Which of the following could represent the unit side lengths of a right triangle

A 5,8,10

B 3,5,7

C 6,11,13

D 12,16,20

Answers

Answer 1

Answer:

Choice D

Step-by-step explanation:

If you check each one plugging in your info into this you can get [tex]a^{2} +b^{2} =c^{2}[/tex] that 12² + 16² will equal 400 which is the same as 20².

Answer 2

Answer:

Answer: D 12,16,20

Step-by-step explanation:

The Pythagora's Theorem

On a right triangle with side lengths of a,b, and c, being c the hypotenuse, of the longest side, it follows that:

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

The set {a,b,c} is often called a Pythagorean Triple.

Testing every option:

A

[tex]5^2+8^2=10^2[/tex]

[tex]25+64 = 100[/tex]

89 = 100

Since equality is false, 5,8,10 are not the side lengths of a right triangle.

B

[tex]3^2+5^2=7^2[/tex]

[tex]9+25 = 49[/tex]

34 = 49

Since equality is false, 3,5,7 are not the side lengths of a right triangle.

C

[tex]6^2+11^2=13^2[/tex]

[tex]36+121 = 169[/tex]

157 = 169

Since equality is false, 6,11,13 are not the side lengths of a right triangle.

D

[tex]12^2+16^2=20^2[/tex]

[tex]144+256 = 400[/tex]

400 = 400

Since equality is true, 12,16,20 could be the side lengths of a right triangle.

Answer: D 12,16,20


Related Questions

the length of a rectangular sign is 5 times its width. If the sign's perimeter is 24inches, what is the signs area

Answers

Answer:

20 square inches

Step-by-step explanation:

Set width of sign to x.

Set length of sign to y.

5x=y

2(x+y)=24 inches

2(x+5x)=24 inches

12x=24 inches

width = 2 inches

length = 10 inches

Area = 20 square inches

PLEASE GIVE BRAINLIEST

The area of the rectangular sign will be 20 square inches

What is the area of the rectangle?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that the length of a rectangular sign is 5 times its width. If the sign's perimeter is 24 inches.

The area of the rectangle will be calculated as follows:-

5x = y

2(x+y)=24 inches

2(x+5x)=24 inches

12x=24 inches

The area of the rectangle:-

width = 2 inches

length = 10 inches

Area = 20 square inches

Therefore, the area of the rectangular sign will be 20 square inches.

To know more about the area follow

https://brainly.com/question/25292087

#SPJ5

what is the common factor between 536 and 10​

Answers

Answer:

im pretty sure it is 2

Step-by-step explanation:

Can someone answer number 1? It’s a picture on top

Answers

I think this is the correct answer
0.3085
The answer is 0.3085 I think
When I calculated it that’s the answer it gave me

If x is the principal square root of 7, what must be true?

Answers

Are there any answer choices that you can give to me

In retailing there is a direct interaction with *
O producer
O
customer
O wholesaler
all of the above

Answers

I’m retailing there is a direct interaction with the answer is all of the above

A package of 6 pairs of insulated gloves cost $45.54. What is the unit price of the pairs of gloves?
ASAP PLEASE

Answers

Answer:

7.59 dollars is the unit price

Step-by-step explanation:

Kai sells a small magazine full of celebrity gossip to college students for $2.65 per copy. Hiring the printing press for one day, the only fixed cost, is $435 an issue. The variable cost of printing each issue is $0.82 per copy. The printer tells Kai the cost of hiring the press is to increase by $116 per day. If changing to color increases variable costs by $0.40, what is the percentage decrease in contribution margin resulting from the switch to color?

Answers

Answer:

Percentage decrease= 21.86%

Step-by-step explanation:

Giving the following information:

Selling price per unit= $2.65

Current variable cost= $0.82

Increase in variable cost= $0.4

To calculate the unitary contribution margin, we need to use the following formula:

Unitary contribution margin= selling price - unitary variable cost

Unitary contribution margin= 2.65 - 0.82

Unitary contribution margin= $1.83

New contribution margin= 2.65 - 1.22

New contribution margin= $1.43

Finally, the percentage decrease:

