Course 3 chapter 5 triangles and the pythagorean theorem

Answers

Answer 1

The pythagorean theorem is used to calculate the lengths of a right triangle

The hypotenuse of the triangle is 6.5 cm

How to determine the hypotenuse of the triangle?

From the complete question, we have the following side lengths

Opposite = 5.7 cmAdjacent = 3.2 cm

The hypotenuse of the triangle is then calculated as:

Hypotenuse^2 = Opposite^2 + Adjacent^2

This gives

Hypotenuse^2 = 3.2^2 + 5.7^2

Evaluate the sum

Hypotenuse^2 = 42.73

Take the square root of both sides

Hypotenuse = 6.5

Hence, the hypotenuse of the triangle is 6.5 cm

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Related Questions

You must be at least 48 inches tall to ride the bumper cars

Answers

Answer:

h>=48

Explanation:

let h be height

h >= 48

Use a direct proof to show that the sum of two odd integers is even

Answers

Below is the proof that the sum of two odd numbers is always even.

How to prove that the sum of two odd numbers is even?

First, remember that an even number is written as:

x = 2*n

Where n is an integer number.

While an odd number will be written as:

y = 2*n + 1

Now, let's say that we have two odd numbers:

A = 2k + 1

B = 2n + 1

If we add these we get:

A + B = (2k + 1) + (2n + 1) = 2k + 2n + 2 = 2*(k + n + 1)

And k + n + 1 is an integer number, then we can write:

k + n + 1 = N

So we get:

A + B = 2N

Then the sum of A and B is an even number.

Thus, we proved that for the sum of any two odd numbers, the outcome will always be even.

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What is the slope of the line that passes through the points (2, 9)(2,9) and (18, -3)(18,−3)?

Answers

The slope's formula is -->  [tex]\frac{y2-y1}{x2-x1}[/tex]

Let's set:

(x1, y1) = (2,9)(x2, y2) = (18,-3)

   either other works, I just chose it that way

So:

  [tex]slope = \frac{-3-9}{18-2} =\frac{-12}{16} =-\frac{3*4}{4*4} =-\frac{3}{4}[/tex]

Hope that helps!

Can you conclude that a = b if a and b are two sets with the same power set?

Answers

The sets A and sets B contains items called elements

It is true that the set A is equal to set B

How to determine the true statement?

The sets are given as:

Set A and set B

Since the sets have the same power set, then we have:

P(A) = P(B)

The above means that:

For every element X in A, then the element is also in B

And

For every element Y not in A, then the element is also not in B

So, we can conclude that:

All subsets of the set A are subsets of the set B and vice versa

Hence, the set A is equal to set B

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Use finite differences to determine the degree of the polynomial

Answers

Answer:

Step-by-step explanation:

Leo wants to buy some shoes. he found the shoes at three different stores for a price of $35. the stores are each having a sale.

Answers

Answer:

there is no question

Explanation:

there is no question

Fred has to write a report on the general opinion of the influence of television on political decision-making. what internet resource can he use to find information or start a discussion with other people on the topic?

Answers

Answer: You could start a reddit discussion.

Explanation:

Reddit draws in a lot of people in so you could get feedback easily

Write the polynomial so that the exponents decrease from left to right

Answers

Answer:

[tex]5x^5+4x^4+3x^3+2x^2+x+1[/tex]

Explanation:

The number in the exponent place decreases from left to right in this expression.

Based on the passage, which is the best inference? poole dislikes his employer, mr. Jekyll. Poole distrusts the lawyer, mr. Utterson. Mr. Utterson suspects that hyde delivered the letter. Mr. Utterson does not expect poole’s response

Answers

Answer:

Mr. Utterson suspects that Hyde delivered the letter.

The best inference that can be drawn from the passage is "Mr. Utterson suspects that hyde delivered the letter.

The passage from The Strange Case of Dr. Jekyll and Mr. Hyde

On his way out, the lawyer stopped and had a word or two with Poole. "By the bye,” said he, "there was a letter handed in to-day: what was the messenger like?” But Poole was positive nothing had come except by post; "and only circulars by that,” he added.

Hyde was trying to hide the fact that he delivered the letter but Mr Utterson had his suspicions and that was why he was asking about the appearance of the messenger.

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This quote is located early in the narrative. what does it reveal about father paul? he is out of touch with the community he serves. he has been leon’s priest for a long time. he does not care for the members of his congregation. he knows that teofilo has passed away.

Answers

Based on the quote contained in the narrative, It can be deducued that Father Paul is: A. out of touch with the community he serves.

The Man to Send Rain Clouds.

"The Man to Send Rain Clouds" is the title of a story that was written and originally published in 1974 by Leslie Marmon Silko. Also, the story was centered on Native Americans and it described their quiet acceptance of death and the quality of contemporary Laguna Pueblo life.

