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

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:)

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:

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 :)

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.

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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.

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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

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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

What is the interquartile range?

Answers

Answer:

40

Step-by-step explanation:

subtract q3 - q1

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.

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The correct question is-

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

I don't know what to do, help​

Answers

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

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 ?

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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.

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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

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

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:

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

please help me!!!!!!!!

Answers

Answer:

3/4

Step-by-step explanation:

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

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

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

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).  

Whiw do you graph y=3x-2

Answers

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

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

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.

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.

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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:

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!

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

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

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

Answers

Answer:

Hello! answer: 32

Hppe this helps!

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)

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