Which set of side lengths forms a right triangle?

A. 6,8,10
B. 2,4,6
C.1,2,3
D. 2,3,4

Answers

Answer 1

Answer:

A. 6,8,10

Step-by-step explanation:

For a right triangle the the values for the three sides we pick must satisfy the Pythagorean theorem:

a(2 + b(2= c(2

A. 6,8,10

6(2 + 8(2 = 10(2

36 + 64 = 100

100 = 100

Bingo!

(For example lets solve the rest)

B. 2,4,6

2(2 + 4(2 = 6(2

4 + 16 = 36

20 ≠ 36

Nope.

C. 1,2,3

1(2 + 2(2 = 3(2

2 + 4 = 9

6 ≠ 9

No again!

D. 2,3,4

2(2 + 3(2 = 4(2

4 + 9 = 16

13 ≠ 16

Not this one.

Therefore our answer is A.


Related Questions

Bradley bought 8 quarts of lemonade. How many cups did Bradley buy?

Answers

Answer: 32 cups

Step-by-step explanation:

1 quart: 4cups

8 x 4 : 36 cups

bradley bought 32 cups. there are 4 cups in a quart

What is 0.08÷3.16? as a decimal.

Answers

Answer:

It's 0.03 rounded to the nearest hundredth.

Step-by-step explanation:

The whole answer is 0.0253164557.

Giving brainiest and 50 points! :)

Answers

Answer:

105 cm³

Step-by-step explanation:

Given:

Height of triangular base: 7 cmBase of triangular base: 5 cmHeight of triangular prism: 6 cm

Formula:

[tex]\text{Area of triangular prism:} \ (\text{Area of triangle}) \times \text{Height of triangular prism}[/tex]

Substitute the given measures in the formula to determine the volume.

[tex]\implies\text{Area of triangular prism:} \ (\frac{1}{2} \times 5 \times 7) \times 6[/tex]

Simplify the expression as needed.

[tex]\implies\text{Area of triangular prism:} \ (17.5) \times 6[/tex]

[tex]\implies\boxed{\text{Area of triangular prism:} \ 105 \ \text{cm}^{3}}[/tex]

Answer:

105 cm³

Step-by-step explanation:

Given:

Height of triangular base: 7 cm

Base of triangular base: 5 cm

Height of triangular prism: 6 cm

Formula:

Substitute the given measures in the formula to determine the volume.

Simplify the expression as needed.

Hannah is solving a quadratic equation in the form ax^2+ bx + c = 0
She has got to this point in her working out.
x = 3 +/- root 29 / 2
Find the values of a, b and c for the equation Hannah is solving.

Answers

A quadratic equation is represented by the form ax^2+ bx + c = 0

The values of a, b and c are 1, -3 and -5, respectively

How to determine the values of a, b and c?

The solution is given as:

[tex]x = \frac{3 \pm \sqrt{29}}2[/tex]

The solution to a quadratic equation is represented as:

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

By comparing [tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex] and [tex]x = \frac{3 \pm \sqrt{29}}2[/tex], we have:

-b = 3

So, b = -3

Also, we have:

2a = 2

So, a = 1

Also, we have:

b² - 4ac = 29

Substitute values for a and b

(-3)² - 4 * 1 * c = 29

This gives

9 - 4c = 29

Subtract 9 from both sides

-4c = 20

Divide by -4

c = -5

Hence, the values of a, b and c are 1, -3 and -5, respectively

Read more about quadratic equations at:

https://brainly.com/question/8649555

PLS HELP ITS ONLY 2 QUESTIONS

For number 6, Cylinder formula 3.14r^2*h (h=height)

For 5, pyramid formula 1/3b*h

5) base=33
Length=34
Height=21



6) pi=3.14
Radius=20
Height=31

Answers

Answer:

Cylinder: 3.14(20)^2*31

3.14(400)*31

1,256*31

becomes the answer 38,936!

Pyramid: 1/3(33)^2*21

1/3(1,089)*21

363*21

7,623!!!

Factories the following quadratic:
x^2 - 9x + 20

Answers

Answer:

[tex]\sf factorisation\hookrightarrow \: (x- 4)(x - 5)[/tex]

Step-by-step explanation:

Given equation

[tex] \sf {x}^{2} - 9x + 20 [/tex]

Rules for factorisation,

distribute the middle term in such a way that constant of each term when multiplied outputs the last number.

