how do you know on a right triangle which leg is a or b (Pythagorean Theorem)

How Do You Know On A Right Triangle Which Leg Is A Or B (Pythagorean Theorem)

Answers

Answer 1
The real answer is: it doesn’t matter! a and b are just labels we give to the legs; it doesn’t matter how you pick them, especially since addition is *commutative* (order doesn’t matter). An equality valid way of writing the equation would be:

(leg 1)^2 + (leg 2)^2 = (hypotenuse)^2

But it saves time to just write it as a^2 + b^2 = c^2, where a and b are the lengths of the legs and c is the length of the hypotenuse.

Related Questions

Curtís decided to go On a road trip to Canada. On the first day of his trip, he drove for 11 hours and traveled 693 miles. At what unit rate did he travel on the first day, in miles per hour

Answers

Final answer:

Curtis traveled at an average speed of 63 miles per hour on the first day of his road trip by dividing the total distance traveled, 693 miles, by the number of hours driven, which was 11.

Explanation:

To calculate the unit rate at which Curtis traveled in miles per hour on the first day, we divide the total distance traveled by the total time spent traveling. Curtis drove 693 miles in 11 hours, so the unit rate is 693 miles divided by 11 hours.

The calculation for miles per hour is as follows: 693 miles \/ 11 hours = 63 miles per hour (mph). Thus, Curtis traveled at an average speed of 63 mph on the first day of his road trip.

What is the distance between points (10, 7) and (2, 7) ob a coordinate plane

Answers

the distance is 8 units

Hope this helps!!

Plz tell me if im right

The distance would be 8

Atticus wants to buy of a square yard of wrapping paper. The paper costs $2.40 per square yard. How much will Atticus spend on the wrapping paper?
a.$1.60
b.$4.80
c. $7.20
d. $9.20

Answers

Final answer:

Atticus will spend $4.80 on the wrapping paper.

Explanation:

To find out how much Atticus will spend on the wrapping paper, we need to multiply the cost per square yard by the number of square yards desired.

Given that Atticus wants to buy a square yard, we multiply by to get.

Therefore, Atticus will spend $4.80 on the wrapping paper, which corresponds to option b.

Mayumi hikes 3 miles in 2 hours. Edwin hikes 4 miles in 3 hours. Who takes more time to complete a 12 mile hiking trail? How much more time

Answers

Mayumi takes 8 hours. Edwin takes 9 hours. Edwin takes more time by an hour.

Edwin will take more time to complete a 12-mile hiking trail. By 1 hour.

is the pattern 2, 3, 5, 8, 12 geometric explain why

Answers

no the pattern isn't geometric because successive terms don't share a common difference...
this should be some kinda Fibonacci sequence

You are in line at an amusement park. You count 34 people in front of you. Each roller coaster fits 11 people. How many roller coasters must run before you can get on? Explain.

Answers

2 you will be the last person on the third roller coaster. ( 11 times 3=33 so you will be the last person)

what is the distance bewteen -7 and 41

Answers

To find distance, subtract the largest number from smaller

41 - (-7)

41 + 7 = 48

the distance is 48

hope this helps

Which system of linear inequalities is graphed?



a.
x<−3
{
y≤−x+1

b.
x<−3
{
y≤−x−1
c.
x≤−3
{
y≤−x−3
d.
x<−2
{
y≤−x−1

Answers

First, it is easy to narrow it down to 2 answers. Because there is a dotted vertical line, we know that X < -3 so it is either A or B. Next we look at the Diagonal line. The answer is narrowed down to B. Why? -1 A and B are almost identical, except that if it were answer A, then the diagonal line would intercept at positive 1 on the Y axis.

Use place value to find the product to 40x8= how many tensx8

Answers

4 tens times 8 that is the answr

6x+14x+5=5(4x+1) what is x in this equation

Answers

Infinite many solutions
X is equal to 1 in this equation. 
First add 6x and 14x together. 
20x+5=5(4x+1)
Then distribute the 5
20x+5=20x+5
subtract 5 from both sides 
20x=20x
Divide both sides by 20
x=x

Aaron, Chris, Maria, Sonia, and Ling are on a class committee. They want to choose two members to present their conclusions to the class. How many different groups of two members can they form? a. 12 groups c. 8 groups b. 10 groups d. 15 groups

Answers

The answer is B 5x2 = 10 is how i did it.

