Mathematics College

Which of the following sets of numbers could represent the three sides of a right triangle?

Answers

Answer 1

Answer:

Step-by-step explanation:

48 55 and 72 because you divide the numbers to get the number that adds to 90 degress

Answer 2

Answer:

$\{ 45, 60,75\}$ would form a right angled triangle.

Step-by-step explanation:

The numbers which are Pythagorean triplet would form a right angled triangle.

Let us suppose that we have three numbers namely $a$ , $b$ and $c$ , then if sum of squares of two numbers is equal to the square to third number , then the three numbers are said to be Pythagorean triplet. That is ,

$\implies a^2 + b^2 = c^2 \\$

Also , here ,

$\implies c > a \ ; c > b \\$

We start by checking the given options one by ,

Option 1 :-

The three numbers are 49 , 64 and 80 . The largest number is 80 , therefore here c = 80 .

$\implies a^2 = 49^2 = 2401 \\$

$\implies b^2 = 64^2 = 4096 \\$

$\implies c^2 = 80^2 = 6400 \\$

Hence here we can see that,

$\implies a^2+b^2\neq c^2 \\$

Hence these numbers do not form a right angled triangle.

$\rule{200}2$

Option 2 :-

Here ,

$\implies a^2 = 45^2 = 2025 \\$

$\implies b^2 = 60^2 = 3600\\$

$\implies c^2 = 75^2 = 5625\\$

Here we can clearly see that,

$\implies a^2 + b^2 = c^2 \\$

Hence these sets of number would form a right angled triangle.

$\rule{200}2$

Option 3 :-

Here ,

$\implies a^2 = 48^2 = 2304 \\$

$\implies b^2 = 55^2 = 3025\\$

$\implies c^2 = 72^2 = 5184 \\$

Hence we can see that,

$\implies a^2 + b^2 \neq c^2 \\$

So these numbers would not form a right angled triangle.

$\rule{200}2$

Option 4 :-

Here ,

$\implies a^2 = 34^2 = 1156 \\$

$\implies b^2 = 56^2 = 3136\\$

$\implies c^2 = 65^2 = 4225 \\$

Again here we can see that,

$\implies a^2 + b^2 \neq c^2 \\$

So these numbers would not form a right angled triangle.

$\rule{200}2$

Related Questions

A survey was conducted to find the frequency with which people go to the movies. A group of 120 people in a mall were asked about how often they go out for a movie and It was found that 36 people go to movies at least once in a month. Which of these is an example of descriptive statistics

Answers

Answer:

30% of the people surveyed in the mall go to movies at least once in a month

Step-by-step explanation:

A descriptive statistic would refer to a summary where it explain in quantitative way from the information collected also it it is used to analyze it. The parameter and descriptive statistics would be the percentage for the surveyed people that goes to the mall for watching out the movies at least for one time in a month

Here 30% come from

= 36 ÷ 120

= 30%

Find slope of the line that passes through
(1, -4) and (-4, -6)

Answers

Answer: 2/5

Step-by-step explanation:

Find slope of the line that passes through (1, -4) and (-4, -6)

A store is selling 5 cans of tomato sauce for 4.50 what is the unit price

Answers

the unit price is 90 cents per can of tomato sauce.

Answer:All you have is multiply

4.50/5 = 0.9

The unit price is 0.9

Step-by-step explanation: I did it and got it right

Find the diameter of the object 3/5

Answers

Answer:

6/5 cm

Step-by-step explanation:

Double the radius

2*3/5=6/5

Answer:

1 1/5 or 6/5

Step-by-step explanation:

3/5 (2) = 6/5 or 1 1/5

Nakeisha is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Nakeisha will earn $30 every time one of her songs is played in a commercial and she will earn $110 every time one of her songs is played in a movie. Nakeisha's songs were played on 2 more commercials than movies, and her total earnings on the royalties from all commercials and movies was $760. Write a system of equations that could be used to determine the number of commercials and the number of movies on which Nakeisha's songs were played. Define the variables that you use to write the system. Please help this is due tonight!!!

Answers

Solving a system of equations we will see that the song was used on 5 movies and 7 commercials

How to determine the numbers of commercials and movies?

