Mathematics Middle School

how do you solve for missing leg of the Pythagorean theorem

Answers

Answer 1
if you are solving for the hypotenuse, use
a² + b² = c²

if you are solving for a side, use
c² - a² = b²

hypotenuse = c
other sides = a, b


hope this helps

Related Questions

how can you tell that a line segment connecting two points is vertical without graphing the points

Answers

They are intersecting lines if they are not parallel so the other option is that they are intersecting.

A line segment connecting two points is vertical without graphing the points are intersecting lines if they are not parallel.

What is a line segment?

A line segment is a straight line with finite length, and thus, have to endpoints(points on either ends).

For the Parallel lines, it must have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.

Since the given parallel line has equation y = 5x + 2, thus its slope is 5 and thus, the slope of the needed line is 2 too.

They are intersecting lines if they are not parallel. therefore, the other option is that they are intersecting.

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What is the answer to
5y + 4 = 3y + 6

Answers

the answer would be y=1
The answer would be y=9

twice the difference of a number and 3

Answers

Twice the difference of a number and 3 will be as follows:

2x - 3

How to express words into an equation?

The statement says "twice the difference of a number and 3".

Let

the number  = x

Therefore,

twice the number = 2x

Finally, twice the difference of a number and 3 will be as follows:

2x - 3

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5. A map of Texas has the following scale.
1 cm = 50 km
The distance from Austin to Dallas measures 6 centimeters on the map. What is the actual distance ?
(1 point)
56 km
156 km
300 km
600 km

Answers

300km because if 1cm=50km And it’s 6cm you have to do 50*6 to get C. 300km

Answer; 300km .

Because 50x6 is 300.

What is the answer to this problem?

Answers

0.4 is 10 times as much as 0.04 and 0.1 is 10 times as much as 0.01 and 1/10 of 1
0.9 is 10 times as much as 0.09 and 1/10 of 9

(10 points! Woah!)

Cindy joined a music club.
~During the first year she paid a $25 membership fee and got CDs for $5 each.
~During the second year the membership fee increased to $35, but the price of individual CDs
remained the same.

Cindy graphed two functions, showing the total cost of buying x, CDs in each of the two years.

Which statement is true of the graphs for year 1 and year 2?
Question 4 options:

The graphs for year 1 and year 2 have opposite slopes.

The graphs for year 1 and year 2 have the same slope.

The graph for year 1 is steeper than the graph for year 2.

The graph for year 2 is steeper than the graph for year 1.
Save

Answers

The graphs for year 1 and year 2 have the same slope.

Answer:

The graphs for year 1 and year 2 have the same slope.

Step-by-step explanation:

How do you put the sentence "5 thumb drives have 9 gigabytes more capacity than 1 compact disk." into a linear equation?

Answers

Well, we should first decide on our variables. Let's replace "thumb drives" with the letter "t", and "compact disk" with the letter "c".

Now, to understand the sentence. "5 thumb drives have 9 gigabytes more capacity than 1 compact disk." So, what does that mean? Well, if a compact disk has 10 gigabytes of capacity, then I suppose 5 thumb drives would have 19 gigabytes of capacity all together. So, we're just adding +9.

Alright, so as a linear equation:
"5 thumb drives have 9 gigabytes more capacity than 1 compact disk"
5t = c + 9

at a concession stand, five hotdogs and two hamburgers cost $11.50; two hot dogs and five hamburgers cost $13.00. find the cost of one hot dog and the cost of one hamburger.

Answers

let x=cost of one hot dog
let y=cost of one hamburger

5x+4y=13
4x+5y=14

20x+16y=52
20x+25y=70
subtract
-9y=-18
y=2
4x=14-5y=14-10=4
4x=4
x=1
cost of one hot dog=$1.00
cost of one hamburger=$2.00

Will mark Branliest Plz help

Answers

1 and 9/10, the other one I don't know sorry. The words...
A. (-1.6) - (0.3)
B. 1.9

Julia has been saving money for a new Tv. The Tv normally costs $340 but is on sale for 30% off. How much money does Julia need to buy the tv?

