Kelsey measured the sides of a porch to determine if it is a right triangle. Does her porch with side lengths of 42 feet, 56 feet, and 70 feet form a right triangle?

Yes, because 1st picture
Yes, because 2nd picture
No, because 3rd picture
No, because 4th picture

Kelsey Measured The Sides Of A Porch To Determine If It Is A Right Triangle. Does Her Porch With Side
Kelsey Measured The Sides Of A Porch To Determine If It Is A Right Triangle. Does Her Porch With Side
Kelsey Measured The Sides Of A Porch To Determine If It Is A Right Triangle. Does Her Porch With Side
Kelsey Measured The Sides Of A Porch To Determine If It Is A Right Triangle. Does Her Porch With Side

Answers

Answer 1

Answer:

Yes, because 2nd picture

Step-by-step explanation:

we know that

If the side lengths of a triangle satisfy the Pythagoras Theorem, then is a right  triangle  

The Pythagoras Theorem states that

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

where

c is the greater side

a and b are the legs of triangle

we have

[tex]c=70\ ft[/tex]

[tex]a=42\ ft[/tex]

[tex]b=56\ ft[/tex]

substitute

[tex]70^{2}=42^{2}+56^{2}[/tex]

[tex]4,900=4,900[/tex]

therefore

Is a right triangle

Answer 2

Final answer:

Kelsey's porch does form a right triangle because the sum of the squares of the side lengths (42 feet and 56 feet) equals the square of the hypotenuse (70 feet) when applying the Pythagorean Theorem.

Explanation:

To determine if Kelsey's porch forms a right triangle, we need to apply the Pythagorean Theorem, which states that in a right triangle, the sum of the squares of the lengths of the two perpendicular sides (a and b) is equal to the square of the length of the hypotenuse (c).

The formula is a² + b² = c².

For Kelsey's porch, the side lengths are:

Side a = 42 feet

Side b = 56 feet

Side c (potential hypotenuse) = 70 feet

Let's calculate:

42² + 56² = 70²

1764 + 3136 = 4900

4900 = 4900

Since the sum of the squares of the two shorter sides is equal to the square of the longest side, the porch does form a right triangle. The answer is Yes.


Related Questions

A baker uses 4 cups of flour. She uses 1/4 cup to flour the counters and rest to make 8 identical muffins. How much flour is in each muffin? Answer must be in fractional form.

Answers

Answer:

15/32 cup

Step-by-step explanation:

Apparently, you're to assume that flour used on the countertop does not end up in the muffins. If that is the case, then the amount of flour in the 8 muffins is ...

4 cups - 1/4 cup = 3 3/4 cups

When that is divided evenly among 8 muffins, the amount in each is ...

(1/8)·(3 3/4 cups) = (1/8)·(15/4 cups) = 15/32 cup

Answer: 15/32

Step-by-step explanation: Because she uses 1/4 to flour the counter you need to subtract 1/4 from four which gives you 3 3/4. 3 3/4 divided by eight equals 15/32

Find the slope and the y-intercept of the equation 4x + 5y = -9.
A. slope = 4/5' and y-intercept = '-(9)/(5)
B. slope = `-(4)/(5) and y-intercept = (9)/(5)
Oc. slope = *-(4)/(5) and y-intercept = *-(9)/(5)
D. slope = °(4)/(5) and y-intercept = "9/59

Answers

Answer:

slope= -4/5

y intercept= - 9/5

Step-by-step explanation:

Which conic section is represented by the polar equation r=3/(4+2sintheta)?
A. ellipse
B. hyperbola
C. parabola
D. circle

Answers

Answer:

The conic is an ellipse  ⇒ answer A

Step-by-step explanation:

* Lets explain how to solve the problem

- The polar form equation of a conic with a focus at the origin, the

 directrix is y = ± p where p is a positive real number, and the

 eccentricity is a positive real number e is r = ep/(1 ± e sin Ф)

# If 0 ≤ e <1, then the conic is an ellipse

# If e = 1, then the conic is a parabola

# If e > 1, then the conic is an hyperbola

- Lets solve the problem

∵ The equation of the conic is r = 3/(4 + 2 sin Ф)

