and Combination?
We are given that there are 5 girls and 5 boys in a chess club.
Thus, total games that girls play against a boy = 5×5 = 25
The number of games a girl play against another is the total number of games = 10
The number of games that are boy vs boy = 10
The number of games Boy vs Boy + Girl vs Girl + Boy vs Girl = 10 + 10 + 25 = 45
Fraction of the games that are boy vs boy = 10/45 = 2/9
If Anita is one of the club members, then Anita will have to play against 9 people at the tournament.
Total number of games = 45
Then the fraction of all games at the tournament Anita play the game.= 9/45 ⇒ 1/5
Thus, the total number of games a girl play against a boy is 25, the number of games a girl plays against a boy is 10, the fraction of the games are boy-versus-boy is 2/9, and 1/5 fraction of all games at the tournament Anita plays.
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Which of the following are peripheral devices that could be connected to the computer you are using?
Web camera
Mouse
Keyboard
Graphics card
Answer:
i think web camera
Explanation:
Answer: It would be Web, Camera, Mouse, Keyboard, Graphics card so it's all of them
Explanation:
Fill in the blank with the correct subjunctive form of the verb in parentheses. nosotros ____ (vivir)
Answer:
I am assuming vivimos
Explanation:
if it is ending in os its conjuction would imos
What are shelters made of in urban shantytowns in paraguay? go to housing brick fiberglass cement carboard and tin
Answer: it is made out of cement and bricks
Explanation: I just did this
Answer: The answer is cardboard and tin.
ENJOY!!!:)
For the soccer banquet, the players and their family members selected their favorite main dish and side dish. of the 39 people who chose chicken as the main dish, 18 wanted potatoes. of the 32 people who chose rice as a side dish, 6 chose fish as a main dish. a total of 8 people chose a vegetarian meal with potatoes, and a total of 10 people chose fish as their main dish.
The two way table that correctly displays the given data is; Option B
How to Interpret Two - way Tables?We are given that;
39 people chose chicken as the main dish,18 wanted potatoes.
32 people chose rice as a side dish, 6 chose fish as the main dish.
A total of 8 people chose a vegetarian meal with potatoes,
A total of 10 people chose fish as their main dish.
From the given parameters above, when we look at all the 4 two way tables attached in the image, we will see that only the second option is the correct one.
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Answer:
B
Explanation:
Prepare a presentation to inform a group of your peers about what immigrants who came to america experienced as they traveled to and entered the country. first, research about the experience of coming to america through ellis island in the early 1900s. then, prepare your presentation by writing a procedure. include the steps you will discuss to help your peers understand the immigrants' experiences. what should your procedure include? the process for researching immigration the writing process the steps i will cover in my presentation
To prepare for a presentation in the above topic, the steps to take before are:
Start the 1st slide is an introduction on immigration.Then the next slide should talk about immigrants who came to America for different purpose.The the 3rd slide should talk about the aim of the writeupLastly conclude and summarize the full work.How to prepare for a presentation?The steps are:
Make an Outline of your presentation. Engage in self Practice before time. Read and revise the presentation, etc.Therefore, to make a good slide and to prepare for a presentation in the above topic, the steps to take before are:
Start the 1st slide is an introduction on immigration.Then the next slide should talk about immigrants who came to America for different purpose.The the 3rd slide should talk about the aim of the writeupLastly conclude and summarize the full work.Learn more about presentation from
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Answer:
To inform my peers about what it was like to arrive in America at Ellis Island
Explanation:
Stiff muscles only result from overworking them. please select the best answer from the choices provided. t f
Answer:
false
Explanation:
I think it’s false because sometimes at school I get tired in my arms because I’m probably not getting enough exercise. This is why I think it’s false.
Answer:
F
Explanation:
You have been assigned to research edgar allen poe. your teacher is very clear that your speech should focus on why he is important to american literature. choose the list of things you should remember to include in developing your poe speech. a. presentation aids, step by step explanation b. aids, an overview c. variety of definitions, several credible sources d. journalistic questions, sensory description, please select the best answer from the choices provided a b c d
The list of things you should remember to include in developing your poe speech are; variety of definitions, several credible sources
What are the useful tools in developing a speech?Speech is the formal disclosure of thoughts to the audience. This includes an introduction, body, and conclusion. The speech must include a clear message, context, interference, and feedback.
To prepare a speech on Poe, we must use several credible sources to generate information and data about him and his work in that regards and use a variety of definitions as his importance in American literature.
Thus, the correct option is Option C, variety of definitions, several credible sources.
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Reda is looking for a home equity loan. describe at least two factors she should look at when deciding which loan is best for her.
Answer:
consider the bidding property