Which side lengths form a right triangle?
Choose all answers that apply:
A:
11,13,√290
B:
7, 24, 25
C: 2, 5, 7

Answers

Answer 1

Answer:

B

Step-by-step explanation:

Use the Pythagorean theorem, 7^2+24^2=25^2

49+576=625

625=625

All the other answers do not satisfy the Pythagorean theorem (a^2+b^2=c^2)

Answer 2

Answer: A, B

Step-by-step explanation:

A right triangle's sides have a special property that the sum of the squares of the two legs is equal to the square of the hypotenuse. This is also known as the Pythagorean Theorem.

Let's check if this theorem holds true for each triangle.

A

\(11^2+13^2=(\sqrt{290})^2\\ 121 + 169=290\\ 290 = 290\)

The Pythagorean Theorem holds true, so this is a right triangle.

B

\(7^2+24^2=25^2\\ 49 + 576 = 625\\ 625=625\)

The Pythagorean Theorem holds true, so this is a right triangle.

C

\(2^2+5^2=7^2\\ 4+25=49\\ 29 = 49\)

This is a false statement, which doesn't make this triangle a right triangle. We could have use the triangle inequality theorem to prove that this isn't a triangle at all, and therefore not a right triangle, but I encourage you to learn about it and try it yourself.


Related Questions

Is this function linear or nonlinear?​

Is this function linear or nonlinear?

Answers

Answer:

yes

Step-by-step explanation:

y = -(x – 8)(x + 9)

HOW DO I MAKE THIS STANDARD FORM!!

Answers

Answer\(x^{2}\)-72=0

Step-by-step explanation:

Math pls patulong

You are a bank financier. Your bank pays an annual interest rate of 3% compounded
quarterly. If the initial deposit (or principal), of your client is Php 50 000, find the
balance after 5 years.

You have to show the balance of Php 50 000 after 5 years if the bank pays an interest
rate of 3% compounded annually. Which gives a higher interest between the two?
Explain.

Math pls patulongYou are a bank financier. Your bank pays an annual interest rate of 3% compoundedquarterly.

Answers

Using compound interest, it is found that:

With interest compound quarterly, the balance is of Php 5,804.With interest compound annually, the balance is of Php 5,796.Due to the higher balance, the quarterly compound gives the higher interest.

Compound interest:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

A(t) is the amount of money after t years.  P is the principal(the initial sum of money).  r is the interest rate(as a decimal value).  n is the number of times that interest is compounded per year.  t is the time in years for which the money is invested or borrowed.

In this problem:

Rate of 3%, hence \(r = 0.03\).Compounded quarterly, hence \(n = 4\).Initial deposit of 50000, hence \(P = 50000\).Five years, hence \(t = 5\).

Then, the balance is:

\(A(5) = P\left(1 + \frac{r}{n}\right)^{nt}\)

\(A(5) = 5000\left(1 + \frac{0.03}{4}\right)^{4(5)}\)

\(A(5) = 5804\)

With interest compound quarterly, the balance is of Php 5,804.

Now, with annual interest, we have that \(n = 1\), and:

\(A(5) = P\left(1 + \frac{r}{n}\right)^{nt}\)

\(A(5) = 5000\left(1 + \frac{0.03}{1}\right)^{1(5)}\)

\(A(5) = 5796\)

With interest compound annually, the balance is of Php 5,796.

Due to the higher balance, the quarterly compound gives the higher interest.

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Find the minimum value of the function f(x) =0. 9x2+3. 4x-2. 4

Answers

The minimum value of the function f(x) =0. 9x2+3. 4x-2. 4 is -3.77 and its parabolic curve is upward because of its minimum value.

Let's consider the equation of a function.

f(x) = \(0.9x^{2} + 3.4x -2.4\)

Now, divide each and every element and assume that a, b, and c are coefficients of the function given.

a: 0.9

b: 3.4

c: -2.4

The sign of the coefficient of a determines the exposure of the parabola. Since a >  0, the parabola is open upwards and has a minimum value.