∵ The form of the equation is r = ep/(1 ± e sin Ф)

- We must divide up and down by 4 to make the 1st term of the

 denominator equal 1

∴ r = (3/4)/(1 + (2/4) sin Ф)

∴ ep = 3/4

∴ e = 2/4

- Lets use the rules above to identify the type of the conic

∵ e = 2/4 = 1/2

∴ 0 ≤ e < 1

The conic is an ellipse

Answer:

A C D are the answers

Step-by-step explanation:

Ellipse, r=1/1-cos theta, r=3/2-3cos theta

A car travels 35 miles on each gallon of gas. How far will it travel on 6 gallons?

Answers

Answer:

210 miles

Step-by-step explanation:

35 x 6

HELP ME PLSSSSSS OMG!!!!!!!!

Answers

Answer:

B

Step-by-step explanation:

The graph has a negative slope of 3, so him earning $3 wouldn't make sense, nor would him earning or spending $0.30

10 points someone help me please!?

Answers

Answer:

[tex]\large\boxed{b=\sqrt{95}}[/tex]

Step-by-step explanation:

Use the Pyhagorean theorem:

[tex]leg^2+leg^2=hypotenuse^2[/tex]

We have

[tex]leg=b,\ leg=7,\ hypotenuse=12[/tex]

Substitute:

[tex]b^2+7^2=12^2[/tex]

[tex]b^2+49=144[/tex]       subtract 49 from both sides

[tex]b^2=95\to b=\sqrt{95}[/tex]

Which function shows the final number of tires, y, produced by two of each machine working for x number of hours?

y = 55x – 1
y = 57x – 3
y = 110x – 2
y = 114x – 6

Answers

Answer:

y=110x-2... I might be wrong...

Step-by-step explanation:

Answer:

y=114x-6

Step-by-step explanation:

i got a 100 on ed2021 good luck yall

The sum of 5 consecutive integers is 110.
What is the fourth number in this sequence?

Answers

Answer:

Step-by-step explanation:

let:  x , x+1 , x+2 ,x+3 , x+4 ....( 5 consecutive integers is 110)

x+x+1 +x+2 +x+3+x+4=110

5x +10 = 110

5x =100

x=100/5

x=20

the fourth number in this sequenceis : x+3  so : 23

Which point is part of the solution of the inequality y<=|x+4|-3

Answers

Hello!

The answer is: The point (0,0) is part of the solution.

Why?

To find which point is part of the solution of the inequality, we need to evaluate each of the given points. If the inequality is satisfied, then the point is part of the solution, otherwise, if the inequality is not satisfied, the point is not part of the solution.

We are given the inequality:

[tex]y\leq |x+4|-3[/tex]

So, evaluating we have:

- First point (-2,1)

[tex]y\leq |x+4|-3\\\\1\leq |-2+4|-3\\\\1\leq |2|-3\\\\1\leq 2-3\\\\1\leq -1[/tex]

Now, since 1 is not less or equal to -1, the point (-2,1) is not part of the solution.

- Second point (1,3)

[tex]y\leq |x+4|-3\\\\3\leq |1+4|-3\\\\3\leq |5|-3\\\\3\leq 5-3\\\\3\leq 2[/tex]

Now, since 3 is not less or equal to 2, the point (1,3) is not part of the solution.

- Third point (-4,2)

[tex]y\leq |x+4|-3\\\\2\leq |-4+4|-3\\\\2\leq |0|-3\\\\2\leq 0-3\\\\2\leq -3[/tex]

Now, since 2 is not less or equal to -3, the point (-4,2) is not part of the solution.

- Fourth point (0,0)

[tex]y\leq |x+4|-3\\\\0\leq |0+4|-3\\\\0\leq |4|-3\\\\0\leq 4-3\\\\0\leq 1[/tex]

Now, since 0 is less than 1, the point (0,0) is part of the solution.

Hence, we have that the point (0,0) is part of the solution.

Have a nice day!

