Mathematics Middle School

The given lengths are two sides of a right triangle. All three side lengths of the triangle are integers, and together they form a Pythagorean triple. Find the length of the third side, then indicate whether it is a leg or a hypotenuse.

75, 85

A.
40, leg
B.
78, leg
C.
81, leg
D.
113, hypotenuse

Answers

Answer 1

Answer:

A.

Step-by-step explanation:

75^2=5625

85^2=7225

7225-5625=1600

[tex]\sqrt{1600}[/tex]=40

Answer 2
pythagorean theorem: a^2 + b^2 = c^2

75^2 + 85^2 = c^2
5625 + 7225 = c^2
12850 = c^2

take the square root of both sides

c ≈ 113

and it would be the hypotenuse since it is the largest side! hope this helps

Related Questions

Sophie had a 15% off coupon for the book store. The original price of
the book she bought was $14.99. Calculate the discount. What was the sale price?

Answers

｡ₓ ू ₒ ु ˚ Your answer would be 12.75! ˚ ू ₒ ु ₓ｡

⭒❃.✮:▹ Considering 15% of 14.99 is 2.24, we would need to subtract that amount from 14.99.

14.99 - 2.24 = 12.75. ◃:✮.❃⭒

Hope this helps! ♡

The selling price of the book will be equal to $12.74.

What is the percentage?

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that Sophie had a 15% off coupon for the book store. The original price of the book she bought was $14.99.

The selling price will be calculated as,

Selling price = 14.99 x ( 100 - 15)%

Selling price = 14.99 x ( 85 / 100 )

Selling price = 14.99 x 0.85

Selling price = $12.74

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Pleaseee helpppp Please!!!

Answers

All you have to do is convert the boxed ones into positive because anything between |x| is always positive! It can’t be negative. That’s the rule.

Answer:

30:18

31:0

32:25

33:2+13=15

34:20-17=3

35:16-5=11

Step-by-step explanation:

Q: The data set, {85, 70, 91, 73}, represents Connie's test scores for the first four tests of the semester. Connie scored an 75 on the fifth test.

What impact does the 75 have on the mean test score?

Select from the drop-down menu to correctly complete the statement.

The 75 caused the mean test score to (A. Decrease B. Increase C. Stay The same)
THANKSSS! Have a great rest of your day!

Answers

Answer:

A. decrease

Step-by-step explanation:

The mean average number without the fifth test is 79.75 so her score went down. Hope this helped!

Answer:

A. Decrease

Step-by-step explanation:

Have a fantastic day :)

Help me with this math question about this expression

Answers

divide 4 with -0.5 to get
-10 -6 -8(-2)
then multiply -8 and -2 to get
-10-6+16
then add -10 and -6 to get you to
-16+16
=0

Put the operations to simplify the expression in the correct order.

82 +(5⋅9−15) −70 what do I do first.

Answers

Answer:

42

Step-by-step explanation:

First multiply 5*9=45

Next subtract 15=30

Then Add 82 to 30=112

Last subtract 70 from 112=42

SO you get 42

question as attached screenshot

Answers

Answer:

m= -2 c= -1

Step-by-step explanation:

2x+3y+1=0

3y= -2x-1

3 1/2 x 2 1/2 as a mixed number in simplest form. if correct you get brainliest

Answers

Answer:

8 3/ 4

Step-by-step explanation:

3 1/ 2

×  

2 1 /2

=      

7 × 5

2 × 2

=  

35 /4

=  

8 3 /4

Answer:

Answer vary :

8 3/4

Step-by-step explanation:

honestly in my opinion that’s the right answer.

1. turn 3 1/2 into a improper fraction = 7/2

2. turn 2 1/2 into a improper fraction = 5/2

3. now multiply both

- 7/2 times 5/2 = 8 3/4

thats how I came to that solution.

Please answer fast and clear! thanks! ;)
Match each equation to a story. (Two of the stories match the same equation.)

A. Jada’s teacher fills a travel bag with 5 copies of a textbook. The weight of the bag and books is 17 pounds. The empty travel bag weighs 3 pounds. How much does each book weigh?

B. A piece of scenery for the school play is in the shape of a 5-foot-long rectangle. The designer decides to increase the length. There will be 3 identical rectangles with a total length of 17 feet. By how much did the designer increase the length of each rectangle?

C. Elena spends $17 and buys a $3 book and a bookmark for each of her 5 cousins. How much does each bookmark cost?

D. Noah packs up bags at the food pantry to deliver to families. He packs 5 bags that weigh a total of 17 pounds. Each bag contains 3 pounds of groceries and a packet of papers with health-related information. How much does each packet of papers weigh?