Based on the quote contained in the narrative, It can be deducued that Father Paul is out of touch with the community he serves because it was acknowledged that he missed Mass last Sunday.

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Answer:

a. He is out of touch with the community he serves.

Explanation:

Dr. samuel is holding a discussion on the relevance and requirement of intellectual property rights. which point will he emphasize while explaining the influence of ipr on individual creations?

Answers

Answer:

B. He promotes fields of art and science

Explanation:

Take you risk with this one Im not sure if its correct. But I'm keeping the traditon alive of looking up the answers for career prep :3.

Find the value of x. round your answer to the nearest tenth.

Answers

Answer:

12.04.

Explanation:

The value of x round to the nearest tenth is 12.04.

What is another name for an equilateral quadrilateral

Answers

Answer: square

Explanation:

The another name for an equilateral quadrilateral is rhombus.

An equilateral quadrilateral means quadrilateral with 4 equal sides.

A rhombus, often known as rhombi or rhombuses, is a quadrilateral with four equal-length sides in planar Euclidean geometry. The term "equilateral quadrilateral" refers to a quadrilateral whose sides all have equal lengths.

Therefore, the another name for an equilateral quadrilateral is rhombus.

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Mushrooms are multicellular living organisms. what do cells of mushrooms need to function?

Answers

The cells of the mushrooms need water and waste to function.

Choose the statement that would be a commonplace assertion for this claim: road to glory is a skateboader's paradise.

Answers

The statement that can be classified as a commonplace assertion is "Exercise strengthens the body and mind".

What is a commonplace assertion?

This refers to a statement or opinion that is believes by many people despite not being completly proved.

Which one is a commonplace assertion?

The statement that can be classified in this category is "Exercise strengthens the body and mind" because it is a general belief exercise is good both for your body and mind.

Note: This question is incompelte because the options are missing; here are the options:

Road to Glory is an established name in the skateboarding industry.Young people in this area have few places devoted exclusively to them.Tony Valdez purchased the Hit-the-Streets package, and he was thoroughly satisfied with his day at the skateboard park.Exercise strengthens the body and mind.

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What does it mean when the lottery machine says function suppressed

Answers

It means the retailer has not activated the tickets in the package.

Categorize the domestic policies under president george w. bush. drag each component to its policy goal.

Answers

The domestic policies under president George w. Bush are:

Stimulating economic growth or recovery.

BailoutsTax cuts

What does domestic policy implies?

The others are:

Closing education achievement gap.

No Child Left Behind.Vouchers

The term “domestic policy” is known to be a word that connote the various  plans and actions that can be used or taken by any form of government to handle issues of concern.

Note that the  Closing education achievement gap and Stimulating economic growth or recovery, the needs present within the country itself, were the two domestic policies under president George w. Bush.

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Stimulating Economic Growth or Recovery :

-bailouts

-tax cuts

Closing Education Achievement Gap :

- No Child Left Behind

-Vouchers

A herd of deer lives in a forest where they eat the leaves of trees. the number of energy storage molecules in the trees and in the deer has increased. what has happened to the amount of carbon in the trees and in the deer?

Answers

If a herd of deer lives in a forest where they eat the leaves of trees, then the amount of carbon in the trees and in the deer increases.

What is the matter cycle?

Matter cycling refers to the movement of matter (in this case carbon) from biotic and abiotic factors in an ecosystem.

The biotic components are living organisms, whereas abiotic components are the non-living part of the ecosystem.

The carbon is continuously cycling between living and non-living components in an ecosystem.

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Lesson 19 transformations and congruence answer key

Answers

An example of Lesson 19 transformations and congruence work is given as congruent angles (Image attached). The answer is option AC.

What are transformations in math?

Transformations are known to be some form of changes that are done in a  shapes that are said to be placed on a coordinate plane through the act of rotation, reflection or translation.

Note that option C are congruent angles are two angles that are known to  be congruent when their corresponding sides and angles are said to be of equal rate or measure.

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Review of peter Sykes please.​

Answers

Answer:

PETER SYKES is good book which you can definitely refer but you can not entirely rely on this book for your theory as theory in this book containing JEE syllabus is so brief that is hard to understand at once. I personally referred this book rather than SOLOMONS, because I was already in comfort with the organic chemistry and my class notes was enough for me. But our teacher asked us to read this book in general to get better insight on the topics. But if you are not comfortable at the basics itself than this book is not for you definitely, you can use another books like paula yurkaniis bruce, solomons etc. And for questions both MS chouhan and Akshay choudhary is good.

The answer is ion know dude I’m stressin myself

How many boxes in a stack that is 4 wide and 5 high

Answers

A stack represents its data using the principle of LIFO on its width and height

There are 20 boxes in the stack

How to calculate the number of boxes?