I appreciate for those who are trying to help

Answers

Answer:

3 * pi

B

Step-by-step explanation:

The diameter is 3 inches.

radius = diameter / 2

radius = 3 / 2 = 1.5 inches.

The circumference of a circle = 2*pi*r where r is the radius, and pi = 3.14

C = 2 * pi * 1.5

C = 3 * pi

B

what is the prime factorization of 25n^2​

Answers

5??? Not 100% Sure If Im Correct.

Find the missing value so that the two points have a slope of -2 (1,y)and (6,-5)

Answers

Final answer:

To find the missing value so that the two given points have a slope of -2, substitute the values into the slope formula and solve for y. The missing value is y = 5.

Explanation:

To find the missing value for the given points (1, y) and (6, -5) so that the two points have a slope of -2, we can use the formula for finding the slope between two points:

Slope = (y₂ - y₁) / (x₂ - x₁)

Substituting the given values into the formula, we have:

(-5 - y) / (6 - 1) = -2

Simplifying this equation:

-5 - y = -2(6 - 1)

-5 - y = -2(5)

-5 - y = -10

Solving for y:

y = -5 + 10

y = 5

Therefore, the missing value 'y' is 5.

Which is an equation PLS HELP MEEEE

Answers

Answer:

It should be D if that is an option.

Step-by-step explanation:

The equation is y= -3/2 x + 3

The slope is -3/2. It goes down 3 and over 2 to the right.

The y-intercept is positive 3. It intersects with the y-axis at the point (3,0).

Answer:

y = -3/2x + 3

Step-by-step explanation:

To find the equation for the graph, first you must find the slope. Pick 2 random points on the line, [for example (2,0) and (0,3)] You can find the slope by using the formula rise/run [rise over run]. To get from point (2,0) to point (0,3) you have to go up 3 and left 2 [resulting in the negative infront of 3/2. if you went right, ti would've been positive.] Then you have your slope, -3/2x

Next find the y-intercept [the point where the line hits the y-axis]

The line hits the y-axis at (0,3), so your y-intercept s 3.

Therefore, the equation is -3/2x+3

what is the graph of the solution to the following compound inequality?

Answers

Answer:

C.

Step-by-step explanation:

<, > - open circle

≤, ≥ - solid circle

<, ≤ - draw to the left

>, ≥ - draw to the right

[tex]3-x\geq2\qquad\text{subtract 3 from both sides}\\\\-x\geq-1\qquad\text{change the signs}\\\\\boxed{x\leq1}\\\\4x+2\geq10\qquad\text{subtract 2 from both sides}\\\\4x\geq8\qquad\text{divide both sides by 4}\\\\\boxed{x\geq2}[/tex]

Which of the following is a polynomial function in standard form with zeros at -8,-1 and 3? Help needed!!! 10 points!!! Math 3

Answers

ANSWER

[tex]f(x) = {x}^{3} + 6 {x}^{2} - 19 - 24[/tex]

EXPLANATION

The polynomial function has zeros at:

-8,-1 and 3

This means the polynomial can be factored as:

[tex]f(x) = (x + 8)(x + 1)(x - 3)[/tex]

We expand the last two factors:

[tex]f(x) = (x + 8)( {x}^{2} - 2x - 3)[/tex]

We expand further to get:

[tex]f(x) = {x}^{3} - 2 {x}^{2} - 3x + 8 {x}^{2} - 16x - 24[/tex]

[tex]f(x) = {x}^{3} + 6 {x}^{2} - 19 - 24[/tex]

The polynomial in descending powers of x is said to be in standard form.

Choose the coordinate pairs that are NOT shown on the graph.

(3, 2)

(−6, 3)

(1, −1)

(−6, −4)

(4, −2)

Answers

Answer:

(3, 2)

(−6, −4)

Step-by-step explanation:

Answer to B pleaseeeeee???????

Answers

Answer:

if i did my math right then the answer is 244

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

Substitute the given values for a and b into the expression

2a² + 5b²

= 2(- 6)² + 5(2)²

= (2 × 36) + (5 × 4)

= 72 + 20

= 92

First you need to replace all of the letter A's with -6 and all of the B's with 2.