The variables we will use are:

x = number of commercial.y = number of movies.

We know that:

x = y + 2

and:

x*$30 + y*$110 = $760

So the system of equations is:

x = y + 2

x*$30 + y*$110 = $760

Replacing the first equation in the second one:

(y + 2)*$30 + y*$110 = $760

$60 + y*$30 + y*$110 = $760

y*$140 = $760 - $60

y*$140 = $700

y = $700/$140 = 5

Then the value of x is:

x = y + 2 = 5 + 2 = 7

Learn more about systems of equations:

https://brainly.com/question/13729904

#SPJ1

`y=2x+1` was a positive slope because...

Answers

Answer:

☆This is because ascending, not descending when looking on a graph.

☆The slope's number is a positive number.

Please look at the photo for the question. Thank you!

Answers

The zeros with each multiplicity are given as follows:

Multiplicity one: x = 6.Multiplicity two: x = 11.Multiplicity three: x = -6 and x = -5.

How to obtain the multiplicities?

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

(x + 6)³ -> zero at x = -6 with multiplicity of 3.(x - 11)² -> zero at x = 11 with multiplicity of 2.x - 6 -> zero at x = 6 with multiplicity of 1.(x + 5)³ -> zero at x = -5 with multiplicity of 3.

More can be learned about the Factor Theorem at brainly.com/question/24729294

#SPJ1

Will has -$55.00 in his bank account. If he saves the $2.50 his mom gives him for lunch every day, how many days will it be until he has a balance of at least $0?

Answers

Answer:9

Step-by-step explanation:

Look at the chart showing a clothing store's daily stock data for the past month. Which statement is a fair conclusion based on the cha
71.21 +0.27 (+0.38%)
Previous Close
Open
Day's Range
52 Week Range
Volume
C.
70.94 1D 5D 1M 6M YTD1Y 5Y Max
71.18
OD.
70.93-71.96
48.56-78.70
5,983,993
Apr 30
May 8
A.
The stock price is down for the day by 0.27%.
в.
The open price is down from the previous close price.
C.
The current stock price is up for the day by 0.38%.
D.
The price over the period of one month has increased.

Answers

Based on the given information, the fair conclusion would be:

C. The current stock price is up for the day by 0.38%.

The statement mentions that the stock price is up for the day, which is indicated by the positive change of 0.27 (+0.38%).

Arrange the following temperatures in ascending order and descending order.
a) 37°C, -15°C, 16°C, -12°C, 0°C, 96°C, -73°C
b) 20°C, -1°C -15°C 0°C, -7°C, 23°C, -36°C.

Answers

Answer:

a) -73°C, -15°C, -12°C, 0°C, 16°C, 37°C, 96°C

a) 96°C, 37°C, 16°C, 0°C, -12°C, -15°C, -73°C

b) -36°C, -15°C, -7°C, -1°C, 0°C, 20°C, 23°C

b) 23°C, 20°C, 0°C, -1°C, -7°C, -15°C, -36°C

What is the product of 3.4 × 10−14 and 1.8 × 1028? (5 points)

Answers

Answer:

1874.4

Step-by-step explanation:

First multiply 3.4 and 10

Then subtract 14 from 34

Then multiply 1.8 by 1028

1850.4

Lastly add 1850.4 and 24

1874.4

Answer:

7.987

Step-by-step explanation:

Just use your head man

Samantha saves $50 per month in an account that pays 9% annual interest, compounded monthly. How much will her account be worth in 5 years?

Answers

Answer:

I think you'd get $270 in interest. But I don't know if that's what is means by how much her account is worth

Step-by-step explanation:

Help I don't understand how to do this

Answers

Answer:

Step-by-step explanation:

Given

Points (-1,7) and (1,3)

Formula

m = (y2 = y1) / (x2 - x1)

y2 = 7

y1 = 3

x2 = - 1

x1 = 1

Solution

m = (7 - 3) / (-1 - 1)

m = 4 / - 2

m = - 2

Now use either one of the points to get b in y = mx + b

x = 1

y = 3

m = - 2

y = mx + b

3 = -2 (1) + b

3 = -2 + b

b = 3 + 2

b = 5

Equation: y = - 2x + 5

Second question.

