If the lengths of the legs of a right triangle are 4 and 8, what is the length of the hypotenuse?

PLEASE HELP

Answers

Answer 1

Answer:

[tex]4\sqrt{5}[/tex]

Step-by-step explanation:

In order to solve this problem, we can use the pythagorean theorem, which is

a^2 + b^2 = c^2, where and b are the legs of a right triangle and c is the hypotenuse. Since we are given the leg lengths, we can substitute them in. So, where a is we can put in a 4 and where b is we can put in an 8:

a^2 + b^2 = c^2

(4)^2 + (8)^2 = c^2

Now, we can simplify and solve for c:

16 + 64 = c^2

80 = c^2

c = [tex]\sqrt{80}[/tex]

Our answer is not in simplified radical form because the number under is divisible by a perfect square, 16. We can divide the inside, 80,  by 16, and add a 4 on the outside, as it is the square root of 16:

c = [tex]4\sqrt{5}[/tex]

Answer 2

The length of the hypotenuse in the given right triangle, with legs measuring 4 and 8, is approximately 8.94.

To find the length of the hypotenuse in a right triangle, we can use the Pythagorean theorem. According to the theorem, in a right triangle, the square of the hypotenuse's length is equal to the sum of the squares of the lengths of the other two sides.

In this case, let's label the lengths of the legs as 'a' and 'b', with 'a' being 4 and 'b' being 8. The hypotenuse, which we need to find, can be represented as 'c'.

Applying the Pythagorean theorem, we have:

[tex]a^2 + b^2 = c^2[/tex]

Substituting the given values:

[tex]4^2 + 8^2 = c^2[/tex]

16 + 64 = [tex]c^2[/tex]

80 = [tex]c^2[/tex]

To find the length of the hypotenuse 'c', we need to take the square root of both sides:

√80 = √ [tex]c^2[/tex]

√80 = c

The square root of 80 is approximately 8.94.

Therefore, the length of the hypotenuse in the given right triangle, with legs measuring 4 and 8, is approximately 8.94.

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Related Questions

Calculate using order of operations.
7.8+6.2×(4-1.5)×4​

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Answer:

I believe that the answer is 69.8

The answer is 69.8 I did the math if you can give me brainliest

Find the reciprocal of 4/5

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Answer:

its 5/4! haha i used to be good at this when i was in 6th grade:)

Two lines cross to make the letter x. The letter is 5 inches wide. What is the angle where the lines cross

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Answer:

24

Step-by-step explanation:

trudt

Helpppp please!!!!!!

Answers

Answer:

5/2

Step-by-step explanation:

tan&= 2/5(p/b)

here,

p=2,b=5

cot&=b/p

=5/2

find the distance between (3,3) and (3,4)​

Answers

Answer:

1

Step-by-step explanation:

√(4-3²+(3-3)²

√1¹+0

√1

1

Answer:

1 unit

Step-by-step explanation:

Since x- coordinates are same, the distance is the difference of the y-coordinates:

4 - 3 = 1

anyone help me. ....​

Answers

Answer:

see explanation

Step-by-step explanation:

Using the rules of exponents

All the exponents inside the parenthesis are multiplied by the exponent outside the parenthesis.

Then

[tex]\frac{m^{-7}n^{14} }{m^{-25}n^{40} }[/tex] ÷ [tex]\frac{m^{-21}n^{42} }{m^{-25}n^{40} }[/tex]

[ Using the rule [tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] ]

= [tex]m^{(-7-14)}[/tex] [tex]n^{(14-(-28)}[/tex] ÷ [tex]m^{(-15-10)}[/tex] [tex]n^{(25-(-15)}[/tex]

= [tex]m^{-21}[/tex] [tex]n^{14+28}[/tex] ÷ [tex]m^{-25}[/tex] [tex]n^{25+15}[/tex]

= [tex]\frac{m^{-21}n^{42} }{m^{-25}n^{40} }[/tex]

= [tex]m^{(-21-(-25))}[/tex] [tex]n^{(42-40)}[/tex]

= [tex]m^{(-21+25)}[/tex] n²

= [tex]m^{4}[/tex] n² = [tex]m^{x}[/tex] [tex]n^{y}[/tex] , so x = 4 and y = 2

Then

[tex]m^{x-2y}[/tex] = [tex]m^{4-2(2)}[/tex] = [tex]m^{4-4}[/tex] = [tex]m^{0}[/tex] = 1 ← as required

Cole deposits $500 into his savings account. The bank pays him 2% interest on the amount he has in his account. What expression would you

use to find the total Cole has in his account?