The equation would look like this

2(-6)^2+5(2)^2

Second, you solve what in is the parenthesis 2(-6)=-12         5(2)= 10

Third, you rewrite the problem.   -12^2+10^2

Fourth, you need to figure out what the final answer would be.    

-12^2=-144 and 10^2=100

The answer would be -144+100=-44

Sorry!!! This is probably Wrong, I didn't use an algebra calculator or anything to check the answer. I didn't remember if I needed to bring the number in parenthesis to the power before or after multiplying.

This week jake is scheduled to work 11 hours as a cashier and 17 hours as a grocery stocker. What will be the total amount he earns from the two jobs if he works all the scheduled hours?

Answers

Answer:

$305

Step-by-step explanation:

Answer:

A/281.75

Step-by-step explanation:

1st step.

81.00/9=9

129/12=10.75

2nd step

9*11=99

10.75*17=182.75

3rd step

99+182.75=

281.75 or a

hope this helped!!!!

The counting numbers, together with 0, are called the _____ numbers.

Answers

natural numbers. they are also called counting numbers. hope this helps :)

The answer is Whole.

There were two containers of oil. There was twice as much oil in the second container as in the first one. After using 13 liters of oil from the first container and 7 liters from the second one, the second container still had 3 times more oil than the first one. How many liters of oil in total were in both containers originally?

PleASE HELP

Answers

Answer:

There are 96 liters of oil in both containers originally

Step-by-step explanation:

* Lets change the story problem to mathematics equation

- Let the first container had A liters of oil and the second container

 had B liters of oil

- The quantity of oil B in the second container is twice the quantity

  of oil in A in the first container

∴ B = 2A ⇒ (1)

- After using 13 liters from the quantity of oil A in the first container,

 the container had (A - 13) liters

- After using 7 liters from the quantity of oil B in the second container,

 the container had (B - 7) liters

-  After that the quantity of oil in the second container is 3 times

 more oil than the first one

∴ B - 7 = 3(A - 13) ⇒ simplify

∴ B - 7 = 3A - 39 ⇒ add 7 and subtract 3A from both sides

∴ B - 3A = -39 + 7

∴ B - 3A = -32 ⇒ (2)

- Substitute the value of B from (1) into (2)

∴ 2A - 3A = -32

∴ -A = -32 ⇒ × -1

∴ A = 32 liters

- Find the value of B by substitute value of A in (1)

∴ B = 2(32) = 64 liters

- Now find the total liters of oil in both containers

∴ A + B = 32 + 64 = 96 liters

* There are 96 liters of oil in both containers originally

Salary, tips and interest earned are all included in ____.

Answers

Answer:

Gross annual income

Annual income i think lol

I NEED HELP ASAP!! create a line plot to display the data

the table shows the lengths of the different leaves In centimeters

To create a line plot hover over each number on the number line then click and drag up to the plot the data

Answers

7.5 xxx. 8.0 xxx 8.5 xxx 9.0 xxxxx 9.5 xxxx

The London theater offers child tickets at 10$each and adult tickets at 20$ each.Mrs burham buys 34 tickets at a total cost of 570 if C is the number of child tickets and A is the number of adult tickets write the system of equations which represents this situation

Answers

Answer:

A+C=34

10C+20A=570

Solve the following equation. Then place the correct number in the box provided. x/9 = 1

Answers

First, we need to isolate the variable x.

To isolate x, we simply need to multiply both sides by 9, which would result in x = 9

[tex] \frac{x}{9} = 1 \\ \\ 1. \: x = 1 \times 9 \\ \\ 2. \: x = 9[/tex]

Find x I need help don’t really understand it

Answers

you would use sine

sine = opposite side / hypotenuse

and solve for opposite side (x)

so sine of 70*14= which is about 13.146

Check the picture below.

make sure your calculator is in Degree mode.