Percentage decrease= [1 - (1.43/1.83)]*100

Percentage decrease= 21.86%

Use differentials to approximate the value of the expression. Compare your answer with that of a calculator. (Round your answers to four decimal places.) (8.99)3 using differentials

Answers

Answer:

726.572699

Step-by-step explanation:

According to differentials

(x+Δx)³ = x³ + 3x²Δx + 3x(Δx)² + (Δx)³ (Using binomial expansion)

Using this formula to solve (8.99)³, this can also be written as;

(8.99)³ =  (9-0.01)³ where

x = 9

Δx = -0.01

Substitute this vales into the differential expression above

(9+(-0.01))³ = 9³ + 3(9)²(-0.01) + 3(9)(-0.01)² + (-0.01)³

(9+(-0.01))³ = 729 + (243)(-0.01) + 27(0.0001) + (-0.000001)

(9+(-0.01))³ = 729-2.43+0.0027-0.000001

(9+(-0.01))³ = 729-2.43+0.0027-0.000001

(9+(-0.01))³  = 726.572699

Hence 8.99³ = 726.572699 (Using differential)

Using calculator;

8.99³ = 726.572699

a 38.6 kg is a marble slab is shown above. what is the density

Answers

The question is incomplete. The dimension of the marble slab is 23 cm by 17 cm by 4 cm.

Solution :

Given

The mass of the marble slab, m = 38.6 kg

                                                    = 38600 g

Length, l = 23 cm

breadth , w = 17 cm

Thickness, h = 4 cm

Therefore, volume of the slab is V = 23 x 17 x 4

                                                         = [tex]$1564 \ cm^3$[/tex]

We know,

[tex]$\text{density}= \frac{\text{mass}}{\text{volume}}$[/tex]

          = [tex]$\frac{38600}{1564}$[/tex]

          = [tex]$24.7 \ g/cm^3$[/tex]

Sidra is building a birdhouse. She drills a hole with a drill bit and tries to find a corresponding screw. The 1/4 inch screw is too big, and the 1/8 inch screw is too small. Which of the following could be the size of the drill bit Sidra used? 1/2 inch, 3/16 inch, 5/16 inch, 4/32 inch, or 8/32 inch

Answers

3/16
1/8 < x < 1/4
1/2 > 1/4 so 1/2 is wrong
If we multiply both top and bottom of 1/4 by 4 we get 4/16 which is less than 5/16 so 5/16 is wrong
4/32 can be simplified to 1/8 which is given to be too small so 4/32 is wrong
8/32 can be simplified to 1/4 which is given to be too big so 8/32 is wrong

Jean paid $26 for a pair of pants and $19 for a blouse. How much more did she pay for the pants than for the blouse?

Answers

Answer:

$5 More

Step-by-step explanation:

$26 - $19 = $5

Answer:

She paid $7 more

I WILL GIVE YOU 20 POINTS AND THE BRAINLYEST
all of the points in the picture are on the same line.

Find the slope on the like exain or show your reasoning

write and equation for the line.

find the values for A and B. Explain your reasoning. ​

Answers

Answer/Step-by-step explanation:

✍️Slope of the line using two points, (2, 2) and (6, 10),

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{10 - 2}{6 - 2} = \frac{8}{4} = 2 [/tex]

✍️To find the equation of the line in slope-intercept form, we need to find the y-intercept (b).

Substitute x = 2, y = 2, and m = 2 in y = mx + b, and solve for b.

2 = (2)(2) + b

2 = 4 + b

2 - 4 = b

-2 = b

b = -2

Substitute m = 2 and b = -2 in y = mx + b.

✅The equation would be:

[tex] y = 2x + (-2) [/tex]

[tex] y = 2x - 2 [/tex]

✍️To find the value of a, plug in (a, 8) as (x, y) into the equation of the line.

[tex] 8 = 2(a) - 2 [/tex]

[tex] 8 = 2a - 2 [/tex]

Add 2 to both sides

[tex] 8 + 2 = 2a [/tex]

[tex] 10 = 2a [/tex]

Divide both sides by 2

[tex] \frac{10}{2} = a [/tex]

[tex] 5 = a [/tex]

a = 5

✍️To find the value of b, plug in (4, b) as (x, y) into the equation of the line.