Answers

Answer:

500*2%=10

500+10=510

Step-by-step explanation:

Malia tried to prove that cos pheta = sin 90 degrees - pheta using the following diagram. her proof is not correct.

Answers

Answer:

Malia used the wrong sides in her ratio for sin (90-0)

Step-by-step explanation:

Got it right on Khan academy

please help me by answering this?

Answers

Answer:

180

Step-by-step explanation:

[tex]\frac{6}{2} x^{2} | \frac{8}{2}[/tex]

192-12=180

Find the area of triangle ABC to the nearest tenth if AB = 11 ft, ∠BCA = 67 , and ∠CAB = 28 .

Answers

Answer:

30.7

Step-by-step explanation:

Assuming the angled are degrees and not radian.

side BC= (11÷sin67)•sin28= 5.6

angle ABC= 180-67-28=85°

A= 11•5.6•sin85÷2≈30.68

What goes in the green box? Thank you :)

Answers

Answer:

The green box would be [tex]\frac{1}{8}[/tex].

Step-by-step explanation:

[tex]\frac{1}{2^{3}} = \frac{1}{8}[/tex]

Answer:

Step-by-step explanation:

R.A. = 50(1 - .5)^3

your question askes for the decay factor "green box"

that number is 1/2 (.5)

Determine the period

Answers

Answer:

16 units

Step-by-step explanation:

period = length of an interval that contains exactly one copy of the repeating pattern, so from one peak to another peak.

in this graph its the peaks are 1 and 17, hence the period is 16

Convert 5700 milligrams into pounds. Round your answer to the nearest hundred

Answers

Answer:

It should be 0.012566 rounded

Step-by-step explanation:

Answer:

0.01 pounds

Step-by-step explanation:

A milligram is approximately 2.2046e-6 pounds (which is really small), so 5700 milligrams is around 0.012566 pounds. Also, did you mean "hundredth"?

The lengths of two sides of a triangle are shown.

Side 1: 8x^2 − 5x − 2

Side 2: 7x − x2 + 3

The perimeter of the triangle is 4x^3 − 3x^2 + 2x − 6.

Part A: What is the total length of the two sides, 1 and 2, of the triangle? Show your work. (4 points)

Part B: What is the length of the third side of the triangle? Show your work. (4 points)

Part C: Do the answers for Part A and Part B show that the polynomials are closed under addition and subtraction? Justify your answer. (2 points)

Answers

Answer:

Step-by-step explanation:

Length 1 = 8x^2 - 5x - 2

Length 2 = 7x - x^2 + 3

Part A

Length of the two sides = 8x^2 - 5x - 2 + 7x - x^2 + 3

Length of the two sides = 8x^2 - x^2 - 5x + 7x - 2 + 3

Length of the two sides = 7x^2 + 3x + 1

Part B

The perimeter is 4x^3 - 3x^x + 2x - 6

The Third side must be Perimeter - the sum of the two sides.

The third side must be 4x^3 - 3x^x + 2x - 6 - 7x^2 - 3x - 1

The third side = 4x^3 - 4x^x -7x^2  - x - 7

Part C

The problem is now does this show closure. I would say it does not.  I don't think 4x^x is in the quadratic family. Let's take a simpler example of closure.

Suppose we say 4 + 5 = 9 and we say further that we are working with all the integers. 9 is an integer and so are 4 and 5.  So the integers are closed by addition.

4 - 5 = - 1  The answer (-1) is still an integer, so the example still shows closure.

But the question has things in it that show closure only if the set of numbers is the real numbers and even then I'm not certain. We have to ask what x^x is.

Combine f(x) =(x)(2x + 5) and g(x) = 2x2 - 13x + 6

Addition

Answers

Answer:

f(x) + g(x) is 2(2x² - 4x - 3)

Step-by-step explanation:

[tex]f(x) + g(x) = (x)(2x + 5) + ( {2x}^{2} - 13x + 6) \\ = (2 {x}^{2} + 5x) + (2 {x}^{2} - 13x + 6) \\ = 4 {x}^{2} - 8x - 6 \\ = 2(2 {x}^{2} - 4x - 3)[/tex]

[tex]\frac{1}{3} x = 18[/tex]

Answers

[tex]\\ \sf\longmapsto \dfrac{1}{3}x=18[/tex]

[tex]\\ \sf\longmapsto \dfrac{x}{3}=18[/tex]