y = -2 + 1

Think money. You have a dollar in your pocket, but you owe your mom 2 dollars. Where are you.

y = -2 + 1

y = - 1

Once simplified, which of the expressions below is equal to −3x−39? Select all that apply.
A) 6(2x–5)–15x–9
B) −3(x+13)
C) 6(23x–5)−7x–9
D) 3x(x–3)

Answers

It would be B. When you apply the distributive property (which is multiplying the outside integer on the outside of the parenthesis by the ones one the inside) you get -3 times x, which is -3x, and -3 times 13, which is -39 (it is negative because the positive times the negative is negative). This results in the solution -3x-39.

The Humber Room advertises two types of entrée, meat and fish. It is known that 70% of all customers order meat, and 30% order fish. All customers are individually asked after their meals if they were satisfied with them. This survey shows that 80% of those who ordered meat and 95% of those who ordered fish were satisfied. Draw a probability tree for this problem to answer the question.If M represents the event of ordering meat, F is the event of ordering fish, + is the event of being satisfied, and − is the event of not being satisfied, then answer the following questions:

Answers

P(M)=70%=0.7

P(F)=30% =0.3

Of those who ordered meat

• P(+)=80%=0.8

• p(-)=1-0.8=0.2

Of those who ordered fish

• P(+)=95%=0.95

• p(-)=1-0.95=0.05

The completed probability tree is attached below:

The Humber Room advertises two types of entre, meat and fish. It is known that 70% of all customers order

Please help
A stamp collection consists of 10 albums each containing 42 pages. How many stamps are in the total collection if 40 stamps fit on a page?
(1) 92
(2) 820
(3) 1,680
(4) 2,080
(5) 16,800

Answers

Step-by-step explanation:

Total number of albums = 10 albums$ \; $Number of pages in each album = 42 pages Stamps fit on 1 page = 40 stamps

As total number of pages in each album is 42 pages, so

➝ Total number of pages in 10 albums = (42 × 10) pages

➝ Total number of pages in 10 albums = 420 pages

Now, as the number of stamps fit on 1 page is 40 stamps, so

➝ Stamps fit on 420 pages = (420 × 40) stamps

➝ Stamps fit on 420 pages = 16,800 stamps

Therefore, 16,800 stamps are in the total collection.

Keagan earned $55.00. He spent 3/5 of it and saved the rest. How much money did he save?

Answers

Answer: He saved $22

Step-by-step explanation:

2/5 x 55 = 22

1st Answer:

$54.40

Step-by-step explanation:

3/5 = 0.60

55- 3/5 =

55 - 0.60 = 54.40

Unit Post Test
Suomi Test
Reader TOOLS
2
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4
6
The function g> is a transformation of AX). If g(x) has a y-intercept of -2, which of the following functions could represent g(x)?
OA. 80%) = 1x) - 2
B. gx) = Rx+ 2)
OC. 8) = px - 5)
OD. 81%) = Rx) - 5
Reset
Next

Answers

Answer:

Step-by-step explanation:

Rituparna Banerjee
Samantha used the school computer 20 hours last month. Her brother Jacob used the school computer for 60 hours. What is the ratio of
the hours Samantha used the computer to the hours Jacob used the computer?
O A 3 to 1
OB. 1 to 3
O C. 1 to 4
O D. 3 to 2
O

Answers

Answer:

20:60 simplified

Step-by-step explanation:

so the question wants u to set up the ratio, Samantha's computer time to jacobs computer time, so 20:60 basically. now the choices they give u looks all simplified so we have to simplifi 20:60 witch is B)1 to 3. always remember when u r simplifing u have to divide the ratio by the same number.

