Use the pythagorean Theorem to prove the three sides of the triangle are the three sides of a right triangle. Show all of your work. 2,4,2,√3

Answers

Answer 1

Answer:

[tex]2^{2}[/tex] + [tex](2\sqrt{3}) ^{2}[/tex] = 4 + 4 * 3 = 16 = [tex]4^{2}[/tex]

Step-by-step explanation:

The Pythagorean Theorem states that the two shorter sides of a right triangle squared and added together will equal the longest side (hypotenuse) of the right triangle squared. The longest side of this right triangle is 4, 4 squared is 16. The two shorter sides of the right triangle are 2 and [tex]2\sqrt{3}[/tex], squared individually would be 4 and 12, and added together they also equal 16. These sides are a valid input for the Pythagorean Theorem, so these three sides are the sides of a right triangle. 2 and [tex]2\sqrt{3}[/tex] being the legs of the right triangle, and 4 being the hypotenuse.


Related Questions

10. Given f(x) = 3x2 – 3x + 5 and g(x) = -7x + 4, find (f - g)(x).
A. 3x2 - 10x + 9
B. 3x2 + 4x + 9
C. 3x2 - 10x + 1
D. 3x2 + 4x + 1

Answers

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= (3x² - 3x + 5) - (-7x + 4)

= 3x² - 3x + 5 + 7x - 4

= 3x² + 4x + 1. (D)

Maggie wants to buy a new energy­efficient refrigerator. Her old refrigerator uses about 1200 kWh per year,while the new one would use about 400 kWh per year. Approximately how much money would Maggie saveper year if she buys the new refrigerator?

Answers

Answer:

800 Kwh

Step-by-step explanation:

To solve this problem, we need to find the difference in energy saved and then multiply by the cost of 1kWh of electricity

How much did Maggie save?

Let's first of all calculate the the difference in energy saved

Data;

old refrigerator = 1200kWhnew refrigerator = 400kWh

[tex]1200 - 400 = 800kWh[/tex]

Maggie would've saved 800kWh in one year.

But since we were not given a standard cost of electricity, we would assume that 1kWh will cost $1.

So, to determine how much she must've saved, we simply multiply $1 by 800kWh

[tex]1 * 800 = $800[/tex]

Using our assumptions, she would've saved $800 in one year.

Learn more on rate of power here;

https://brainly.com/question/14878357

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2. Write the matching multiplication fact. 7 + 7 + 7​

Answers

Answer:

3x7

Step-by-step explanation:

7 + 7 + 7 is 3 x 7 because 7x3=21 and 7+7+7=21

A number equals four less than three times the number.
How do you write this equation

Answers

Answer:

n = 4 - 3

Step-by-step explanation:

cut a 60 cm ribbon into such that one part is one third of the other half

Answers

Answer:

15cm and 45cm

Step-by-step explanation:

If one part is one third of the other, then the long one is three times as long as the short one.

If the short one has length x

x + 3x = 60cm

4x = 60cm

x = 15cm

So short one is 15cm and the long one is 3*15cm = 45cm

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PLSSSS SHOWWW THE WORKKK!!!!

Answers

answer: [tex]2^{3} a^{3} b^{12}[/tex]

steps:

you multiply each variable by 3.

example being: 2 x [tex]x^{3}[/tex] is [tex]2^{3}[/tex]

you do this with each of them

hope this helps! <3

Ms. Miller bought burgers for her math students. She paid $39.78 for all burgers. She has 17 students in her class. Choose a variable to represent the cost of one burger, and write an expression for this.
I will give brainliest to the best answer, please answer quickly.

Answers

Answer:

The variable that will represent the cost of one burger will be "b".

The equation is $39.78/17=b

Answer is $2.34

Step-by-step explanation:

Find out how many students she has.

Find out how much she paid for all burgers.

Divide amount she paid for all the burgers by the amount of students she has.