[tex] b = 2(4) - 2 [/tex]

[tex] b = 8 - 2 [/tex]

[tex] b = 6 [/tex]

Mixed in a drawer are 2 blue​ socks, 8 white​ socks, and 6 gray socks. You pull out two​ socks, one at a​ time, without looking. Find the probability of getting 2 socks of the same color.

Answers

Answer:

6/16

Step-by-step explanation:

Write them out bb wwwwwwww gggggg

there are 16 in total so it would be 6/16 because of each color like bb ww gg thats 6 out of 16

The probability of getting 2 socks of the same color is 1/3.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

In the drawer,

Number of blue socks = 2

Number of white socks = 8

Number of gray socks = 6

Total number of socks  = 2 + 8 + 6 = 16

The Total ways to select 2 socks form 16 socks is 120.

The Total ways to select 2 socks of the same color is

T = Possible ways of (2 blue + 2 white +2 gray) socks = 40

The probability of getting 2 socks of the same color is

= 40/120

= 1/3

Therefore, the probability of getting 2 socks of the same color is 1/3.

Learn more about probability here;

https://brainly.com/question/11234923

#SPJ6

The weights of broilers (commercially raised chickens) are approximately normally distributed with mean 1395 grams and standard deviation 200 grams. Use the TI-84 Plus calculator to answer the following. (a) What proportion of broilers weigh between 1160 and 1250 grams?(b) What is the probability that a randomly selected broiler weighs more than 1510 grams? (c) Is it unusual for a broiler to weigh more than 1610 grams? Round the answers to at least four decimal places.

Answers

Answer:

a) 0.0977

b) 0.3507

c) No it is not unusual for a broiler to weigh more than 1610 grams

Step-by-step explanation:

Mean = 1395 grams

Standard deviation = 200 grams. Use the TI-84 Plus calculator to answer the following.

We solve using z score formula

z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

(a) What proportion of broilers weigh between 1160 and 1250 grams?

For x = 1160

z = 1160 - 1395/300

= -0.78333

Probability value from Z-Table:

P(x = 1160) = 0.21672

For x = 1250 grams

z = 1250 - 1395/300

z = -0.48333

Probability value from Z-Table:

P(x = 1250) = 0.31443

The proportion of broilers weigh between 1160 and 1250 grams is

0.31443 - 0.21672

= 0.09771

≈ 0.0977

(b) What is the probability that a randomly selected broiler weighs more than 1510 grams?

For x = 1510

= z = 1510 - 1395/300

z = 0.38333

Probability value from Z-Table:

P(x<1510) = 0.64926

P(x>1510) = 1 - P(x<1510) = 0.35074

Approximately = 0.3507

(c) Is it unusual for a broiler to weigh more than 1610 grams?

For x = 1610

= z = 1610 - 1395/300

z = 0.71667

Probability value from Z-Table:

P(x<1610) = 0.76321

P(x>1610) = 1 - P(x<1610) = 0.23679

No it is not unusual for a broiler to weigh more than 1610 grams

what is the value of f(x)=3x-4 if x = -4?​

Answers

Answer:

-16

Step-by-step explanation:

when x = -4

f(-4) = 3(-4) - 4 = -16

Answer:

f(-4)=3(-4)-4

f(×)=48

Math HELP PLEASEE URGENT NOWWWWWW MATH!!!!

Answers

Answer:

A

Step-by-step explanation:

Answer is the first choice. you can tell by the notation.

Answer:

is A

Step-by-step explanation:

Because i now how do this

please help! due in less than 20 minutes!

Answers

Answer:

1. -8 feet= 8 feet

-2 feet= 2 feet

2.  Jordin’s balance is a debt of MORE than 27$

3. Dinah had the greatest DECREASE in weight, with losing 1.4 pounds.

Hope this helps hun! Good Luck!

At what angle does a diffraction grating produce a second-order maximum for light having a first-order maximum at 20.0 degrees?

Answers

Answer:

At 43.2°.