1. -2(n-6) 2. (5b-4)1/5 3. 2/3(6y+9) 4. 4t-7t 5. -18v squared + 23v squared 6. 13q-30q

Answers

1. -2n+12;  2. b+4/5;  3. 4y+6;  4. -3t;  5. 5v^2 (^ is symbol for "to the power of");  6. -17q 

What is the length of each side of a cube whose volume is 8? Question 4 options: 1 2 3 4

Answers

the formula would be 1 side to the power of the the ((answer=2)) because {2x2x2=8}

Karolyn is arranging her art project, science project, and math project on her desk. The tree diagram below shows the sample space.

A tree diagram is shown. The first three choices are art, science, and math. From art, one branch is math, science and the other branch is science, math. From science, one branch is art, math and the other branch is math, art. From math, one branch is art, science and the other branch is science, art.

Based on the tree diagram, what is the probability that the science project is first?

Answers:

three over six
four over six
two over six
one over six

Answers

answer would be two over six

Answer:

The correct option is 3.

Step-by-step explanation:

It is given that the Karolyn is arranging her art project, science project, and math project on her desk. The tree diagram below shows the sample space.

According to the tree diagram the elements of sample space are

1. art - math - science

2. art - science - math

3. science - art - math

4. science - math - art

5. math - art - science

6. math - science - art

Total number of possible outcomes is 6.

We need to find the probability that the science project is first. So, the favorable outcomes are

1. science - art - math

2. science - math - art

Total number of favorable outcomes is 2.

The probability of arranging the the science project first is

[tex]P=\frac{\text{Favorable outcomes}}{\text{Total possible outcome}}[/tex]

[tex]P=\frac{2}{6}[/tex]

[tex]P=\frac{1}{2}[/tex]

The probability of arranging the the science project first is 2/6 or it can be written as 1/3. Therefore the correct option is 3.

Describe two reasons for using a variable. Write your response using 4-5 complete sentences.


PLEASE HELP ME

Answers

One reason would be if you did not know the answer so you could do
4-5=x
another reason would be if the problem gave you the answer but not one of the things to get the answer
4-x=-1
not sure if that is what you want but I hope this helped

Write 0.45 as a fraction in simplest form

Answers

first you need to set up your decimal as a fraction

45                                  9
----   divided by 5       ------
100                               20

9/20 is your answer
Final answer:

To write 0.45 as a fraction, express it as 45/100 then divide by the greatest common divisor, which is 5, to get 9/20 in simplest form.

Explanation:

To write 0.45 as a fraction in simplest form, we can start by recognizing that 0.45 means 45 hundredths, which is the same as 45 over 100. This can be written as:



\\[0.45 = \frac{45}{100}\\]



To simplify the fraction, we look for the greatest common divisor (GCD) that both the numerator (45) and the denominator (100) share. In this case, the GCD is 5. To get a fraction in simplest form, we divide both numerator and denominator by this number:



\\[\frac{45 \div 5}{100 \div 5} = \frac{9}{20}\\]



So, the fraction in simplest form of 0.45 is \(\frac{9}{20}\).

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what number is one thousand less than 921,438, explain how u know.

Answers

because 1 is less than 9 so of course 921,438 is greater than 1,000

The number one thousand less than 921,438 is 920,438.

Here's how we know:

Subtracting 1,000:

We want to find a number that is 1,000 less than 921,438. Subtracting 1,000 from 921,438 will give us the desired number.

921,438 - 1,000 = 920,438

Therefore, 920,438 is one thousand less than 921,438.

The explanation is as given:

We can think in terms of place values:

921,438 has a 1 in the thousands place.

Subtracting 1,000 (which has a 1 in the thousands place and zeros elsewhere) only affects the thousands place of 921,438.