Finally, you have your answer.

what is a linear equation that is perpendicular to y=5

Answers

any equation where x = a number e.g x = 5

i need the answer ASAP

Answers

Answer:

I'm pretty sure all except K but i might be wrong

Step-by-step explanation:

Answer:

F and H

Step-by-step explanation:

Im sorry if its wrong

Jana scored 45 in her 50 item math test. what is the ratio of her correct to her incorrect answers

Answers

Answer:

9 : 1

Step-by-step explanation:

Let the correct answers be denoted by C.

Let the incorrect answers be denoted by I.

Given the following data;

Correct answers = 45 answers

Incorrect answers = 50 - 45 = 5 answers

Ratio of correct to incorrect answers;

C : I = 45 : 5

Dividing by 5, we have;

C : I = 9 : 1

One year, the population of a city was 127,000. Several years later it was 129,540. Find the percent increase.

Answers

Answer:

2%

Step-by-step explanation:

Answer: 2%

Step-by-step explanation: Method 1

Express the ending population as a percentage of the starting population:  

127000 /129540= 1.02

1.02×100=  102%

Subtract the starting 100% to get the percent increase:

102%−100%= 2%  

What is the total price of a $45 pair of jeans after a 6.5% sales tax is added?
show ur work

Answers

the answer is 45.65
45 + 6.5 = 45.065

45 divided by 6.5 over a hundred = 45 + 0.065


Thats how you get 45.65

Answer:

47.93

Step-by-step explanation:

45*.065=2.925

2.92+45=47.93

Hope this helps :)

Which of the following is equal to the expression listed below?

35 + 14

A.(7+5)(7+2)
B.7(5+2)
C.7+(5 times 2)
D.(7 times 5)(7 times 2)

Answers


B
7(5+2)
= 7(7) = 49
35+14 = 49
the answer is D i think

please hurry. 1. Calculate the grade point average: An A is considered 4.0, a B is 3.0, a C is 2.0, a D is 1.0, and an F is 0. If you received the following grades, what would be your grade point average? Round your answer to the hundredths place. Please show me how you got ur answer step by step
Course Credits Grade
Sociology 3.0 A
Calculus 4.0. F
New Student Seminar 1.0 C
Physics. 5.0. A

Answers

Answer:

b

Step-by-step explanation:

 what is the distance between (3,10) and (3, -8) on a coordinate grid? First one to answer gets 41 points and brainlist

Answers

Responder:

Aproximadamente 13,4 unidades.

Explicación paso a paso:

Para encontrar la distancia entre dos puntos, use la fórmula de la distancia. La fórmula de la distancia es:

x₁ e y₁ es una coordenada mientras que x₂ e y₂ es la otra.

Sea (-3,10) x₁ y y₁ y sea (3, -2) x₂ e y₂. Inserta los números y simplifica:

Editar: error tipográfico

Answer:

13, 4

Hope this helped :))))

What is the slope of (-4,6) and (2,-5)

Answers

Answer:

-11/6

Step-by-step explanation:

Slope can be found with this equation:

(y₁ - y₂) / (x₁ - x₂)

What this essentially tells us to do is to put one set of the x and y coordinates into x₁ and y₁, respectfully. Then, put the other set of x and y points as x₂ and y₂.

With this scenerio, we can substitute the given points into the formula.

(6 - (-5)) / (-4 - 2) =

(6 + 5 ) / (-6) =

11 / (-6) =

-11/6

The slope is  - 11/6

The slope is equal to y2 - y1 over x2 - x1.
The answer is -11/6

What the lcm of 12 and 8

Answers

Answer:

24

Step-by-step explanation:

The common multiple that 8 and 12 have in common is 24. This is because 24 is the first multiple of 8 and 12 that is shared

Answer:

The multiples of 8 are: 8, 16, 24, 32, 40, … .

The multiples of 12 are: 12, 24, 36, 48, 60, … .