We can find the "x" of the vertex using the following expression.

x(v) = -b/2a = -3.4/(0.9)

x(v) = -3.77

We can find the "y" of the vertex by replacing this x in the equation

y(v) = 0.9(-3.77)² + 3.4(-3.77) -2.4

y(v)  = -2.42

The minimum value of the function is -3.77

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The schoolyard at Kenny's school is a square that is 50 yards long on each side. What is the area of the schoolyard?

Answers

Answer:

100

Step-by-step explanation:

Answer:

100 plz thank me later have a grate day love you all

given f(x)=3x^6, findf^-1(x)

Answers

Answer:

Step-by-step explanation:

Dhddhhfjvjvmx,sfkiritifkflf,gjgi*jfckblhog

Can someone please help me . WILL MARK BRAINLIEST !!!

Can someone please help me . WILL MARK BRAINLIEST !!!

Answers

Answer:

The range is  { -10,0,4}

Step-by-step explanation:

The domain is the input and the range is the output

f(-3) = 2(-3) -4 = -6-4 = -10

f(0) = 2(0) -4 = 0-4 = 0

f(4) = 2(4) -4 = 8-4 = 4

The outputs are { -10,0,4}

The range is  { -10,0,4}

Answer:H

Step-by-step explanation:

You just take the domain, add 1 to the first number and the rest stay the same.

if the probability of an event is 75 97 75 97 , what is the probability of the event not happening?

Answers

Answer: 0%

Step-by-step explanation:

It's impossible for it to be different than 75 or 97

see if you can find x ??

see if you can find x ??

Answers

Answer:

just do 130 +5x+19=180

Answer:

Step-by-step explanation:

180° = 130°+5x+10

180 = 140+5X

-140 -140

40 = 5X

/5 /5

8 = X

If a1 =5 and an = 2a n-1 + 5 then find the value of a4

Answers

According to the arithmetic progression, the value of a4 is 75

Arithmetic progression:

An arithmetic progression (A.P.) is the sequence of numbers that has a fixed common difference between any two consecutive numbers.

Given,

Here we have the value of a1 = 5 And the function for arithmetic progression which is an = 2(an-1) +5

Now we need to find the value of a4.

To find the value of a4, we have to find the value of a2 and a3.

For that, we have to apply the given value into the function,

So, the value of a2 is calculated as,

a2 = 2 (a2 - 1) + 5

WE know that the value of a1 = 5, then the value of a2 is

a2 = 2 (a1) + 5

a2 = 2(5) + 5

a2 = 15

So, the value of s3 is

a3 = 2 (a3 - 1) + 5

a3 = 2(a2) + 5

a3 = 2(15) + 5

a3 = 35

Finally, the value of a4 is calculated as,

a4 = 2 (a4 - 1) + 5

a4 = 2(a3) + 5

a4 = 2(35) + 5

a4 = 75.

Therefore, the value of a4 is 75.

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A tree that is 12 feet tall casts a shadow that is 9 feet long. At the same time a nearby stop sign casts a shadow that is 6 feet long. What is the height, h , of the stop sign?

A. 4.5 ft

B. 7.3 ft

C. 8 ft

D. 9 ft

Answers

Answer:

height / shadow = height / shadow until sun moves or earth tilts

12/9 = h / 6

h = 6*12 /9 = (3*2*3*4 ) / (3*3) = 2 * 4 = 8

So C. 8ft

I think the answer is A 4.5ft

There are 72 squares in the model. 72 squares What is the result of 72 divided by 12? 6 8 9 12

Answers

Answer:

6

Step-by-step explanation:

72 divided by 12 equals 6

Answer: it is (a)

explanation: in took the test :)

At Wednesday's practice, McKenzie ran a
mile in 9 minutes. At Saturday's track meet,
she ran 2 miles in 19 minutes. On which day
did McKenzie run at a faster rate?

Answers

Answer:

Step-by-step explanation:

so on wednesday she ran a mile in 9 minutes

on saturday, 2 miles in 19 minutes which is one mile in 9.5 minutes, you fine this by cross myliplication then solving for x so she ran faster on wednesday

Answer:

on wednesday (i think)

Step-by-step explanation:

s=d/t

x=1/9

9/60=0.15

this is 6.6 mph

whereas,

x=2/19

19/60=0.316

2/0.316

this is 6.3 mph which is why she rans faster on Wednesday

The temperature was –15⁰F and decreased by 10⁰ F. Which statement represents the resulting temperature in degrees Fahrenheit?
–15 – (–10) = – 5

–15 – 10 = – 25

15 – (–10) = 25

15 – 10 = 5

Answers

The temperature decreased so you would subtract the amount from the original temperature.