The difference in the thousands place becomes 0(1 - 1), resulting in 920,438.

A traveler drove 65 mi on the first day and drove at an average speed of 70 mph for t hours on the second day. Which expressions represents the total distance traveled for both days?
A. 70 - 65t
B. 65-70t
C. 70+65t
D. 65+70t

Answers

the answer is d. 65+70t

What is 1.5 to the third power?

How do you do exponents with decimals?

Please explain

Answers

Final answer:

Calculating 1.5 to the third power involves multiplying the number by itself two additional times, which equals 3.375. This process of handling exponents applies to decimals just as it does for whole numbers, although additional rules apply when dealing with scientific notation involving powers of 10.

Explanation:

The question asks about calculating the value of 1.5 to the third power. To do exponents with decimals, the same rules apply as with whole numbers. We multiply the decimal number by itself for the number of times indicated by the exponent. Cubing, or raising a number to the third power, means multiplying the number by itself twice more (a total of three times).

Here's how it is done step by step for 1.5 to the third power (1.5³)

First multiplication: 1.5 × 1.5 = 2.25Second multiplication: 2.25 × 1.5 = 3.375

So, 1.5 to the third power equals 3.375.

If we are working with an exponent that includes a power of 10, such as 10², this indicates that the decimal is shifted two places to the right, making 1 × 10² equal to 100. However, in our case with 1.5³, we simply perform the multiplications as shown above without the need to shift the decimal place.

Another consideration in handling exponents with decimals is the application of rules for multiplying exponentiated quantities and shifting the decimal point based on the power of 10. This is particularly useful when dealing with scientific notation, which expresses large or small numbers in a more manageable format.

Given ABCDEF ≅ GHIJKL . What is the measure of ∠K ? Enter your answer in the box. ​ m∠K ​ = blank °

Answers

≅ means that both have the same values, therefore, m<K=114°

Hello!  Let me help!

Answer: 114

Step-by-step explanation: So, I gave you an answer, but how is it right?  If you see between ABCDEF and GHIJKL there is ≅.  That means congruent, and or equal (identical.)  

So, looking at ABCDEF, the fifth letter is E.  Then look at the other one, the fifth one is K. Which, K is what we're trying to figure out. Well, if the angles are congruent all letters are equal to the other letters.  So, Look for E on the left-hand shape.  WOAH! What does it show over top of the letter?! Oh! It's 114.  Which means.

The answer means E ≅ K. Which also means.  E ≅ 114. and!  114≅K.

Congrulations for understanding how to do this!


Johnny makes $5.75 per hour at his work if he work six hours how much money will he earn

Answers

Johnny will earn $32.50
Johnny will make $34.50
5.75( 6 ) = 34.5

please explain how to get the answer

Answers

q must be positive in F.

F. r squared will be positive, because any number times itself is positive, and to get a positive number for the answer, the two numbers you multiply need to be the same sign. If r squared is positive, q must be too. 

G. q does not have to be positive. If r is a negative number, then q can be negative. Say q=-2 and r=-3. -2-(-3) changes to -2+3, which equals 1.

H. Again, q can be negative if r is negative (two negative numbers multiplied together equals a positive answer.

J. q can be negative because even a negative number turns positive when squared.

Hope this helped you. :)

the melting point of mercury is -36 Fahrenheit and its boiling point is 672 Fahrenheit what is the difference between these two temperatures

Answers

Answer:

708 Fahrenheit

Step-by-step explanation:

672 + 36 = 708

You add the 36 because it is a negative number and since you are trying to find the difference, for every negative number you have to add 1.

Final answer:

The difference between the melting and boiling points of mercury, -36 Fahrenheit and 672 Fahrenheit respectively, is 708 degrees Fahrenheit.

Explanation:

To find the difference between two temperatures, you simply subtract the lower temperature from the higher temperature. In this case, we have the boiling point of mercury at 672 degrees Fahrenheit and the melting point at -36 degrees Fahrenheit. So, we subtract -36 from 672 as follows:

672 - (-36) = 708 Fahrenheit.