Step-by-step explanation:

To find the angle we need to use the following equation:

[tex] d*sin(\theta) = m\lambda [/tex]

Where:

d: is the separation of the grating

m: is the order of the maximum

λ: is the wavelength

θ: is the angle              

At the first-order maximum (m=1) at 20.0 degrees we have:

[tex] \frac{\lambda}{d} = \frac{sin(\theta)}{m} = \frac{sin(20.0)}{1} = 0.342 [/tex]

Now, to produce a second-order maximum (m=2) the angle must be:

[tex] sin(\theta) = \frac{\lambda}{d}*m [/tex]

[tex] \theta = arcsin(\frac{\lambda}{d}*m) = arcsin(0.342*2) = 43.2 ^{\circ} [/tex]

Therefore, the diffraction grating will produce a second-order maximum for the light at 43.2°.    

I hope it helps you!                                                        

Which of the equations below could be the equation of this parabola?
(0,0)
Vertex
5
O A. x = 1 / ²
O B. - *
O c. y - 1²
D. x - - 1 / 2
0

Answers

The answer is D.
I hope is correct, I did my best!!!

Based on the graph, an equation which could be the equation of this parabola is x = -5y².

How to find the equation of a parabola.

Mathematically, the general equation of a parabola is given by:

[tex]y = a(x-h)^2 + k \\\\ x= a(y-k)^2 +h[/tex]

Where:

h and k represents the vertex.

Also, the standard equation of a regular parabola is given by:

y = x²/4a

Note: The vertex for this parabola is at the origin (0, 0).

Based on the graph, an equation which could be the equation of this parabola is x = -5y².

Read more on parabola here: https://brainly.com/question/25651698

On Saturday, Nikki and Tyler walked to the local farmer’s market. Nikki bought 8 apples for $6. Tyler bought 3 fewer apples than Nikki. How much did Tyler spend on apples?

Answers

Answer: 3.75

Step-by-step explanation:

8 apples = $6

4 apples = $3

2 apples = $1.5

1 apple = 0.75

3 +.75= 3.75

Answer:

3.75

Step-by-step explanation:

8/6 is 75 cents 8-3 is 5 75 cents x 5 3.75

-2x + y = 1
7x - y = -1

Answers

-8x+y

9-y

this is the answer because it is

Answer:

i dont know what you want but i will give you it to you in slope intercept form and the x and y intercept for both eqautions

Step-by-step explanation:

first equation:

y=2x+1

x intercept:(-1/2,0)

y intercept: (0,1)

second equation:

y=7x+1

x intercept:(-1/7,0)

y intercept: (0,1)

hope this helps pls mark brainliest this took me a long time to do :)

If triangle ABC is equilateral, and side AC is 7m long, how long is side BC?

Answers

Answer:

7m

Step-by-step explanation:

In an equilateral triangle all the sides and angles are the same

I believe the answer is 8m

Your last doctor visit cost $105 health insurance through your employer pay $84 and you pay the remaining $21 what percentage of the cost if you pay

Answers

Answer:20% percentage of the cost you pay .

Step-by-step explanation:

Formula

As given

Your last doctor’s visit cost $105.

Health insurance through your employer paid $84, and you paid the remaining $21.

Part value = $21

Total value = $105

Put all the values in the formula

Percentage = 20%

Therefore the 20% percentage of the cost you pay .

Answer: 20%

Step-by-step explanation:

Write an equation for the line in the given form.
Contains the points (2,8) and (3, 11); slope-intercept form

Answers

Answer:

y = 3x + 2

Step-by-step explanation:

y=mx+b is slope intercept form

to find slope (m):

y2-y1/x2-x1 = 11-8/3-2 = 3

your slope is 3 so 3x

to find the y-intercept (b):

plug in y and x from either of the two points

(2,8)... 8=3(2)+b and solve for b which equals 2

so final equation is y=3x+2

three less than the sum of a number and
twelve

Answers

Answer:

(x + 12) - 3

Step-by-step explanation:

I used x for "a number".

Hope this helps and pls do mark me brainliest:)

Calleigh puts 5 nickels into an empty hat. She
wants to add enough pennies so that the probabil-
ity of drawing a nickel at random from the hat is 1/6
How many pennies should she put in?

Answers

Calleigh should put in 30 pennies

solve
the following linear Equations
152x-378y=-74
-378x+152y=604​

Answers

Answer:

x=2& y=1

Step-by-step explanation:

check it out

whether answer is correct or not

What is the approximate ratio of the difference in means to the MADs of the data sets? 4 6 7 31

Answers

Answer: The answer is 6

Step-by-step explanation:

Edginuity

Answer:

B: 6

Step-by-step explanation:

edg2020

What is the horizontal distance from the origin to the point 2,9

Answers

Answer:

2

Step-by-step explanation:

The x-coordinate of point (2, 9) is 2.