What is next term in sequence 54,-18,6

Answers

Answer:

-2

Step-by-step explanation:

its a geometric sequence where every term is being divided by -3

Answer:

-2

Step-by-step explanation:

This is a geometric sequence.  We need to find the common ratio

Take the second term and divide by the first

-18/54 = -1/3

Take the third term and divide by the second

-18/6 = -1/3

The common ratio is -1/3

The next term is the third term times the common ratio

6 * -1/3 = -2

The fourth term  is -2

300 children are divided into 2 groups. There are 50 more children in the first group than in the 2nd group. How many children are there in the 2nd group?

Answers

Hei there!

Let's start by letting x be the number of children in the 2nd group. So we can make an equation:

(50+x)+x=300

Next, open parenthesis and combine like terms. Then solve for x.

50+x+x=300

2x=300-50

2x=250

x=125

So, there are 125 kinds in the 2nd group.

Hope I helped, sorry if I'm wrong ouo.

~Potato.

Copyright Potato 2019.

Answer: 125 children

We have an unknown amount of children in the second group, so let us call this x. The number of children in the first class must be x + 50. In other words, the total number of children in both classes would be x + x + 50, which equals to 2x+50, and you have a total of 300 children. Let us start with this equation:

2x + 50 = 300

Subtract 50 from both sides

2x + 50 - 50 = 300 - 50

Simplify

2x = 250

Divide both sides by 2

2x / 2  =  250 / 2

Simplify

x = 125

Again, we said, x is an unknown amount of children in the second group. As you can see, x = 125, so there are 125 children in the second group.

125 + 50 = 175

Since, there are 50 more children in the first group, you would add 50 to 125, and that will give us a total of 175 children in the first group.

Which expression is equivalent?

Answers

[tex]c)x^{2/3}[/tex]

Geometry question :) could use some help

Answers

Answer:

statement A

Step-by-step explanation:

If the ratio

[tex]\frac{QT}{TR}[/tex] = [tex]\frac{QU}{US}[/tex]

then TU is parallel to RS

[tex]\frac{QT}{TR}[/tex] = [tex]\frac{32}{36}[/tex] = [tex]\frac{8}{9}[/tex]

[tex]\frac{QU}{US }[/tex] = [tex]\frac{40}{45}[/tex] = [tex]\frac{8}{9}[/tex]

Since the ratios are equal then line segment TU is parallel to line segment RS

Please help me I need your help please I need your need your help please help me I need your help badly plz help me I need your help I’m on begging you

Answers

____________________________________________________

Answer:

Your answer would be D). Since -2 is to the left of 1, -2 < 1.

____________________________________________________

Step-by-step explanation:

The reason why this would be the correct answer is because it numerically makes sense, and the statement said in the answer choice is correct on the number line.

The numbers that are on the left side of the number line, the negatives, are a lower value than the numbers on the right. To sum it up, the numbers that are more to the left are less value than the ones more to the right.

In the answer choice D, it says, "Since -2 is to the left of 1, -2 < 1."

This is correct because -2 is less than 1, so when you use the the less than sign, it makes sense since -2 is less than 1. To sum it uyp, 1 is greater than -2.

D should be your FINAL answer.

____________________________________________________

Why the other answer choices are incorrect:

The reason why answer choice "A" is incorrect because:

-2 is actually not greater than -1. Remember, The numbers that are more to the right are greater than the numbers on the left. -2 is to the left of -1, which means that -1 would be greater than -2. This statement would be incorrect. This is the reason why this answer choice would be wrong.

The reason why answer choice "B" is incorrect because:

-1 is not equal to 1. -1 is more to the left than 1, and since the negative sign is there, they wouldn't be the same. Even though they have the same number, they don't have the same value. If the equation said 1 =1, it would be true, but that's not the case in this answer choice, which would make it incorrect. This is the reason why this answer choice would be wrong.

The reason why answer choice "C" is incorrect because:

-2 is not  greater than 1/3. -2 is negative, while 1/3 is positive, therefore making the 1/3 greater than -2. In the answer choice, it's saying that -2 is greater than positive 1/3, which is incorrect. This is the reason why this answer choice would be wrong.