The answer would be:

-15 - 10 = -25

A phone usually sells for $245. It is now on sale for 10% off the original price. What is the new sale price for the phone?

Answers

Answer:

$220.50

Step-by-step explanation:

245.00×10%=24.50

245.00-24.50=220.50

Answer:

$24.50

Step-by-step explanation:

WILL GIVE BRAINLY:D 83 fish is 40% of what number of fish? ​

Answers

Answer:

Step-by-step explanation:

40% (0.4) times 83= 33.2

0.4x83=33.2

Answer:

207.5

Step-by-step explanation:

83 / 0.4 = 207.5.

83 fish is 40% of 207.5 fish.

in the apt model, what is the nonsystematic standard deviation of an equally-weighted portfolio that has an average value of (ei) equal to 25 nd 50 securities?

Answers

The nonsystematic standard deviation of the equally-weighted portfolio is approximately 0.714.

The APT (Arbitrage Pricing Theory) model is a financial model that attempts to explain the returns of a portfolio based on the risk factors that affect it. In the APT model, the total risk of a portfolio is divided into two components: systematic risk and nonsystematic risk.

Systematic risk is the risk that is common to all assets in the market and cannot be diversified away, while nonsystematic risk is the risk that is unique to a particular asset or group of assets and can be diversified away.

Assuming that the average value of the excess return of a security i (ei) is equal to 25 and there are 50 securities in the equally-weighted portfolio, we can use the following formula to calculate the nonsystematic standard deviation of the portfolio:

σnonsystematic = √[(Σei^2)/n - (Σei/n)^2]

where Σei^2 is the sum of squared excess returns of all securities in the portfolio, Σei is the sum of excess returns of all securities in the portfolio, and n is the number of securities in the portfolio.

Since the portfolio is equally-weighted, each security has the same weight of 1/50. Therefore, the excess return of the portfolio (ep) is given by:

ep = (1/50)Σei

Substituting this into the formula for σnonsystematic, we get:

σnonsystematic = √[(50/49)Σ(ei - ep)^2]

Since the portfolio is equally-weighted, the variance of the excess return of the portfolio is given by:

Var(ep) = Var((1/50)Σei) = (1/50^2)ΣVar(ei) = (1/50^2)Σσi^2

where σi is the standard deviation of the excess return of security i.

Substituting this into the formula for σnonsystematic, we get:

σnonsystematic = √[(50/49)Σ(ei - ep)^2] = √[(50/49)Σei^2/n - Var(ep)]

Since the average value of the excess return of a security i (ei) is equal to 25, we can assume that the mean excess return of the portfolio (ep) is also equal to 25. Therefore, the variance of the excess return of the portfolio (Var(ep)) is given by:

Var(ep) = Var((1/50)Σei) = (1/50^2)ΣVar(ei) = (1/50^2)Σσi^2

Substituting the value of σi = 0 (since it is not given), we get:

Var(ep) = (1/50^2)Σσi^2 = (1/50^2) × 50 × 0 = 0

Substituting this into the formula for σnonsystematic, we get:

σnonsystematic = √[(50/49)Σei^2/n - Var(ep)] = √[(50/49)Σei^2/n]

Substituting the value of n = 50 and the average value of ei = 25, we get:

σnonsystematic = √[(50/49) × 25^2/50] = 5/7 ≈ 0.714

Therefore, the nonsystematic standard deviation of the equally-weighted portfolio is approximately 0.714.

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what is another name for a chord that passes through the center of the circle? A) Diameter B) Circumference C) center D) radius

Answers

Answer:

A

Step-by-step explanation:

diameter

The another name for the chord that passes through the center of the circle is the diameter.

The correct option is (A).

What is a circle?

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point.

As per the given data:

We have to find out the alternate name for a chord that passes through the center of a circle out of the given options.

Diameter:

It's a chord that passes through the center and touches the ends of the circumference of the circle.