The distance from 0 to 2 on a number line is 2.

Answer: 2

find the sum of 301+73+27 , mentally, using the associative property of addition. Show how you can use the property to group two of the addends. Explain how you found the sum.

Answers

Answer:

401

Step-by-step explanation:

301 + 73 + 27

Using the correct order of operations, you would start by adding 301 to 73. Then you'd add 27 to that sum.

Using the associative property of addition, you change the grouping to add 73 and 27 first since that equals 100, and it's easy to add 100 to 301 mentally.

301 + 73 + 27 =

= 301 + (73 + 27)

= 301 + 100

= 410

Other Questions
ASAP! I need help with A, B, and C If a cell completes the cell cycle, then the resulting cells also complete the cell cycle, how many total cells have been formed?1. 22. 43. 64. 8Please hurry i got 10 min left in class and dont know answer ); List at least two advantages and one disadvantage of being part of a kingdom. Which of the following statements BEST explains the Confederacy'sbiggest strength They had a better economy due to cash crops (i.e. cotton and tobacco)They were fighting for their way of life and all they ever had or knew.They had a friend in other countries, such as France. What is the outcome of meiosis?A. Meiosis creates four identical daughter cells B. Meiosis creates two unique daughter cellsC. Meiosis creates two identical daughter cellsD. Meiosis creates four unique daughter cells 5 times a number increased by 4 is at leastnineteen How does self-selection into lower-paying jobs impact women 6. What is an equation of the line that passesthrough the point (2, 4) and is perpendicular tothe line whose equation is y = 2x + 1? How to simplify this equation? Jim opens a CD with $5000 and earns interest at an apt of 5.25%. How much interest would be earned and what would be the balance if he keeps the money in the account for 2 years? Look at the frame from Iqbal.An announcer says, "The Youth in Action Award for human rights is given to Iqbal Masih!"Read the excerpt from the prologue of Free the Children.Later that year he arrived in Boston to receive the Reebok Youth in Action Award.Holding a pencil in one hand and a carpet tool in the other, Iqbal stood before the audience. And in his small but commanding voice he spoke of the horrors of child labour. The room was intensely silent.Which statement best describes a difference between the frame and the excerpt?Only the excerpt mentions the award Iqbal received in Boston for his work to liberate children.Only the excerpt shows what the podium looked like before Iqbal gave his speech.Only the excerpt tells about the atmosphere in the room after Iqbal received the award.Only the excerpt describes the look on Iqbals face when his name was announced. What is Jensen's alpha of a portfolio comprised of 45 percent portfolio A and 55 percent of portfolio B?PortfolioAverage ReturnStandard DeviationBetaA18.9%21.6%1.92B13.212.81.27The risk-free rate is 3.1 percent and the market risk premium is 6.8 percent.2.04 percent0.47 percent1.08 percent1.46 percent1.25 percent The first excited electronic energy level of the helium atom is 3.13 x 10-18 J above the ground level. Estimate the temperature at which the electronic motion will begin to make a significant contribution to the heat capacity. That is, at what temperature will the ratio of the population of the first excited state to the ground state be 5.0%? Mike has a loan of $36,320. This loan has a simple interest rate of 6% per year. What is theamount of interest that will be charged on this loan at the end of the first year?Help:( Find the minimum, maximum, and average grade of final exams in sections taught by Todd Smythe. If process P0 is switched to process P1, state for P0 will be saved into ____, and state from ___ will be reloaded. What is the value of the function at x=-2Y=-4Y=0Y=2Y=3 A mutation causes a dog to be born with a tail that is shorter than normal. Which best describes this mutation? It is harmful because it obviously affects the dogs survival. It is harmful because it affects the dogs physical appearance. It is neutral because it does not obviously affect the dogs survival. It is beneficial because it affects the dogs physical appearance. Separate 185 into two parts so that one part is 31 more than the other part. Find each part. Why do you think anti-Semitism exists to this day?