Answers

There are two ways that this can be done. 
 You could find 30% of the original value and subtract that from the original value:

340*0.3=102
340-102=238

OR

You can multiply the original cost by 70% (100%-30%)
340*0.7=238

But either way the amount Julia will need to pay is $238

The temperature is 1 degrees Fahrenheit at dusk it is8 degrees colder at dawn what is the temperature at dawn ??

Answers

Well 1-8=-7. So -7 because Dusk is +1, Dawn is -8
I believe -7 degrees... I hope that's right :)

Rebecca is at the zoo with her family. She sees 3 times as many elephants as cheetahs. There are 4 cheetahs. How many animals did she see all together?

Answers

Hello!

There are 4 cheetahs. There are 3 times as many elephants than cheetahs. Multiply:

4 • 3 = 12

12 + 4 = 16

Rebecca saw 16 animals at the zoo.

I really hope you found this helpful! :)

Ava is 9 years old. Rose is 11 time as old as ava. How old is rose?

Answers

99 years old due to multiplying 9 x 11

99! Since eleven times nine equals 99.

For which pairs of functions is (fOg)=12x

Answers

g(x) = 3x 
f(x) = 4x

hope this helps!

plz mark me brainiest!

The Scale on a map is 1 inch equals 5 feet what is the distance between two points on the map that are 8 1/2 inches apart on the map?

Answers

The answer would be 510 feet
42 1/2 feet. You multiply 8 1/2 by 5. 

On the first day of the year, you have $700 in your bank account. You spend $35 per week. Your friend starts the year with $450 in his bank account. He saves $15 per week.

Solve the equation 700 – 35w = 450 + 15w to find out how many weeks, w, it will take for you and your friend have the same amount of money in your accounts.

Answers

A number of weeks are 5.
So this is just a basic algebra equation where we need to solve for an unknown variable.

First we should put all the w's on one side and regular numbers on the other, so:

250  =  50w

If we divide by 50 on both sides, we get:

w  =  5

It will take 5 weeks for you and your friend to have the same amount of money in your back accounts.

The twenty-six coins are all dollars and quarters, and they add up to seventeen dollars in value. How many dollars and how many quarters are there?

Answers

Answer:

Step-by-step explanation:

12 dollars

and 14 dollar coins

Answer: 12 quarters and 14 dollars

Step-by-step explanation:

Kaleb rode his bike at a rate of 10 mph for 2 hours. How far did he ride?



16 miles


20 miles


30 miles


36 miles

Answers

20 miles! :)


Good luck! Please make me brainliest if I was correct!
20 miles long i️ hope this helped you outbudyyyyyy!!!!!!!!

Which set of data could be used for the box-and-whisker plot shown below?




27, 35, 35, 32, 24, 34, 36, 27, 38
27, 35, 35, 32, 26, 32, 36, 27, 38
27, 35, 35, 32, 25, 34, 36, 27, 38
27, 35, 35, 32, 26, 34, 36, 27, 38

Answers

It would be the last set of data. You can tell this because when put in ascending order, 26 is the minimum and 38 is the maximum. Here, you find the median and then to find the first quartile and third quartile points, you find the median of the first half and the second half.

Q1= the half point between the minimum and the median

Q3= the half point between the median and the maximum.

By doing this, it should match up to the box and whisker plot

The dataset that can be used for box-and-whisker plot is 27, 35, 35, 32, 26, 34, 36, 27, 38.

What is the data set?

A box plot is used to study the distribution and level of a set of scores. The whiskers represent the minimum value and the maximum value.

On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile.

Minimum value = 26

Maximum value = 38

Q1 = 27

Median = 34

Q3 = 35

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What is the first step you will use to solve this equation:

4x +2 = 7x - 13


Add 7x to both sides


Add 13 to both sides


Subtract 4x from both sides


Subtract 2 from both sides

Answers

subtract 4x from both sides

4x +2 = 7x - 13 would then simplify to

3x - 13 = 2 ( you can switch the problem around as long as you dont switch the variables around )

then you have to + 13 which simplifies to

3x = 15

then you divide by 3 which equals

x=5

The ratio of pens to pencils in Mrs. Bosworth's desk is 4:1. What does this mean?