Hence, this is correct.

Circumference:

It's the length of the boundary of a circle, hence this cannot be a chord.

This is incorrect.

Center:

It's a point and a chord is a line, hence this cannot be true.

Radius:

A radius is not a chord, as it does not touch the endpoints on the circumference of the circle.

The another name for the chord that passes through the center of the circle is the diameter.

Hence, The another name for the chord that passes through the center of the circle is the diameter.

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Question 6: please help me out here :(((

Question 6: please help me out here :(((

Answers

Answer:

m∠1 = 106

Step-by-step explanation:

Given: m∠5 = 106

Vertical angles are congruent

The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent.

Therefore: m∠1 = 106

Performance measures dealing with the number of units in line and the time spent waiting are called

A. queuing facts.
B. performance queues.
C. system measures.
D. operating characteristics.

Answers

Performance measures dealing with the number of units in line and the time spent waiting are called D. operating characteristics.

Operating characteristics are performance measures that provide information about the operational behavior of a system. In the context of queuing theory, operating characteristics specifically refer to measures related to the number of units in line (queue length) and the time spent waiting (queueing time) within a system. These measures help assess the efficiency and effectiveness of the system in managing customer or job arrivals and processing.

The number of units in line is an important indicator of how congested a system is and reflects the amount of work waiting to be processed. By monitoring the queue length, managers can determine if additional resources or adjustments to the system are required to minimize customer wait times and enhance throughput.

Similarly, the time spent waiting, often referred to as queueing time, measures the average or maximum amount of time a customer or job must wait before being serviced. This measure is crucial in assessing customer satisfaction, as excessive wait times can lead to dissatisfaction and potential loss of business.

Operating characteristics provide quantitative insights into these key performance indicators, allowing organizations to make informed decisions regarding resource allocation, process improvements, and service level agreements.

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what percentage of survey respondents reported having colleagues who are rude or disrespectful? multiple choice 39% 53% 79% 90% 10%

Answers

According to the survey results, 53% of respondents reported having colleagues who are rude or disrespectful. This is a concerning finding, as workplace incivility can have negative effects on employee well-being, job satisfaction, and productivity.

It is important for organizations to address and prevent such behaviors through training, policies, and a culture of respect and accountability. It is also important for individuals to speak up and address rude or disrespectful behavior when it occurs, in a constructive and professional manner. By promoting civility and respect in the workplace, we can create a more positive and productive work environment for everyone.

According to the survey, 53% of respondents reported having colleagues who are rude or disrespectful. This percentage indicates that more than half of the surveyed individuals have experienced unprofessional behavior from their coworkers.

It is essential for everyone in a professional environment to treat their colleagues with respect and maintain a positive work environment.

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a group of children held a grape-eating contest. when the contest was over, the winner had eaten grapes, and the child in -th place had eaten grapes. the total number of grapes eaten in the contest was . find the smallest possible value of . a group of children held a grape-eating contest. when the contest was over, the winner had eaten grapes, and the child in -th place had eaten grapes. the total number of grapes eaten in the contest was . find the smallest possible value of .

Answers

The smallest possible value of the total number of grapes eaten in the contest is the product of (n-1) and the number of grapes eaten by the child in last place, plus the number of grapes eaten by the winner.

The smallest possible value of the total number of grapes eaten in the contest is (n-1)*(grapes eaten by the child in last place) + (grapes eaten by the winner). So for example, if the winner had eaten 10 grapes and the child in last place had eaten 5 grapes, the total number of grapes eaten in the contest would be (n-1)*5 + 10 = 45.

The smallest possible value of the total number of grapes eaten in the contest is the product of (n-1) and the number of grapes eaten by the child in last place, plus the number of grapes eaten by the winner.

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True Or False : The following code correctly determines whether x contains a value in the range of 0 through 100, inclusive.
if (x > 0 && <= 100)

Answers

False: The provided code snippet does not correctly determine whether the variable x contains a value in the range of 0 through 100, inclusive.

