A triangle has side lengths of 3x, 24, and 5x. The side with 5x is the longest side. What value of x would make a right triangle?​

Answers

Answer 1

Answer:

To form a right triangle, one of the sides of the triangle must be the hypotenuse and the other two sides must be the legs. The hypotenuse is the longest side of a right triangle and the side opposite the right angle. In this case, the side with length 5x is the hypotenuse. Therefore, the sides with lengths 3x and 24 must be the legs.

We can use the Pythagorean Theorem to determine the value of x that will make this a right triangle. The Pythagorean Theorem states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. In this case, we have:

5x^2 = 3x^2 + 24^2

Solving for x, we get:

x = sqrt(24^2/(5^2 - 3^2)) = sqrt(576/16) = 6

Therefore, a value of x = 6 will make this a right triangle.

Step-by-step explanation:


Related Questions

Are infinite languages undecidable?

Answers

Therefore ,A language being infinitive is consequently required but not sufficient for undecidability, according to the solution to the provided problem of infinite.

Define infinitive.

The ideas of zero and infinity are related, although evidently, zero is not the same as infinity. Instead, if N/Z set  exists, and N is any positive number, the quotient grows indefinitely as Z approaches 0. Therefore, it is obvious that N / 0 is limit- less.

Here,

Regular languages are all finite languages. Some of the infinite languages are common. Only infinite languages have an undecidability limit.

There must be specific language strings that cause the TM to fail for the language to be undecidable. In fact, such strings must exist indefinitely (otherwise, the poorly behaved ones could be handled by special-case logic).

Thus, undecidability requires an is infinite language but does not prove it.

Therefore ,A language being infinitive is consequently required but not sufficient for undecidability, according to the solution to the provided problem of infinite.

To know more about infinitive, visit

https://brainly.com/question/29794009

#SPJ4

Solving inequalities
3/5 * p ≤ 6

Answers

Answer:

p ≤ 10

Step-by-step explanation:

3/5 * p ≤ 6

Multiply each side by 5/3

5/3 *3/5 * p ≤ 6* 5/3

p ≤ 10

Answer:

p< 10

Step-by-step explanation:

See the image below:)

Find the measure of the missing angles.

Answers

Answer:

a = 33 degrees

Step-by-step explanation:

Note that 57 degrees and Angle a are complementary:  they add up to 90 degrees.

Thus, a = 90 degrees less 57 degrees = 33 degrees

What is the x-intercept of the graph of y x2 − 4x 4?

Answers

The x-intercept for the graph of y is found to be at x = 2.

Define the term x-intercept?The points where such a line crosses an axis are known as the x-intercept and the y-intercept, respectively.The graph's intersection with the x-axis is known as the x-intercept.Therefore, the y coordinate would be zero at that time.

The quadratic equation given is

y = x² - 4x + 4

Put y = 0

0 = x² - 4x + 4

It becomes perfect square for (x - 2).

It can be written as;

(x - 2)² = 0

Take square root on the both sides

x - 2 = 0

x = 2

Thus, the x-intercept for the graph of y is found to be at x = 2.

To know more about the x intercept, here

https://brainly.com/question/17932786

#SPJ4

The correct question is-

What is the x-intercept of the graph of y = x² - 4x + 4?

please help: find TZ​

Answers

it would be 20. you set the equations equal to one another and then you would plug in what you got for X.

HIHI PLS help ;( having trouble </3

it says "The graph of the inequality y>-1/2x-2 should have the test point 0,0 shaded. true or false"

THANK YOU ヽ(=^・ω・^=)丿​

Answers

Answer:

True

Step-by-step explanation:

Substitute in x = 0 and y = 0.  If the statement is true, then (0, 0) is shaded.

y > -1/2x - 2

0 > -1/2(0) - 2 = -2

0 > -2 is true, so (0, 0) is shaded

Write an equation of the line that passes through (3,-4) and is perpendicular to y=1/2x+7.

Answers

The slope of the line perpendicular to the above will be the inverse and opposite sign of the above slope. So, slope (m) = 2
y = 2x + b
-4,7

Substitute:
7 = (2)(-4) + b
7 = -8 + b
b = 15
y = 2x + 15 I can do all ur work for u (813) 819-5978

PLEASE HURRY 100 POINTZ PLUS BRAINLIEST



Select the true statement that describes a right triangular prism.

A right triangular prism contains curved surfaces.
A right triangular prism contains rectangular faces.
A right triangular prism contains rectangular bases.
A right triangular prism contains one apex.

Answers

Answer:

A right triangular prism contains rectangular faces.