The difference in temperature between the boiling and melting points of mercury is 708 degrees Fahrenheit.

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is the product of 7 negative numbers and 8 positive numbers a positive number or a negative number

Answers

Product means to multiply so the product of 7 negative numbers and 8 positive numbers is going to be negative!
Final answer:

The product of 7 negative numbers and eight positive numbers will be harmful. This is because the result of multiplying an odd number of negative numbers is negative. The outcome remains negative when this negative number is multiplied by positive numbers.

Explanation:

The result of multiplying even numbers of negative numbers will be positive while multiplying odd numbers of negative numbers will be negative. In this case, as there are seven negative numbers, the multiplied result of these seven will be negative. However, when you multiply this negative number by eight positive numbers, the final impact will be negative since any number (except 0), when multiplied by a negative number, results in a negative number. So, the product of 7 negative numbers and eight positive numbers will be negative.

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Christina combined 18 ice cubes with 4 cups of fruit. how many ice cubes does Christina use per cup of Fruit?

Answers

18 / 4 = 4.5 ice cubes per cup 

solving equations with variables on both sides

Answers

-x = -4x + 13
3x = 13
x = 13/3

hope this helps . give brainliest
-x = -4x + 13

-x + 4x = 13

3x = 13

x = 13/3

Which number is an irrational number? A)3.5 B) 36 C)48 D) 37/100

Answers

That would be 3.5 b/c it can’t be expressed as a ratio or a simple fraction

Answer:

None of them

Step-by-step explanation:

We have to find the irrational number

Rational number:

The number which can be expressed in [tex]\frac{p}{q}[/tex] form  are called rational number,where [tex]q\neq 0[/tex],p and q are integers are

Irrational number:

The number which can not be expressed in [tex]\frac{p}{q}[/tex] form  are called irrational number.

A)3.5

It can be written as

[tex]\frac{35}{10}[/tex]

Where 35 and 10 are both integers number

By definition of rational number

3.5 is a rational number

B)36

[tex]\frac{36}{1}[/tex]

36 and 1 are both integers number

By definition of rational number

36  is a rational number

C)48

[tex]\frac{48}{1}[/tex]

48 and 1 are both integers number

By definition of rational number

48  is a rational number

D)[tex]\frac{37}{100}[/tex]

37 and 100 are both integers number

By definition of rational number

[tex]\frac{37}{100}[/tex]  is a rational number

During a football game, the visiting team was given 4 penalties for 15 yards each. What was the change in the visiting team’s field position due to these penalties?

Answers

They lost 60 yards worth of penalties

Answer:-60

Step-by-step explanation:

They lost 60 yards due to penalties.

= -60

Which number has the greatest value

Answers

85.0 because it is the greatest.
Hope this helped and if you please, marl as brainliest ^^
The answer is B which is 85.0

1. Use both methods to find the distance between the points on the number line.

Method A: Count the number of units between the points.

Method B: Take the absolute value of the difference of the two numbers.

When taking the absolute value, show that the greater number or the lesser number can be the subtrahend (the number subtracted).

Answers

method B is correct take the absolute value of the difference of the two numbers.
Final answer:

To find the distance between two points on the number line, we can use two methods. The first is by counting the number of units between the two points, and the second is by taking the absolute value of the difference of the two points. Both methods lead to the same result.

Explanation:

We will use two methods to find the distance between two points on a number line.

Method A: This involves simply counting the number of units between the two points. For example, if the points are 3 and 8 on the number line, you count the units between these points: 4, 5, 6, and 7. Thus, there are four units between the points 3 and 8.Method B: This method involves taking the absolute value of the difference of the two numbers. In the same example, to find the distance between 3 and 8, first subtract one from the other (e.g., 8 - 3 or 3 - 8). You get 5 or -5. Then take the absolute value of these numbers, which makes negative numbers positive, and therefore both 5 and -5 become 5. So the distance between the points 3 and 8 is 5.

From both methods, we can see that the distance between the two points on the number line, whether you count the units or take the absolute value of their difference, is the same.

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