Use cross multiplication

[tex]\\ \sf\longmapsto x=3(18)[/tex]

[tex]\\ \sf\longmapsto x=54[/tex]

1/3X =18
X=18•3/1
X=54

1. A rectangular table top is three times as long
as it is wide. Its width is 1 meter. Find the area of
the table top.

Answers

Answer: 3

Step-by-step explanation:

If the width is 1 and the length is 3 times the width, multiply 3x1 to find the length, and if you multiply the width x length you get 3

If x=2 and y=1, what is the value of the expression 3(y - 1) + 2x² ? a. 8 b. 10 c. 16 d. 18

Answers

Answer:

8

Step-by-step explanation:

3(y - 1) + 2x²

Let x =2 and y =1

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

3(0) +2(4)

0+8

reduce the following rational expression to the lowest form

[tex]\frac{64x^{5} - 64x}{( 8x^{2} +8) (2x +2) }[/tex]

please answer this. But no spam answers please
hurry

Answers

Answer:

4x(x - 1)

Step-by-step explanation:

Factor the numerator and denominator

64[tex]x^{5}[/tex] - 64x ← factor out 64x from both terms

= 64x([tex]x^{4}[/tex] - 1) ← difference of squares

= 64x(x² - 1)(x² + 1) ← x² - 1 is also a difference of squares

= 64x(x - 1)(x + 1)(x² + 1)

---------------------------------

(8x² + 8)(2x + 2) ← factor out 8 and 2 from each factor

= 8(x² + 1) × 2(x + 1)

= 16(x² + 1)(x + 1)

Then expression can be written as

[tex]\frac{64x(x-1)(x+1)(x^2+1)}{16(x^2+1)(x+1)}[/tex] ← cancel (x² + 1) and (x + 1) on numerator/ denominator

= [tex]\frac{64x(x-1)}{16}[/tex] ← cancel common factor 16 on numerator/ denominator

= 4x(x - 1)

the sides of this right triangle are 18 inches and 24 inches in length.

how long would the hypotenuse of this triangle be?

Answers

Answer:

30

Step-by-step explanation:

[tex]c^{2} = b^{2} + a^{2} \\[/tex] =  formula

a = 24

b = 18

576+324 = 900

do [tex]\sqrt{900} \\[/tex]

= 30

six times the difference of a number and 4 is no more than 10.

Answers

Answer: x = 17/3 or 5 2/3

Step-by-step explanation:

Let the number be x

ATQ

6(x -4) = 10

6x-24 = 10

6x = 10+24

6x = 34

x = 34/6

x = 17/3

please click thanks and mark brainliest if you like :)

The number is 17/3 if the six times the difference of a number and 4 is no more than 10 the answer is 17/3.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The question is incomplete.

The complete question is:

Six times the difference between a number and 4 is no more than 10. Find the number.

It is given that:

Let x be the number:

From the statement: "six times the difference of a number and 4 is no more than 10"

We can frame a linear equation in one variable:

6(x -4) = 10

Using distributive property:

6x -24 = 10

6x = 34

x = 34/6

x = 17/3

Thus, the number is 17/3 if the six times the difference of a number and 4 is no more than 10 the answer is 17/3.

Learn more about the linear equation here:

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What is 6.32 rounded to two decimal places ?

Answers

Answer:

6.32

Step-by-step explanation:

6.32 is also the same as 6.320,

so rounding it to two decimal points is 6.32

D.2 please help I’ll mark brainliest

Answers

Answer:

At 2

Step-by-step explanation:

I think it is because it slants down instead of going up. That is the reason why I say my answer is at 2.

HOPE THIS HELPED

HELP ASAP! correct answer gets brainly and 50 points!!!

Solve the equation for π.
A=12πr2

Answers

Answer:

π is equal to 3.14

A=πr^2 is the equation to get the area of a circle where r is the radius.