Step-by-step explanation:

Answer:

(C) A right triangular prism contains rectangular faces.

Step-by-step explanation:

hope this helps <3

If B=3x-1 and C=2x^2+x+9, find an expression that equals 2B+2C in standard form.

Answers

Answer:

[tex]4x^2 +8x + 16[/tex]

Step-by-step explanation:

2 (3x - 1) + 2 (2x^2 + x + 9)

6x - 2 + 4x^2 +2x + 18

4x^2 + 8x +16

The value of the equation is A = 2B + 2C = 4x² + 8x + 16

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of B is

B = 3x - 1   be equation (1)

And , the value of C is

C = 2x² + x + 9   be equation (2)

The value of 2B = 2 ( 3x - 1 )

2B = 6x - 2   be equation (3)

The value of 2C = 2 ( 2x² + x + 9 )

2C = 4x² + 2x + 18

Now , the equation will be

A = 2B + 2C

A = 6x - 2 + 4x² + 2x + 18

On simplifying the equation , we get

A = 4x² + 8x + 16

Therefore , the value of A is 4x² + 8x + 16

Hence , the equation is A = 4x² + 8x + 16

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

I don't know what to do, help​

Answers

The correct answer is: 2x+3y=24

10
Which of the following translations corresponds to the matrix
[ 33 3]
2
-3

Answers

Answer:

Please dont delete

Explanation:

Hello. I am sorry that I can not answer your question but I am doing this so I can get answers of my own. I appreciate your understanding and I hope you get your answer soon. Good luck!

PRETTY PLZZZZZZZZZZZZZZZZZZZZZZZZZZ

Answers

Answer:

The third one in.

Step-by-step explanation:

its going to end up being 54 ≤ x

and since 54 is included, you want a filled in circle to show that.

Answer:

C. less than or equal too if it's a closed circle

hope this helps

have a good day :)

Step-by-step explanation:

If the radius of a circle is x cm, what is the measure of its circumference? write.​

Answers

Answer:

2 pie over r

Step-by-step explanation:

Step-by-step explanation:

the circumference is given by:

[tex]2\pi(radius)[/tex]

in this case x is the radius hence the circumference would be:

[tex]2\pi(x)[/tex]

hope this helps :)

please help me!!!!!!!!

Answers

Answer:

3/4

Step-by-step explanation:

^what he said..............

I DONT WANT TO GO TO SUMMER SHCOOL
PLEASE IF YOU HAVE ANY KNOWLEDGE OF THIS TEACH ME BC MY TEACHER DIDN'T TEACH ME ANYTHING​

Answers

Answer:

Yes, both are radii.

Step-by-step explanation:

Assume S lies in the center of the circle. If so, when drawing a line from S to Y, it can be counted as half a diameter, or a radii. Same goes for line ST.

the person above me is correct i just took that test

At a certain zoo, the average mass of one cow is measured to be 410410 kilograms. Use scientific notation to express the mass of 6060 cows

Answers

The scientific notation to express the mass of 60 cows is 2.46 × 10⁴ kg. It is determined after multiplying the mass of one cow by the number of cows.

What is scientific notation?

Scientific notation is a way of expressing very small or very large numbers in a simpler form.

In scientific notation, the number is written as

a.b × 10ⁿ

Where

1 ≤ a < 10n is an integer

If the mass of one cow is 410 kg, find the mass of 60 cows in scientific notation!

The mass of 60 cows would be

= number of cows × mass of one cow

= 60 × 410 kg

= 24,600 kg

In scientific notation, it is

24,600 kg = 2.46 × 10,000

24,600 kg = 2.46 × 10⁴ kg

Hence, the mass of 60 cows in scientific notation is 2.46 × 10⁴ kg.

Learn more about scientific notation here:

brainly.com/question/18073768

#SPJ4

the cube root parent function is reflected and stretched by four. it is translated six to the right and five down. write an equation that represents this new function

Answers

The equation for new function is,

⇒ f (x) = ∛( 1/4x - 6) - 5

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

The parent function is,

⇒ g (x) = ∛x

Now, After  reflected and stretched by 4, we get;

⇒ g (x) = f (1/4x) = ∛ 1/4x

And, After translated 6 units to the right, we get;

⇒ g (x) = f (x - 6) = ∛ 1/4x - 6

And, After 5 unit down, we get;

⇒ g (x) = h (x) - 5 = ∛( 1/4x - 6) - 5

Learn more about the function visit:

https://brainly.com/question/28793267

#SPJ2

Find FL - will mark brainliest

Answers

Answer:

7

Step-by-step explanation:

Answer:

FL = 8.4

Step-by-step explanation:

To solve this question you need to use proportions.