LCM = 24

Step-by-step explanation:

(PLATO answer)

georgia has 45 pencils she places all of the pencils into one or more baskets.

Answers

Answer:

one basket release you are dividing then it would be 9

Quentin can read 18 pages of a book in 2 hours. How many pages can he read in 10 hours? PLEASE HELP ASAP FOR 17 POINTS!

Answers

Answer:

90 pages in 10 hours :)

Answer:

90 pages

Step-by-step explanation:

First, you need to find the unit rate of how many pages he can read.

So, you divide 18 pages by 2 hours = 9 pages per hour.

Then, you multiply 9*10 hours to find out how many pages he will read in 10 hours.

You get 90.

140 % of what number is 14?
0.1
19.6
10
0 1,000

Help

Answers

Answer:

10

Step-by-step explanation:

I simply divided 140/14 and got 10! Hope this helps :)

The 140 percentage of the number 10 is 14

Given data ,

To find the number that is 140% of another number, we can set up the equation:

140% of x = 14

So , 140 percentage of the number x = 14

To solve for x, we need to convert 140% to its decimal form, which is 1.40:

1.40 * x = 14

Now we can solve for x by dividing both sides of the equation by 1.40:

x = 14 / 1.40

Dividing 14 by 1.40 gives us:

On simplifying , we get

x = 10

Therefore , the value of x = 10

Hence , 140 percentage of 10 is equal to 14

To learn more about percentage click :

https://brainly.com/question/12861068

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Last Friday Trevon had $29. Over the weekend he received some money for cleaning the attic. He now has $41. How much money did he receive?
A. 29 - n = 41
B. 29 - n = 40
C. 29 + n = 41
D. 29 + n = 40

Answers

Answer:

C

Step-by-step explanation:

Trevon started with $29.

After cleaning, his total rose to $41.

Since he received money, we add that amount (n) to his initial amount of money ($29), to equal his total amount ($41)

Find the nouns pls thanks

Answers

Answer:

1.Martin

2.Dining table

3.The children

4.Dishwasher

Step-by-step explanation:

Noun is a name of a person, place, animal, or a thing.

Stay safe, stay healthy and be blessed.

Thank you.

evaluate d+5-f if d +16 and f-18

Answers

Answer:

39

Step-by-step explanation:

d+5-f

Plug in the values of d and f

(16)+5-(-18)

Then simplify (Don't forget that since theres a double negative, that changes to a positive.)

21+18

39

Tony made $172.50 tutoring last weekend. He tutored for 7 1/2 hours. How much does Tony charge per hour to tutor?​

Answers

Answer:

$23 an hour.

Step-by-step explanation:

divide 172.50 by 7.5

?????????????????????

Answers

Answer:

0 and 4

Step-by-step explanation:

Please help me with this please!!

Answers

Answer:

D

Step-by-step explanation:

The radius of a circle is 10 feet. What is the area of a sector bounded by a 45° arc?

Answers

45°
r=10 m







Hope that helps

Answer:

39.25 square ft

Step-by-step explanation:

[tex]Area \: of \: sector = \frac{45 \degree}{360 \degree} \times \pi {r}^{2} \\ \\ = \frac{1}{8} \times 3.14 \times {10}^{2} \\ \\ = \frac{3.14 \times 100}{8} \\ \\ = \frac{314}{8} \\ \\ = 39.25 \: {ft}^{2} [/tex]

Work out the surface area of this cylinder.
8 cm
+
16.8 cm

Answers

Answer:

Can someone pls help me with mine

Step-by-step explanation:

Answer:

Step-by-step explanation:

You may get a bit help from this...

Hope so

:D

Need help ASAP will give brainliest

Answers

Answer:

Step-by-step explanation:

I think u have the right answer because on the graph im confused how he can spend 100 minutes studying and get lower than one he spent almost 65 minutes less on

You already answered it give the guy on top of me the brainliest he deserves it

4e + 7e +5
Constants

Answers

11e+5 is your answer i believe
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