Answers

If there are 4 pens there will be 1 pencil, if there is 1 pencil there will be 4 pens
If the ratio is factored to a number, let's say 3, then there will be 12 pens for every 3 pencils

What is 1,334 divided by 23? A) 53 B) 56 C) 57 D) 58


The answer is D 58





Answers

D is the answer?
Hope it helped!
Here is your answer:

1,334÷23=58

Your answer is
=58 (or D)

As Mars revolves around the sun, it travels at a speed of approximately
15
miles per second. Convert this speed to miles per minute. At this speed, how many miles will Mars travel in
4
minutes? Do not round your answers.

Answers

Step 1: Multiply 15 and 60 that equals 900
Step 2: Now multiply 900 by 4 and that equals 3,600

So, Mars revolves around the sun 900 miles per minute. In four minutes mars would have traveled 3,600 miles every 4 minutes.

Final answer:

To convert Mars' speed from 15 miles per second to miles per minute, multiply by 60 to get 900 miles per minute. Multiplying this by 4 gives the distance Mars will travel in 4 minutes, which is 3600 miles.

Explanation:

As Mars revolves around the sun, it travels at a speed of approximately 15 miles per second. To convert this speed to miles per minute, you simply multiply by the number of seconds in a minute:

15 miles/second × 60 seconds/minute = 900 miles per minute.

At this speed, to find out how many miles Mars will travel in 4 minutes, you multiply Mars' speed in miles per minute by the number of minutes:

900 miles/minute × 4 minutes = 3600 miles.

Therefore, Mars will travel 3600 miles in 4 minutes at the speed of 15 miles per second.

A computer sells for $430 which is 75% reduction of the original price. What is the original price of the computer?

Answers

Divide 430 by 75 to get 1% of the price.
430 / 75 = 5.733333...
Multiply that answer by 100 to get the original price.
5.73333... x 100 = 573.3333...
That will be your answer.

To double check your work, you can multiply 573.333... by 75 to see if the number in the problem (which was 75% of the original price) matches.
573.3333... x 75 = 430.

Hope that helped! :)

Find the measure of ∠G.

Answers

It is d I think I'm pretty sure plz give me the brainless answer plz I need it badly

the zeros of the functions f(x) = 3x^2 - 3x - 6

Answers

The answer is: x = 2 ∨ x = -1

Write a division story problem with 53 as the divisor and 2491 as the dividend

Answers

Liliana's house is 2,491 feet. There are 53 rooms in it. How many feet are in each room?

combining like terms

simplify the expression
-r - 10r

Answers

-r-10r

 -r is = to -1r

 so you have -1r - 10r

 which simplifies to -11r

Why do u think rates are usually written as unit rates

Answers

it simplifies it down to how many this happens in that if you know what i mean. like miles per hour. if a car drove 300 miles in 5 hours thats the rate. 300 to 5.. to simplify, divide 300 by 5. so youd know you were going 60 mph, and thats why unit rates are imprortant. do not copy this answer, change the words around a little bit

The rate usually written for the amount of things is changing in one unit.

What is the rate?

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

A rate in mathematics is the comparison of two related values expressed in different units. The numerator of the ratio indicates the rate of change in the other (dependent) factor if the base of the ratio is written as a cohesive block of one of these variables, and if it is assumed that this quantity may be modified systematically (i.e., is an independent variable).

The rate usually written for the amount of units anything in one unit of something.

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Ribbon ones are made from strips of ribbon tied to sticks Connie has 84 feet of red ribbon 48 feet of blue ribbon and 72 feet of white ribbon she wants to cut the ribbon into equal links that are as long as possible so that no ribbon is wasted

Answers

red: 7 12-foot pieces
blue: 4 12-foot pieces
white: 6 12-foot pieces
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