The middle term -9x can be written as sum of -5x and -4x, and when we multiply -5 with -4 it turns+20.

rewriting equation,

[tex] \sf \hookrightarrow {x}^{2} - 5x - 4x + 20 \\ \sf \hookrightarrow x(x - 5) - 4(x - 5) \\ \sf \hookrightarrow \: (x- 4)(x - 5)[/tex]

[tex] \sf factorisation\hookrightarrow \: (x- 4)(x - 5)[/tex]

Thanks for joining brainly community!

Answer:

(x - 5)(x - 4)

[tex] \: [/tex]

Step-by-step explanation:

So, here we have to factorise the polynomial :

[tex]\\ \longrightarrow \sf \qquad {x}^{2} - 9x + 20\\ \\[/tex]

We are to find two numbers such that,

[tex]\\ {\longrightarrow \pmb{\sf {\qquad p + q = 9 \:}}} \\ \\[/tex]

[tex]\\ {\longrightarrow \pmb{\sf {\qquad p \times q = 20 \:}}} \\ \\[/tex]

The two numbers are 4 and 5, so

[tex]\\ \longrightarrow \sf \qquad {x}^{2} - 5x - 4x+ 20\\ \\[/tex]

Finding common factors :

[tex] \\ {\longrightarrow \pmb{\sf {\qquad {x} (x - 5) - 4(x - 5) \:}}} \\ \\[/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (x - 5) (x - 4) \:}}} \\ \\[/tex]

Some points to know :

Factorisation is the reverse process of multiplucation.

The Factorisation is the process of finding two or more expressions such that their product is the given expression

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

It’s c
Explanation. 1 + 2= 3 and 1/6+2/6=3/6. 3/6 is equivalent to 1/2. So the answer is 3 1/2

Answer:

The Answer is 3 1/2 or C

Step-by-step explanation:

2+1=3

1/6+2/6=3/6

3/6 = 1/2

3 + 1/2 = 3 1/2

Find the volume of the figure below.

Answers

Answer:

a

Step-by-step explanation:

Volume = πr2h

= π×3.52×5

= 61.25π

= 192.42255003237 centimeters3

and

Volume = 7×5×12 = 420 feet3

so,

192.4+420= 612.4 cm^3

You received an $8500 bonus, which was 12% of your salary. What is your annual salary with this bonus?

Answers

Answer:

$79333

Step-by-step explanation:

[tex]salary:x[/tex]

[tex]12\%x=8500[/tex]

[tex]x=8500\div 12\%[/tex]

[tex]x=70833[/tex]

[tex]70833+8500=\$79333[/tex]

I hope this helps you

:)

-1/3 + -7/4 please help me​

Answers

Answer:

-25/12

Step-by-step explanation:

Given expression:

    [tex]\bullet \ \ \dfrac{-1}{3} + \huge\text{(}\dfrac{-7}{4} \huge\text{)}[/tex]

Open the parenthesis:

    [tex]\implies \dfrac{-1}{3} + \huge\text(\dfrac{-7}{4} \huge\text)[/tex]

    [tex]\implies \dfrac{-1}{3} - \dfrac{7}{4}[/tex]

Make common denominators:

    [tex]\implies \dfrac{-1 \times 4}{3 \times 4} - \dfrac{7 \times 3}{4 \times 3}[/tex]

    [tex]\implies \dfrac{-4}{12} - \dfrac{21}{12}[/tex]

Subtract the fractions:

    [tex]\implies \boxed{\dfrac{-25}{12}}[/tex]

The amount of Jake’s paycheck is directly proportional to the hours he works. After working 23 hours, his paycheck was $180.55. Determine the number of hours Jake needs to work to receive a paycheck of $290.45.

Answers

Answer:

35 hours

Step-by-step explanation:

if 6 people share 31 apples equally, how many apples should each person get ?

Answers

Answer:

5 apples

Step-by-step explanation:

[tex]\frac{31}{6}=5.16666667[/tex]

Since the problem asks for how many apples, you'll have to round down the number you get. 5.16666667 rounded down gives you 5 apples each.

Please Help! I'll give a lot of points!
Find the simple interest Jolie owes on a 2-year loan for $9,500 to buy a used car at the rate of 9% interest.

This is a TWO part question, make sure to answer both part A. and B.