____________________________________________________

Answer:

D

Step-by-step explanation:

Other Questions
I need help on this question Sally drives from Turlock to Los Angeles at an average speed of 60 miles per hour. Turlock is approximately 300 miles from Los Angeles. Which of the following graphs could give Sallys approximate distance d, in miles from Los Angeles, in terms of time t,in hours? Why is it important that the Presidents closest advisors are located in the West Wing? A mis amigos les gusta tomar ____ (their) refrescos con limn. voy a elegir la ____ que me ms gustaA cama B programa C temaD mapa PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!from Emmaby Jane AustenEmma Woodhouse, handsome, clever, and rich, with a comfortable home and happy disposition, seemed to unite some of the best blessings of existence; and had lived nearly twenty-one years in the world with very little to distress or vex her.She was the youngest of the two daughters of a most affectionate, indulgent father; and had, in consequence of her sister's marriage, been mistress of his house from a very early period. Her mother had died too long ago for her to have more than an indistinct remembrance of her caresses, and her place had been supplied by an excellent woman as governess, who had fallen little short of a mother in affection.Sixteen years had Miss Taylor been in Mr. Woodhouse's family, less as a governess than a friend, very fond of both daughters, but particularly of Emma. Between them it was more the intimacy of sisters. Even before Miss Taylor had ceased to hold the nominal office of governess, the mildness of her temper had hardly allowed her to impose any restraint; and the shadow of authority being now long passed away, they had been living together as friend and friend very mutually attached, and Emma doing just what she liked; highly esteeming Miss Taylor's judgment, but directed chiefly by her own.The real evils indeed of Emma's situation were the power of having rather too much her own way, and a disposition to think a little too well of herself; these were the disadvantages which threatened alloy to her many enjoyments. The danger, however, was at present so unperceived, that they did not by any means rank as misfortunes with her.Sorrow camea gentle sorrowbut not at all in the shape of any disagreeable consciousness.Miss Taylor married. It was Miss Taylor's loss which first brought grief. It was on the wedding-day of this beloved friend that Emma first sat in mournful thought of any continuance. The wedding over and the bride-people gone, her father and herself were left to dine together, with no prospect of a third to cheer a long evening. Her father composed himself to sleep after dinner, as usual, and she had then only to sit and think of what she had lost.Question 5 (5.26 points) In the future, which of the following is most likely to threaten Emma?Question 5 options:A. her affection for her fatherB. her habit of getting her own wayC. her enjoyment of dinnerD. her friendship with Miss Taylor Which of the following describe the sine function? Check all that apply. Its range is all real numbers. Its period is 2pi.Its maximum is 1. Its domain is all real numbers. Its maximum is 1. There are 136 boys and 184 girls at wood middle school. There are 308 boys and 212 girls at Parker middle school. What is the ratio of students at wood middle school to students at Parker middle school? Find the slope of the line if it exists Which property describes how much energy must be added to an atom to remove an outermost election which type of scientific statement is defined as a statement of fact that is generally accepted to be true and universal because it has always been observed to be true? options: theory, probability, law, hypothesis. What does the slope of a distance vs. time graph indicate about an objects motion? Enlightenment thinkers most contributed to the development of which political idea 7. Which sport or activity would you be most likely to find a participant wearing a mask, chest protector, gloves, and shin guards?BaseballSkateboardingTrack and FieldVolleyball In 2005 astronomers announced the discovery of a large black hole in the galaxy Markarian 766 having clumps of matter orbiting around once every 27 hours and moving at 30,000 km/s.A. How far are these clumps from the center of the black hole?B. What is the mass of this black hole, assuming circular orbits? Express your answer in kilograms and as a multiple of our sun's mass.C. What is the radius of its event horizon? In this excerpt from mark twains how to tell a story which sentence is most clearly the Look at the image, read the prompt and sentences, and choose the option with the sentence written correctly. Jane Burton / Nature Picture Library / Universal Images Group / Image Quest 2018 My uncle's female cats are Perla and Rub. Perla y Rub es bonita. Perla y Rub es bonito. Perla y Rub son bonitos. Perla y Rub son bonitas. janak is 2time younger than his father and 6 time younger than his sister and total age is 118.Find the age of janak. Which of the following best describes computer animation ? What is the answer to (7*x+9)*x+90 Steam Workshop Downloader