To explain further, the condition in the if-statement is incomplete and syntactically incorrect. To properly check if x is within the range of 0 through 100, you need to specify the variable in both parts of the condition. The corrected code should be as follows:

if (x >= 0 && x <= 100):

In this revised code, the first part x >= 0 checks if x is greater than or equal to 0, and the second part x <= 100 checks if x is less than or equal to 100. Both conditions need to be true for the if-statement to evaluate to true, indicating that x falls within the specified range.

By making this correction, the code will now accurately determine whether x contains a value within the range of 0 through 100, inclusive.

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Eduro solved -4x > 120 by adding 4 to each side lf the inequality what mistake did he make?

Answers

Eduro's mistake of solving the inequality -4x > 120 is adding 4 to both sides instead of dividing both sides by -4

Inequality

minus four x greater than 120

-4x > 120

divide both sides by -4

x < 120/-4

There is a change in the inequality sign from greater than to less than because the inequality is been divided by -4

x < -30

Check:

-4x > 120

-4(-30) > 120

120 > 120

Therefore, Eduro's mistake of solving the inequality -4x > 120 is adding 4 to both sides instead of dividing both sides by -4

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plz help solve this. i need the answer asap

plz help solve this. i need the answer asap

Answers

Answer:

6 cups per month

Step-by-step explanation:

divide 72 by 12

6cups per month divid

the sum of the digits of a ceratin 2 digit number is 2. reversing its digits decreases the number by 36. what is the number?

Answers

the number is 40.

In mathematics, the system of linear equations is the set of two or more linear equations involving the same variables. Here, linear equations can be defined as the equations of the first order, i.e., the highest power of the variable is 1. Linear equations can have one variable, two variables, or three variables. Thus, we can write linear equations with n number of variables. In this article, you will get the definition of the system of linear equations, different methods of solving these systems of linear equations and solved examples.

If the tens digit of the number is X and the ones digit is Y then the number is equal to 10*X + Y

If you reverse the digits then the number is equal to 10*Y + X

If reversing the digits decreases the number by 36 then

10*Y + X = 10*X + Y - 36

The sum of the digits is 4 so X + Y = 4  ==>  X = 4 - Y

Substitute this value of X into the 1st equation

10*Y + (4 - Y) = 10*(4 - Y) + Y - 36

9*Y + 4 = 40 - 9*Y - 36

18*Y = 0

Y = 0

So X = 4 - 0 = 4 and the number is 40

Check:  40 - 04 = 36

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please help me do this Q i will with you brainlist :) the first Q only!

please help me do this Q i will with you brainlist :) the first Q only!

Answers

Answer:

it's the account number for the fun of the bird and the first one is a good one is a

Step-by-step explanation:

how to download a game on give me a call when we get home and get a

When using the negative exponent properties, why is it important to know if any of the variables is equal to 0?

Answers

Answer:

Because that give you something like this \(\frac{a}{0}\) who is undefined.

Step-by-step explanation:

When you raise something to a negative exponent give you:

\(a^{-b} = \frac{1}{a^b}\)

Then if \(a\) is equal to 0 is considerate undefined because whatever number raising 0 is equal to 0.

This video explain why you can't divide by zero if you want a deepest answer: 'Why can't you divide by zero? - TED-Ed'

Martha drew a pair of intersecting non-perpendicular lines, I and m. She numbered one pair of vertical angles <1 and <2, and she labeled the second pair of vertical angles <3 and <4. Martha made the conjecture that <1 =~ <2 to validate this conjecture, which of the following would be appropriate reasoning?

A. M<1+ M<2 +M<3 + m<4 = 360

B. The sum of the measures of angles of a triangle is 180°

C. The measure of all right is 90°

D. Because <1 and <2 are each supplementary to <3, they are therefore congruent

Answers

Answer:

b 3eedeehheheehejwjjhhhejjererj

Solve the following systems of equation graphically on the set of axes y=2/5×+5 2×+y=-7

Answers

You have the following system of equations:

y = 2/5 x + 5

2x + y = -7

in order to solve the previous system by graphing, solve the second equation for y:

2x + y = -7

y = -2x - 7

The graphs are shown below:

the solution to the system is the point at which the lines cross each other.

You can notice that such a point is (-5,3).

Hence, the solution to the system is

(-5,3)

Solve the following systems of equation graphically on the set of axes y=2/5+5 2+y=-7
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