A. Find the amount of interest. Show the math computation use to find the amount of interest.

B. What was the monthly payment? Show the work used to find this answer.

Answers

Answer:

A.  Interest = $1710

B.  Monthly payment = $467.08

Step-by-step explanation:

Simple interest formula:

[tex]\sf A = P(1+rt)[/tex]

where:

A = final amountP = principalr = annual interest rate (in decimal form)t = time (in years)

Given:

P = $9,500r = 9% = 0.09t = 2 years

Substitute given information into the formula:

[tex]\begin{aligned} \sf \implies A & = \sf 9500(1+0.09 \cdot 2)\\& = \sf 11210 \end{aligned}[/tex]

Interest = final amount - principal

             = 11210 - 9500

             = $1710

term = 2 years

1 year = 12 months

⇒ term = 2 × 12 = 24 months

Monthly payment = final amount ÷ months in term

                              = 11210 ÷ 24

                              = $467.08

Principle=P=9500Time=T=2yrsRate of interest=9%Interest be I

So

[tex]\\ \rm\rightarrowtail I=\dfrac{PRT}{100}[/tex]

[tex]\\ \rm\rightarrowtail I=\dfrac{9500(2)(9)}{100}[/tex]

[tex]\\ \rm\rightarrowtail I=95(18)[/tex]

[tex]\\ \rm\rightarrowtail I=\$ 1710[/tex]

#B

Total months=24

Monthly payment:-

Principle+Interest/months9500+1710/2411210/24467.08≈467$

A Parallelogram has one angle that measures 10°. What are the measures of the other three angles in the parallelogram?

Answers

given:

one angle= 10°

to find:

the remaining 3 angles.

solution:

angle sum= 360°

2x10=20

360–20=34

340/2=170

so, the remaining 3 angles are 10, 170 and 170.

Answer:

10, 170,  170

Step-by-step explanation:

Opposite angles of parallelogram are equal

Consecutive angles in a parallelogram are supplementary (add 180°)

Interior angles in a quadrilateral add up to 360°.

10+10=20   (2 opposite angles of 10 each)

360-20= 340

340/2 = 170 (2 opposite angles of 170)

10+170 = 180 (2 consecitive angles supplementary)

10+10+170+170=360

Use what you know about triangles to classify this triangle.

Triangle with two acute angles and one ninety degree angle. Two sides are the same length.

Answers

Isosceles triangle!!!

Answer:

I believe this is an isosceles triangle! Hope this helps ^^

of the ten menu items at deli, 7 are sandwiches With meat, 2 are sandwiches without meat, and 1 is a desert.Write the fraction of menu options that are sandwiches as a fraction with a denominator of 100. Then write the fraction as a decimal.

Answers

The fraction of menu options that are sandwiches is 70/100, or 0.7 in decimal form.

How to write the fraction?

Out of the 10 options on the menu, 7 are sandwiches.

Then the fraction of options in the menu that are sandwiches is:

7/10

But we want the denominator to be 100, so we multiply both numerator and denominator by 10 to get:

7*10/10*10 = 70/100

This is the fraction we wanted.

Now, we want it as a decimal, this will be:

70/100 = 0.7

If you want to learn more about fractions, you can read:

https://brainly.com/question/11562149

please help giving 20 points​

Answers

Answer: 13

Step-by-step explanation:

      We will use the order of operations to solve.

Given:

20 ÷ (5 * [tex]\frac{2}{5}[/tex]) + 3

Multiply:

20 ÷ ([tex]\frac{10}{5}[/tex]) + 3

Divide:

(20 * [tex]\frac{5}{10}[/tex]) + 3

[tex]\frac{100}{10}[/tex]

Add:

10 + 3

13

5ª×5ª=5¹¹. what r the value of a?​

Answers

Answer:

I think one is 5 and another is 6 because 5+6=11

Answer:

a=5

a=6

add the exponents and keep the base the same

Given circle E with diameter \overline{CD} CD and radius \overline{EA} EA . \overline{AB} AB is tangent to E at A. If EA=18 and DB=12, solve for AB. Round your answer to the nearest tenth if necessary.

Answers

The line AB from the diagrammatic expression of the tangent of the circle shows that line AB is 24.0

What is the tangent of a circle?

A tangent of a circle is a line that intersects the circle at a single point. The site at which the tangent intersects the circle is referred to as the site of tangency.

From the given information:

Line |CD| =  Diameter Line |EA| = radius = 18Line |DB| = 12

Then, we can infer that line EA = DE since they are both (radii of the circle.)