6/10 = x/14

Cross multiply:

6*14 = 84

84/10 = 8.4

Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.

Answers

Answer:

[tex]6+ \sqrt{29},6-\sqrt{29}[/tex]

Step-by-step explanation:

The given quadratic equation is [tex]x^2-12x+7=0[/tex]

The general form of quadratic equation is given by :

[tex]ax^2+bx+c=0[/tex]

Comparing both the equations,

a = 1, b = -12 and c = 1

The solution of a quadratic equation is given by :

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

Put all the values,

[tex]a=\dfrac{-(-12)\pm \sqrt{(-12)^2-4\times 1\times 7} }{2(1)}\\\\=\dfrac{12\pm \sqrt{116}}{2}\\\\=\dfrac{12\pm 2\sqrt{29}}{2}\\\\=6\pm \sqrt{29}[/tex]

So, the solutions of the given equation is [tex]6+ \sqrt{29},6-\sqrt{29}[/tex]. Hence, the correct option is (d).  

Kate loves to read. She wants to read all 70 books in her bookcase and has already finished 2. Write an equation to represent the time it will take for Kate to read all 70 books if she can read 3 books per month.

Answers

Answer:

simply do 70 divided by 12, then that divided by 3, in total it should take 1, 2, or 3 hours to read 3 books a month

Step-by-step explanation:

Aladder is 15 feet long. If a window is 10 feet from the ground, how far out from
the house will the ladder be if it is placed at the bottom of the window? *

No links
Thank you!

Answers

Answer:

2.5 feet

Step-by-step explanation:

10 feet is the length to the window this leaves us with 5 feet remaining half this to get a stable incline to the window (meaning we dont fall)

What are the coefficients of the equation 3x 6y 13 *?

Answers

In the equation [tex]3x-6y=-13[/tex] , the coefficient of equation are , coefficient  of  [tex]x[/tex] is [tex]3[/tex] and the coefficient of [tex]y[/tex] is [tex]-6[/tex] .

What are Coefficients ?

The Coefficients are defined as a number that is placed with a variable. It is a integer that is multiplied by the variable and written next to it.

In simpler words, we can say that ; a coefficient is a multiplicative factor in the terms of a polynomial, a series, or any expression.

The variables that do not have a number written with them are assumed to have 1 as their coefficient.

For example, in the expression [tex]3x[/tex] , the coefficient of [tex]x[/tex] is [tex]3[/tex] ,  but in the expression [tex]x^{2} +3[/tex], [tex]1[/tex] is the coefficient of [tex]x^{2}[/tex].

The equation to find the coefficient is given as [tex]3x-6y=-13[/tex] ,

we see that , the numerical part with [tex]x[/tex] is [tex]3[/tex] and with [tex]y[/tex] is [tex]-6[/tex] ;

Therefore , the coefficient of [tex]x[/tex] is [tex]3[/tex] and [tex]y[/tex] is [tex]-6[/tex] .

The given question is incomplete , the complete question is

What are the coefficients of the equation 3x -6y = - 13 ?

Learn more about Coefficients here

https://brainly.com/question/17436857

#SPJ4

Which of the following would NOT cast doubt of the usefulness of sample? data? Choose the correct answer below.
a. Order of questions in a survey
b. Missing data
c. Nonresponse
d. An effective sampling method

Answers

An effective sampling method is not cast doubt on the usefulness of the sample

The effective sample is a calculation of the approximate sample size needed to obtain the same degree of accuracy as a simple random sample. It is denoted mathematically by the formula n/D, where n represents the sample size and D denotes the design effect. It is employed as a means of condensing the volume of data.

Effective sample size calculations are mostly used for qualitative analyses of the sample size. The sample size calculates the total number of measurements or observations made during an experiment or survey. The effective sample size—rather than the actual sample size—is utilized in this assessment since it is thought that a sample size of 30 is necessary for an analysis to be valid.

To know more samples at:

https://brainly.com/question/27829028

#SPJ4

....................

Answers

Answer:

=98m^2

Step-by-step explanation:

11×4=44

9×6=54

44+54=98

=98m^2

Please help I have a learning disability
Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why.
72 - (63 - 8) and (72 - 63) - 8
yes, it uses the Identity Property
yes, it uses the Associative Property
yes, it uses the Commutative Property
No they are not equivalent. The first expression equals 17 and the second equals 1.

Answers

Answer: yes, it uses the Associative Property

Step-by-step explanation:

What is the interquartile range?