I need some help with this problem

Answers

Answer:(-(3x^(3)-x-1))/((x^(2)+1)^(2))

Pleassseee hhheeelllppp

Answers

Answer/Step-by-step explanation:

When solving problems like this, remember the following:

1. + × + = +

2. + × - = -

3. - × + = -

4. - × - = +

Let's solve:

a. (-4) + (+10) + (+4) + (-2)

Open the bracket

- 4 + 10 + 4 - 2

= - 4 - 2 + 10 + 4

= - 6 + 14 = 8

b. (+5) + (-8) + (+3) + (-7)

= + 5 - 8 + 3 - 7

= 5 + 3 - 8 - 7

= 8 - 15

= - 7

c. (-19) + (+14) + (+21) + (-23)

= - 19 + 14 + 21 - 23

= - 19 - 23 + 14 + 21

= - 42 + 35

= - 7

d. (+5) - (-10) - (+4)

= + 5 + 10 - 4

= 15 - 4 = 11

e. (-3) - (-3) - (-3)

= - 3 + 3 + 3

= - 3 + 9

= 6

f. (+26) - (-32) - (+15) - (-8)

= 26 + 32 - 15 + 8

= 26 + 32 + 8 - 15

= 66 - 15

= 51

PLEASE HURRY⚠️⚠️

How do you find the length of an unknown leg in a right triangle?

Answers

Answer:

by measuring in feet

Step-by-step explanation:

its the easiest way to find what your looking for

Answer:

You can find the length of an unknown leg using the Pythagorean theorem

Step-by-step explanation:

$a^2+b^2=c^2$

$c^2-a^2=b^2$

$c^2-b^2=a^2$

note c = hypotenuse and b and a = legs

PLEASE HURRYHow do you find the length of an unknown leg in a right triangle?

(W+4)(3w-2) please solveeed

Answers

Step-by-step explanation:

${:}\longrightarrow$$\sf (w+4)(3w-2)$

${:}\longrightarrow$$\sf w(3w-2)+4 (3w-2)$

${:}\longrightarrow$$\sf 3w^2-2w+12w-8$

${:}\longrightarrow$$\sf 3w^2+10w-8 $

3w^2 - 2w +12w -8
Simplify to 3w^2+ 10 -8 is the answer

Brian is riding his skateboard to his friend's house. Brian is pushing on the ground with his foot to move himself and the skateboard forward. Which energy is transformed into mechanical energy?

Radiant energy
Chemical energy
Sound energy
Electrical energy

Answers

Answer:

Chemical Energy

Step-by-step explanation:

According to the Law of Conservation of Energy, energy is neither created nor destroyed. It is an entity that's always existing in the environment. It takes different forms of energy. Among the choices, the best answer would be letter B. Chemical energy. The chemical energy originates from the energy within the muscles that are dormant. Once used, this chemical energy is transformed into mechanical energy by the action of pushing his foot on the ground.

Answer:

Chemical energy

Step-by-step explanation:

Law of conversation says energy cannot be created or destroyed. Chemical energy is made from the muscles and transformed into mechanical energy when he pushes down.

Can one of y’all help me please????

Answers

Answer:

1,0

Explanation:

Graphically, where the line crosses the x -axis, is called a zero, or root. Algebraically, a zero is an x value at which the function of x is equal to 0 . Linear functions can have none, one, or infinitely many zeros.

Kacie just bought a new house and needs to buy new sod for her backyard, if the dimensisons of her yard are 33.5 feet by 13.6 feet, what s the area if her yard

Answers

The area of Kacie's yard is 455.6 square feet (33.5 feet x 13.6 feet = 455.6 sq ft).

16 Triangle ABC is translated to triangle A'B'C' by
the following motion rule.
(x, y)(x+2y-5)
-8 -6
G
A. (4,-4)
B. (2,-5)
C. (0.6)
D. (-2.5)
N
8
6
B
-2
S
-6
-8
2
What will be the coordinates of A'?
6 8

Answers

Answer:

To find the coordinates of A' after the translation, we need to apply the motion rule to the coordinates of A:

(x, y) → (x + 2y - 5, y - 6)

Substituting the coordinates of point A, which is (4, -4), into this motion rule, we get:

A' = (4 + 2(-4) - 5, -4 - 6) = (-3, -10)

Therefore, the coordinates of A' after the translation are (-3, -10).

Timothy went to a baseball Timothy went to a baseball game. after the game, he wanted to ride the bus home. the red line and the blue line buses both stop at the stadium. ●A red line and a blue line bus both left the stadium at 4:00 p.m. ●Red line buses were scheduled to leave the stadium every 6mins ●Blue line buses were scheduled to leave If the busses run on schedule when is the next time a red line and a blue line bus will leave together?