Answer:

π=A/12r2

Step-by-step explanation:

A=12πr2

divide both sides by 12r2

A/12r2=12r2/12r2

π=A/12r2

branches of chemistry

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{There is approximately 5 branches of chemistry.}\\\\\large\textsf{The branches are...}}\\\\\bullet\large\text{Analytical chemistry}\\\bullet\large\text{Biochemistry}\\\bullet\large\text{Inorganic chemistry}\\\bullet\large\text{Physical chemistry}\\\bullet\large\text{Organic chemistry}[/tex]

[tex]\star\large\textsf{\ \underline{\underline{Analytical chemistry}} is the science that prevails, communicates, and}\\\large\textsf{process the information about its arrangement of the matter.}\\\\\star\large\textsf{\ \underline{\underline{Biochemistry}} is the study of the process in the cellular \& molecular}\\\large\textsf{level}[/tex]

[tex]\star\large\textsf{\ \underline{\underline{Inorganic chemistry}} is the behavioral mood of the inorganic and the} \\\large\textsf{organometallic compounds. It is distributed with the synthesis.}\\\\\star\large\textsf{\ \underline{\underline{Physical chemistry}} is the changing and exchange of the materials.}[/tex]

[tex]\star\large\textsf{\ \underline{\underline{Organic chemistry}} is the study of the structure, property,}\\\large\textsf{(or properties) \& reactions of the organic compounds}[/tex]

[tex]\large\boxed{\frak{Good \ luck \ on \ your \ assignment \ \& \ enjoy\ your\ day!}}[/tex]

~[tex]\rm{Amphitrite1040:)}[/tex]

In the figure, ABC and DEF are similar. What's the scale factor from ABC to DEF?
(pls show how you got the answer)

Answers

Answer:

3

Step-by-step explanation:

The scale factor of ABC to DEF is the number you need to multiply a corresponding side of ABC to get one of DBC. We are given the two triangles are similar, so we can say that sides AB and DE are proportional. We are looking for the number we need to multiply AB by to get DE. From this relation, we can get the equation:

AB * x = DE

where x is our scale factor. We can substitute in the values of AB and DE, and solve for x:

5x = 15

x = 3

Therefore, the scale factor is three. This means that you can multiply any side of ABC by 3 to get a side of DEF.

Find the length of AC

Answers

Answer:

B. 9.35

Hope this helps...Have a good day!!

PLZ HELP NOW!

Geoffrey is trying to earn $50 to buy a video game. He has saved $14.25. He earns $3.75 per hour cleaning windows with his uncle and he earns $6.50 per hour working at the grocery store. Can Fred buy the video game if he works with his uncle for 3 hours and at the grocery store for 4 hours? Use the inequality 3.75y + 6.50z + 14.25 ≥ 50.

Yes, because the total will be $51.50.
Yes, because the total will be $60.25.
No, because the total will be $24.50.
No, because the total will be $37.25.

Answers

Answer:

yes the total will be 51.50

Step-by-step explanation:

3.75(3) + 6.50(4) + 14.25 [tex]\geq[/tex] 50.

11.25 + 26 + 14.25 = 51.50

Answer:

Yes, or A

Step-by-step explanation:

You can go onto a graphing calculator and input that inequality to find the solution, but you can multiply the 3.75 by 3 because he works with his uncle for 3 hours, and multiply the 6.5 by 4 to get 11.25 and 26. You add these together to get 37.25 and then add the 14.25 from his savings to get 51.50.

51.50 is how much he will have, and this is greater than 50.

How to do these two questions? ​

Answers

Answer:

C

A

Step-by-step explanation:

adjacent means neighboring, right next to it. that would be 1 and 4.

supplementary means being a complementary, an additional angle, so that in sum both angles together have 180 degrees. and that is only 1.

so, C is the answer.

angle 7 = 115 degrees.

so, angle 8 is supplementary to angle 7.

they are being mirrored on the other side of the line.

so, angle 6 = angle 7, and angle 5 = angle 8.

and the same quadruple of angles have to appear, where the crossing line crosses another, parallel line. they have to be the same angles there again.

so, angle 3 = angle 7, angle 4 = angle 8, angle 1 = angle 5, angle 2 = angle 6.

and because angle 6 is also = angle 7, we have angle 2 = angle 7 = 115 degrees.

Answer:

C and A

Step-by-step explanation:

∠ 5 and ∠ 1 are adjacent ( next to each other) on the same line

The angles on a straight line sum to 180° ( supplementary )

Then ∠ 1 is adjacent and supplementary to ∠ 5 → C

----------------------------------------------------------------------------

∠ 2 and ∠ 7 are alternate exterior angles and are congruent , then

∠ 2 = ∠ 7 = 115° → A

What is the remainder when 18,049 is divided by 14

Answers

Answer:

3

Step-by-step explanation:

18,049 / 14 = 1289 and 3/14

So the remainder = 3

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

3

Step-by-step explanation:

Quotient = 18049/14=1289

Using Formula,

Dividend = (Divisor x Quotient) + Remainder

Remainder = Dividend-(Divisor x Quotient)

Remainder = 18049-(14x1289)=3

                   

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