E. Andre has 3 times as many pencils as Noah and 5 pens. He has 17 pens and pencils all together. How many pencils does Noah have?

Answers

Answer:

Step-by-step explanation:

A school ordered 3 large boxes of board markers. After giving 15 markers to each of 3 teachers, there were 90 markers left. The diagram represents the situation. How many markers were originally in each box?

Tape diagram. Three equal parts labeled, x minus 15, total 90.

 

(From Grade7, Unit 6, Lesson 2.)

Problem 2

The diagram can be represented by the equation . Explain where you can see the 6 in the diagram.

Tape diagram, 1 part labeled 2, 6 parts labeled x, total 25.

(From Grade7, Unit 6, Lesson 3.)

Problem 3

Match each equation to a story. (Two of the stories match the same equation.)

Jada’s teacher fills a travel bag with 5 copies of a textbook. The weight of the bag and books is 17 pounds. The empty travel bag weighs 3 pounds. How much does each book weigh?

A piece of scenery for the school play is in the shape of a 5-foot-long rectangle. The designer decides to increase the length. There will be 3 identical rectangles with a total length of 17 feet. By how much did the designer increase the length of each rectangle?

Elena spends $17 and buys a $3 book and a bookmark for each of her 5 cousins. How much does each bookmark cost?

Noah packs up bags at the food pantry to deliver to families. He packs 5 bags that weigh a total of 17 pounds. Each bag contains 3 pounds of groceries and a packet of papers with health-related information. How much does each packet of papers weigh?

Andre has 3 times as many pencils as Noah and 5 pens. He has 17 pens and pencils all together. How many pencils does Noah have?

Problem 4

Elena walked 20 minutes more than Lin. Jada walked twice as long as Elena. Jada walked for 90 minutes. The equation  describes this situation. Match each expression with the statement in the story with the expression it represents.

A:

B:

C:

D:

90

1:

The number of minutes that Jada walked

2:

The number of minutes that Elena walked

3:

The number of minutes that Lin walked

A _____________ ratio in any proportional relationship.

Answers

Answer:

a proportional relationship is look at the different values that the variables take on when one variable is one value, and then what is the And then take the ratio between them. and you see y to x, or y divided by x-- the ratio of y to x

If all the ratios are equal, then the relationship is proportional. If all the ratios are not equal, then the relationship is not proportional.

Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.

We have to get ratio of the two quantities for all the given values. If all the ratios are equal, then the relationship is proportional. If all the ratios are not equal, then the relationship is not proportional.

Writing an Equation to Represent a Proportional Relationship. An expression of equality of ratios is called a proportion. The proportion expressing the equality of the ratios A:B and C:D is written A:B = C:D or A:B::C:D. A is to B as C is to D.

Step-by-step explanation:

Proportions are the same ratios written in different forms. A proportional relationship is states that they are the same. For example, 1/2 and 6/12 have a proportional relationship, which means they are the same.

HELP ME WITH MY MATH ( two questions)

Answers

Answer:

Given the points A, B, C, D, calculate:

(a) the angle B of the triangle ABC

(b) the area of the triangle ABC

(c) the median BE of the triangle ABC

(d) the height AH of the triangle ABC

(e) the volume of tetrahedron ABCD

(f) the point E so that ABCE is a parallelogram.

A(-1, 2, -3), B(4, -1, 0), C(2, 1, -2), D( 3,4,5)​

Step-by-step explanation:

Why is 90 the sum of all factors of 40, including 40? The factors of the number 40 are: 1, 2, 4, 5, 8, 10, 20, 40. If you add them up, you will get the total of 90.

4/9 x 6 as a fraction in simplest form

Answers

Answer:

8/3

Step-by-step explanation:

4/9 * 6

=> 4/9 * 6/1

=> 4*6 / 9*1

=> 24/9

=> 8/3

This is the simplest form is - 8/3

I hope my answer helped. Please mark me as the brainliest!!

The simplest form of the given fraction  is 8/3

What is a fraction?

A fraction is a part of a whole number, and a way to split up a number into equal parts.

Given that, 4/9x6

4/9*6 = 4/9 * 6/1

= 4*6 / 9*1

= 24/9

= 8/3

Hence, the simplest form, is 8/3

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What is the solution for -10 < x - 9?

x > -19
x < -19
x > -1
x < -1

Answers

Answer:

Step-by-step explanation:

-10 < x - 9

Bringing like terms on one side

-10 + 9 < x

-1 < x

x > - 1

Option C is the correct answer

C I think so I hope this helps

If m=3 and b=6 what is the Correct slope intercept equation

A y=3x-6
B= y=6x+3
y= 3-6
y=3x+6

Answers

Answer:

y=3x+6

Step-by-step explanation:

the slope intercept form is y=mx+b
so y=3x+6

Please help!!!!!!!!????!!