Answers

Answer:

I have no clue how to slide this I don't quite understand the problem can you try to explain better?

In given figure AB is the diameter of circle. If ∠CAD = 32° and ∠CPB = 28°. Find ∠CDA.

Answers

Answer:

Therefore, the angle ∠CDA is 58°.

Step-by-step explanation:

∠CDA = 58°

In the given figure, let's consider the angle ∠CDA as x.

Since AB is the diameter of the circle, we know that the angle subtended by any diameter at any point on the circumference is always 90°. Therefore, ∠CAB = 90°.

In triangle CAD, the sum of angles is 180°. So, we have:

∠CAD + ∠CDA + ∠CAB = 180°

Substituting the known values:

32° + x + 90° = 180°

Combining like terms:

x + 122° = 180°

Subtracting 122° from both sides:

x = 180° - 122°

x = 58°

What is the GCF of M and M+1?

Answers

Step-by-step explanation:

Given that M is a positive integer, M + 1 is also a positive integer.

Since the difference between them is only 1, they cannot have a common factor above 1.

(For example if M is even, M + 1 must be odd and therefore they do not have a common factor 2 and so on)

Hence we conclude the GCF of M and M + 1 is 1.

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"Graph the function f(x)=13x+4f(x)=-13x+4. Use the line tool todraw the line x=3x=-3 and then use the dot tool to graph the point(3,f(3))(-3,f(-3)).Graph the function f(x)=x2+2f(x)=x2+2 Read the list of sources Leon has collected while researching Bengal tigers. 1. www.savebengaltigers.com 2. www.wiki.org/bengaltigers 3. "Preserving Bengal Tigers' Habitat," by Hank Sheehan, Daily Times 4. www.bengalblog.com Which source would be considered most credible? the .com website the wiki website the Daily Times article the blog website What is/are the spectator ion(s) for the reaction of perchloric acid with sodium hydroxide? Select ALL of the spectator ions from the list below.a. Na+b. CO2c. O2d. Cl- if the 2 currents are same direction and forces are attractive, what is the direction of force wire 1 on wire 2 president herbert hoover believed that the great depression could be ended by doing all of the following exceptdirectly assisting businesses and banks.lending federal funds to feed farm livestock.keeping faith in the efficiency of the industrial system. Take three numbers as input from the user. Store these numbers in a list. Display their product on the screen Suppose that the home countrys major trading partner imposes an import tariff which reduces the home exports. Use the IS-LM-FX model to illustrate the effects of this shock for the following different environments. Draw the IS-LM-FX figures and clearly indicate the initial and the new equilibria. Denote shifts in curves by arrows. Denote the initial equilibrium by point A, and the new equilibrium by point B, in each diagram.For each case, state the effect of the shock on the following variables (increase, decrease, no change, or ambiguous, with a brief reason): Y, i, E, C, I, and TB.a. Assume that the central bank allows the exchange rate to float.b. Assume that the central bank responds in order to maintain a fixed exchange rate. Your friend is looking to launch a new hotel chain, Roxy Inc., designed to serve the traveling needs of the budget-minded millennial traveler. To launch Roxy Inc., she is expected to invest $500 million this year (year=0). The hotel chain is expected to generate free cash flows of $27 million per year, starting in year 1. Thereafter, these free cash-flows are expected to grow at 3 percent per year in perpetuity. For simplicity, assume these cash-flows are received at the end of each year. Your friend knows you've been taking this class, so she asked you to assess the potential value of the new hotel chain. To help you, she gives you the following reports for a handful of publicly-traded firms, as well as the expected returns on the government bond (Treasury), and the risk premium on the value-weighted market portfolio: Market Market Value of Value of Equity Company Equity Debt Beta Dropbox 900 150 2 Ikea 1,000 100 2.3 Intercontinental Hotels Group 7,500 2,500 10-year Treasury rate 2.0% Expected Market Risk Premium 5.0% 1.6 Assume throughout that the CAPM holds for all assets, and that the debt of Dropbox, Ikea, and Intercontinental Hotel Group is risk-free. None of these firms hold (excess) cash assets. friday week 27 bellringer pls help