Line |DE| = |EA| = 18

By using the formula for Pythagoras theorem, we can find line |EA|.

hyp² = opp² + adj²

where;

Line |BE| = hypotenuse = DB + BE = 12 + 18 = 30Line |AB| = opposite (x) = ???Line |EA| = adjacent = 18

Thus;

30² = x² + 18²

900 = x² + 324

-x²  = -900 + 324

x  = √576

x = 24.0

Learn more about finding the tangent of a circle here:

https://brainly.com/question/16507124

Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)

Answers

Pythagorean theorem: a^2+b^2=c^2

3^2+b^2=5^2
9+b^2=25
b^2=16
b=Sqrt[16]
b=4

Length of the third side = 4

Solve for the area of the shape below. Don't forget
your units!!
13 in
9in
7in
18in
Area:

Answers

Answer:

63in^2

Step-by-step explanation:

base=18in

height=7in

Area=b*h*1/2

=18*7*1/2

=63in^2

Find the area of the shaded region

Answers

Answer:

Step-by-step explanation:

Remark

The easiest way is to find the area of the trianlge and subtract the area of the circle.

Area of the triangle

Area of the triangle = 1/2 b * h

b = 40 km

h = 27 km

The height is a little tricky. Since the angle at the base is greater than 90, you have to extend the base. Drop a line from the peak to the base making a right angle with the base. This has been done for you: the height is 27 km

Area of the triangle = 1/2 * 40 * 27

Area of the triangle = 540

Area of the circle

Area of the circle = pi r^2

r = d/2

r = 12/2

r = 6

Area of the circle = pi * 6*6

Area of the circle = 3.14 * 36

area of the circle = 113.04

Area of the shaded region

Area of the shaded region = area of triangle - area of the circle

Area of the triangle = 540

Area of the circle = 113.04

Area of the shaded region = 540 - 113.04

Area of the shaded region = 426.96

Please help me soon, been stuck for a while!

Answers

Answer:

Step-by-step explanation:

Answer:

3p + 2s = 27.5

3p + 2s = 27.54p + 3s = 37.5

Multiplies first equation by 4 and second equation by -3

12p + 8s = 110

12p + 8s = 110-12p + -9s = -112.5

12p + 8s = 110-12p + -9s = -112.5Adding them together-s = -2.5s = 2.5

12p + 8s = 110-12p + -9s = -112.5Adding them together-s = -2.5s = 2.53p + 2(2.5) = 27.5

12p + 8s = 110-12p + -9s = -112.5Adding them together-s = -2.5s = 2.53p + 2(2.5) = 27.53p +5 = 27.53p = 22.5p = 7.5

pumpkins weigh 7.5 pounds and squash weighs 2.5 pounds

hope it helps

pls mark as brainliest answer

follow me on brainly

Answer:

the blank is 10 lbs

Step by step:

3p + 2s = 27.5

3p + 2s = 27.54p + 3s = 37.5

Multiplies first equation by 4 and second equation by -3

12p + 8s = 110

12p + 8s = 110-12p + -9s = -112.5

12p + 8s = 110-12p + -9s = -112.5Adding them together-s = -2.5s = 2.5

12p + 8s = 110-12p + -9s = -112.5Adding them together-s = -2.5s = 2.53p + 2(2.5) = 27.5

12p + 8s = 110-12p + -9s = -112.5Adding them together-s = -2.5s = 2.53p + 2(2.5) = 27.53p +5 = 27.53p = 22.5p = 7.5

Answer 2:

pumpkins weigh 7.5 pounds and squash weighs 2.5 pounds

Find the measure of each angle indicated.

Answers

The measure of the unknown angle in the triangle is 58 degrees.

What is a triangle ?

A triangle has three sides and the sum of the angles of a triangle is 180 degrees.

Triangles can be classified base on there angles and length of the sides.

Therefore,

let the length of the unknown angle = x

x + 65° + 57° = 180°

x + 122 = 180

subtract 122 from both sides

x + 122 - 122 = 180 - 122

x = 58 degrees

leanr more on triangle here: https://brainly.com/question/8691602

A salesperson receives a 2.5% commission on sales what commission does the person receive for $8,000 in sales. ​

Answers

Answer:

8000 * 1.025 = 8200

commision = 200

Step-by-step explanation:

levi works 8 hours each workday . He works every day for 10 days. If he made 620 during those 10 days ,how much does levi make per hour?​

Answers

Answer:

7.75$

Step-by-step explanation:

620/10 = 62

This gives you the amount of hours (8) in the day

62/8 = 7.75

This gives you how much Levi makes each hour :)

A parallelogram has an area of 136.96 square kilometers and a height of 12.8 kilometers. What is the length of the base?