The given parameters are:

Width = 4

Height = 5

The number of box (n) is calculated using

n = Width * Height

So, we have:

n = 4 * 5

Evaluate the product

n = 20

Hence, there are 20 boxes in the stack

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Find a parametric equation of the line m through p and q

Answers

The parametric equation of the line illustrates the independent variables x, y and z

The parametric equation of the line and direction is x = 5 + t; y = -1; z = 3 -2t

How to determine the parametric equation?

The question is incomplete, as the points and the lines are not given.

So, I will make use of the following assumed parameters:

The line passes through:  (5, -1, 3)The direction is ~v = <1, 0, -2>

The parametric equation of the line is represented as:

r<x,y,z> = Line + t<direction>

This gives

r<x,y,z> = (5, -1, 3) + t<1, 0, -2>

Express the equation in terms of x, y and z

x = 5 + t * 1

y = -1 + 0 * t

z = 3 -2 * t

Solve the equations

x = 5 + t

y = -1

z = 3 -2t

Hence, the parametric equation of the assumed line and direction is x = 5 + t; y = -1; z = 3 -2t

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What is the best response to the following question? ¿qué debo hacer cuando tengo tos? debes vomitar. debes tomar medicina. debes moverse. debes enfermarse.

Answers

The best response for when you have a cough is:

"Debes tomar medicina".

What is the best response?

The question:

¿qué debo hacer cuando tengo tos?

Can be translated to:

What should I do when I have a cough?

The options (and the translations) are:

Debes vomitar (you must vomit).Debes tomar medicina (you must take medicine).Debes moverse (you must move).Debes enfermarse (you must get sick).

The only option that makes sense is the second one, so the correct answer is:

Debes tomar medicina.

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¿Qué debo hacer cuando tengo tos?

Debes tomar medicina.

For a​ hyperbola, the foci lie on a line called the

Answers

Answer:

major acxic and minar acxic

Why do molecules have the most variation in their properties

Answers

Answer:

Timing and energy are also factors in isomerism. Molecules are mobile entities, undergoing all sorts of rotational motions that change their shapes, and those motions require energy. Thus, some molecules can be the same on one timescale or set of energy conditions but different, or isomeric, on others.

Explanation:

Molecules are mobile entities, undergoing all sorts of rotational motions that change their shapes, and those motions require energy.

Creating a list of items that can be found in specific sections of a math book is called

Answers

Answer:

index

Explanation:

index is usually found in the back of a book

Which example shows an interaction between the urinary system and the circulatory system?

Answers

The main interaction between the urinary system and the circulatory system is both of the following parts of the human body work for the kidney.

The human body is the collection of many systems like the cardiovascular system for the heart, the urinary system for filtering the body, the circulating system for movement, and so on. All these functions help the body to regulate the smooth functioning of the body.

When the blood enters the kidney through arteries they go through the tiny capillaries that are seen in the urinary system. The blood entered into the kidney later moves to nephrons, where the blood is purified with the help of filters.

The waste that is obtained after the purification of the blood is then transferred to the vital substance that absorbs the bloodstream. It helps the body to manage and control the level of pressure in the blood.

Here the job of the heart is to simultaneously send the oxygenated blood all around the body and send the unwanted, discharged waste to the kidney where it helps to observe the required elements from the waste and transpose it to the urinary system.

The main work of the circulating system is to transpose the oxygenated blood to every part of the cell and provide them with sufficient nutrients.

From this system it is understandable that the similarities between circulatory and urinary system is both of the parts functions to remove waste from the body.

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What details can be observed in the painting? select 3 options. an unclean floor injured men surgical tables dazed expressions concerned relatives

Answers

The following details can be observed in the painting:

An unclean floor.Injured menDazed expressions

What is a painting?

A painting can be defined as an artwork that is typically used by an artist to express and depict an idea or thought about a place, thing, people, etc.

In this scenario, the painting is titled "L’Ambulance de la Gare de Poitiers" and it was drawn by Henri Gervex to describe some injured men who were sitting in an unclean floor and they look dazed.

In conclusion, the following details can be observed in the painting attached in the image below:

An unclean floor.Injured menDazed expressions

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Answer: an unclean floor (1), injured men (2), dazed expressions (4)

Explanation:

Fundamentals of algebra practice book grade 7 answer key

Answers

Algebraic expressions are represented with numbers and variables

The algebraic expression of "5 more than twice a number" is 5 + 2x

How to solve the algebraic expression?

From the complete question, we have the following statement:

"5 more than twice a number"

5 more than means 5 +

Twice a number means 2x, where x is the number

When both expressions are brought together, we have:

5 + 2x

Hence, the algebraic expression is 5 + 2x

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An octagon that is equiangular but not equilateral

Answers

Answer:

An octagon is a polygon with 8 sides. An equiangular polygon is a polygon with all congruent angles. A polygon that is not equilateral is a polygon whose sides are not congruent

Explanation:

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