Answers

Answer:

A. 4 m

Step-by-step explanation:

Cylinder volume:

V = πr²h

Substitute values and solve for r:

96π = πr²(6)16 = r²r = √16r = 4 m
It’s hard to keep to keep my cool

does anyone know which one it is thx

Answers

Answer:

1/3x+85/3

Step-by-step explanation:

1/3x + 28 1/3 is the answer

help me with this if you know this

Answers

Answer:

J=94x

Step-by-step explanation:

Please mark brainliest.

Answer:

J. y = 94x

Step-by-step explanation:

You need to divide 470 by 5

I really need help mad for it to be correct!!!!

Answers

Answer:

0.2

Step-by-step explanation:

I hope it helps, I did the math!

Hello again davetriona12! I can help you.

We have 2.99, 3.19, 3.39, and 3.79

In order to solve this, we need to find out how much is being added every time. To do this, we will subtract 2.99 from 3.19 which gives us 0.20

So each time, 0.20 gets added.

Now that we have that information, we are ready to find the blanks.

For the first blank, we will subtract 2.99 - 0.20 which will give you 2.79

For the second blank, we will add 0.20 to 3.39 which will give you 3.59

Hope this helps you!

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Mandy is trying to subtract 6 − 16, and she has asked you for help. How would you explain the process of solving the problem to Mandy, using a number line?

Answers

Answer:

10

Step-by-step explanation:

write the numbers 1-16 on a number line

then start at 16 and go back 6

then Mandy will get her answer

the answer is 10 .
1. 1-16
2.left or back
3. what are the options?
4.10

Pls help it is due today

Answers

Answer:

20

Step-by-step explanation:

10 * 2 = 20

Answer:

the input would be 20

Step-by-step explanation:

It is dividing by 2 to get the output so if you need the input, you would multiply by 2

10 times 2 would be 20

Select all the expressions that are equivalent to 4 − x.
x - 4
4 + -x
-x + 4
-4 + x
4 + x

Answers

I think the answer is 4 + -x and -4 + x

Sorry if I’m wrong, but hope this helps :)

The equivalent expressions are [tex]4+(-x)[/tex] and [tex]-x+4[/tex]. So, the correct options are B and C.

Important information:

The given expression is [tex]4-x[/tex].Equivalent Expression:

The given expression can be written as:

[tex]4-x=4+(-x)[/tex]

[tex]4-x=-x+4[/tex]

The given expression cannot be written as [tex]x-4,-4+x,4+x[/tex].

Therefore, the correct options are B and C.

Find out more about 'Equivalent Expression' here:

https://brainly.com/question/10628562

please help me with this for brainliest

Answers

Answer: 66 - 12 + 66 = 120

Step-by-step explanation:

Please answer by 4:00 P.M. (Central Standard Time)

I will give brainliest and five stars!!!

PLZ HELP!!!

Answers

Answer:

its J i think sorry if im wrong

Step-by-step explanation:

Answer:

I believe that your answer should be G

Step-by-step explanation:

have a great day!

Help Me please this is due soon

Answers

Answer:

D

Step-by-step explanation:

dark chocolate takes longer to melt than white chocolate.

the consistency might be the same.. this is one I think.

Zach solves the system below and finds the solution (5, −6)

Answers

Answer:

The answer would be: (5, −6) = -1

Step-by-step explanation:

-1     <------- thats the answer :)

HELPP!!! is it yes or no

Answers

Answer:

no

Step-by-step explanation:

8 + 6 doesn't equal 2

No it’s is not.
8+6=14 not 2

Please Help!
Solve this system of equations

{ 1/2x+6y+2
y=x+15

Answers

I dont know of you wanted the graph too so here

everything is in the pictures here, also sorry if I am wrong

Two Step Inequality Math problems

Answers

Answer:

.

Step-by-step explanation:

A language arts test is worth 100 points. There are a total of 26 questions. The spelling questions are worth 2 pts and vocab is worth 5 pts. How many of each type of question is there?

Answers

Answers: 10 Spelling and 16 Vocabulary

Step-by-step explanation: This is the correct answer because

16 x 5 = 80

10 x 2 = 20

80 + 20 = 100

Find the constant of proportionality for each graph. Write your answer as y-kx.

Answers

Answer:

1. y=5x

2. y=9x

3.y=2x

4.y=3x

Can someone plz help me with this one problem!!!! I’m being timed

Answers

Answer:

Yes

Step-by-step explanation:

You just input the coords into the equation:

7 = 9(0) + 7

7 = 7

Hope this helped :)

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