Answers

Answer:

40

Step-by-step explanation:

subtract q3 - q1

What is the slope of a line that is perpendicular to the line y = 1/5x + 2?

Answers

Step-by-step explanation:

It is in the form y=mx+c

so m1 = 1/5

Now the slope of the line perpendicular to the line Having slope m1 = 1/5 (m2)=?

when it is perpendicular, slope is given by

m1 x m2 = -1

1/5 x m2 = -1

m2 = -5

Jump to level 1

Housing prices in a small town are normally distributed with a mean of

$142,000 and a standard deviation of $7. 0. Use the empirical rule to

complete the following statement.

Approximately 95% of housing prices are between a low price of

$ Ex: 5000 and a high price of $

Modul Three Assignment Gui.

4. 2. Normal distribution - Goog.

Answers

By standard deviation, 68% housing price are between a low price of $135000 and a high price of $149000.

What is standard deviation in math?

The variability in your dataset is measured by its standard deviation. It reveals the average deviation between each result and the mean.

                           A low standard deviation denotes that values are grouped close to the mean, whereas a large standard deviation shows that values are often far from the mean.

Given,

         mean (μ) = 142000

  standard deviation (σ ) = 7000

 By using empirial rule,

                    P( μ - σ ≤ X ≤ μ + σ ) ≈ 68%

   Then,

             P(142000 - 7000 ≤ x ≤ 142000 + 7000 ) ≅ 68%

    P( 135000 ≤ x ≤ 149000 ) ≅ 68%

   

68% housing price are between a low price of $135000 and a high price of $149000.

Learn more about standard deviation

brainly.com/question/23907081

#SPJ4

Whiw do you graph y=3x-2

Answers

That's the graph for y=3x-2

find the area of the shape shown below 911 please help ASAP ​

Answers

Answer:

Hello! answer: 32

Hppe this helps!

Other Questions
There are 24 students in a class, and three of them are named Madison. There are no other students in the class with the same name. If the teacher calls on students randomly, which of the following BEST describes the probability of a Madison being chosen? If you cannot see, zoom in on the photo. Do not answer if you dont know the answer. Whoever answers correctly will get Brainliest! which is the best way to answer a 10 question multiple choice test in which each question has 6 choices for answers - 1 ) flipping a coin ? - 2 ) rolling a die ? - 3 ) spinning a spinner with 4 equal sections ?- 4 ) spinning a spinner with 10 equal sections What is the chain that Marely wears symbolic of?(A Christmas Carol) Calculate the potential energy of a rock of mass 500 g, held at a height of 2 m above ground. Lindsey also needs to calcite the commissions earned each month. If the company earns $200,000 or more in a month, the commission is 35% of the sales. If the company earns less than $200,000 in a month, the commission is 27% of the sales. Calculate the commissions as follows:a. In cell b17, enter a formula that uses the IF function and tests whether the total sales for January ( cell B10) is greater than or equal to 200000b. If the condition is true, multiply the total sales for January ( cell B10) BY 0.35 TO calculate a commission of 35%. On a piece of paper graph f(x) = 3x if x3 then determine which answer choice matches the graph you drew Which of the following are independent clauses? Select all that apply. they walked to class he listened to his friend several books for class be right back listened to his friend walked to class follower of a religion Workers at an animal reserve are preparing a new exhibit formeerkats. The exhibit must include at least 6.5 m2of space for each meerkat. The area of the exhibit is 78 m.How manymeerkats can the exhibit hold? Write, solve, and graph aninequality to find the possible numbers of meerkats.Show your workpls help! i will give brainly What is the volume of a cube with three 1/3 inch sides A $1,200 bond earns 3% simple interest per year on its purchase price. What is the amount of interest earned after 15 MONTHS? Select one: $1245 $3 $36 $45 I NEED HELP ASAP!!! PLEASE HELP ME!!!!!!! An item on sale costs 80% of the original price. The original price was 33% what is the distance between (-3,5) and (4,5) How many half lives would have passed if only 6.25% is still radioactive? The major difference between a wet tropical region and a tropical wet and dry region is ________. A. elevation B. pressure C. precipitation D. wind direction E. temperature The enzyme polyphenol oxidase and the substrate polyphenol can be extracted from crushed apples. The substrate turns brown when the enzyme is present. Some students were provided with extracts of the enzyme and the substrate. Describe a method the students could use to find the optimum temperature of the enzyme. Convert the improper fractions to mixed numbers Pls help! I dont have much time left :( What's 6+89 .help me pls I'm going to kermit sewer side