Answers

Answer:

the answer is 10.7

Step-by-step explanation:

[tex]136.96 \div 12.8 [/tex]

that show give you your answer

one sixth of a number is 9 algebraic expression​

Answers

Answer:

x= 54

Step-by-step explanation:

let the number be (x)

so One sixth of x will be 9

numerically,

1/6 × (x) =9

x= 9×6

x= 54

Given ↓The verbal phrase → one-sixth of a number is 9To find ↓The algebraic expression of the verbal phraseCalculations ↓

One-sixth can be written as [tex]^1/_6[/tex]

now, let the number be y

so one-sixth of y is written as

[tex]^1/_6~y~=~9[/tex]

If it's necessary to solve for y, consult the [Solving for y] section of this ans ↓

[Solving for y]

First we need to get rid of the fraction, one-sixth.

since in mathematics we can't just terminate fractions without altering the equation/expression itself, we need to perform an operation.

the first one is multiplication; we will multiply both sides of the equation by 6 (the denominator of the fraction)

[tex]^1/_6*6~y~=~9~*~6}[/tex]

On the left-hand side the 6's cancel, and we're left with

1 y = 9 * 6

Or

y = 9* 6

Which simplifies to :

y = 54

An oatmeal container is in the shape of a right circular cylinder. The radius of the base is 4 centimeters, and the height is 17 centimeters. What is V, the volume of the container in terms of π?



V =
π cm3

Answers

Answer:

V = 272 π cm^3

Step-by-step explanation:

r = 4 cm

h = 17 cm

V = πr^2h

V = π((4)^2)(17) cm^3 = 272 π cm^3

What do a rectangle and a kite have in common?

Answers

Answer:

- Both are quadrilaterals.

- Both have two pairs of side of equal length.

I hope my answer helps you.

Answer: 2 pairs of congruent sides

Hope this helps!

have a nice day!

Other Questions
Identify the correct business writing objective for the following description. Identify the problem you are trying to solve or the information you are trying to convey, and then develop a strategy to address that need. Please Help! Chemistry questions below! Your brother is twice as tall as your sister.A player scored 5 less points than Rodger.8 fewer than the sum of 14 and a number What is responsible for the apparent motion of the Moon in the sky from East to West? A)The rotation of Earth about its axis B)The revolution of Earth around the Sun C)The rotation of the Moon about its axis D)The revolution of the Moon around Earth what's the date today??? How can playing music affectus?It results in the release of dopamine,which can improve our mood.It is a way to connect with musicians,which can make us feel important.It allows us to explain our feelings,which can improve our friendships.It is a way to report something welearned, which can make us feel proud. Short paragraph on one day at my shop Can you think of an specific adaptations plants have made to survive in unique conditions? Which of the following functions is equal to f(x)=csc(x-9pi)+2 ? Select 3 answers help! p(x) = 4x^4 - 10x^3 + 8x - 1x = 8 Anne is 35 years old, Bob is 24 years old, Charlie has feature A, and Daniel doesnt have feature A. Youre allowed to ask people how old they are and whether they have feature A. You want to conclusively test the hypothesis among these four people, those above age 30 definitely have feature A.Whats the minimum number of people you have to ask?One personTwo peopleThree peopleFour peopleClearWhich people do you ask?AnneBobCharlieDaniel What happens to a 44-degree angle if you rotate it 90 degrees counterclockwise? Chase bought a pair of athletic shoes on sale for $38.85. The original price was $57.79. How much money did he save buying them on sale? A. $18.94 B. $19.94 C. $29.94 D. $96.94 How many like terms are in the expression a3+3a2b-4ab-11b+7 The blood carries nutrients to where they are needed. True False How many acres are left for home sites. David runs [tex]\frac{1}{2}[/tex] of a [tex]1\frac{1}{2}[/tex] mile relay race. How far does he run? A positive charge +Q is moving to the right and experiences a vertical (upward) magnetic force. In which direction is the magnetic field?O into the screenO upwardO out of the screenO to the leftO to the right can somebody explain how to do this Consider this system of equations.p = 2np - 5 = 1.5nWhat value of n makes the system of equations true.Explain how you got your answer. Water is a _____ molecule, which gives it many of its unique properties, including its ability as a universal solvent.