If a² + b² = c², then which of the following are also true? Select all that apply

Options
a² - b² = c²
b² + a² = c²
c² + a² = b²
c² - a² = b²
c² - b² = a²

answer/explanation:

hope this helps

Answer:

The store calls and asks every 4th person who bought a television within the past year whether he or she likes it.

It is biased because opinion was shared..

Given :

⠀

To Find :

⠀

Solution :

Let us assume the length as 10x m and breadth as 3x m .

⠀

We know that,

\({ \longrightarrow{\quad \sf \pmb{ Length \times Breadth = Area_{(rectangle)}}} }\)

⠀

Now, substituting the values in the formula :

\({ \longrightarrow{\quad \sf{ 10x \times 3x = 27000 }}} \)

\({ \longrightarrow{\quad \sf{ 30 {x}^{2} = 27000 }}} \)

\({ \longrightarrow{\quad \sf{ {x}^{2} = \dfrac{27000}{30} }}} \)

\({ \longrightarrow{\quad \sf{ {x}^{2} = 900 }}} \)

\({ \longrightarrow{\quad \sf{ {x}= \sqrt{900} }}} \)

\({ \longrightarrow{\quad \bf{ {x}= 30 }}} \)

⠀

Therefore,

⠀

Now,

We know that,

\({ \longrightarrow{\quad \sf \pmb{Perimeter_{(rectangle)}=2(Length + Breadth) }} }\)

⠀

Substituting the values in the formula :

\({ \longrightarrow{\quad \sf {Perimeter_{(rectangle)}=2(300 + 90) }} }\)

\({ \longrightarrow{\quad \sf {Perimeter_{(rectangle)}=2(390) }} }\)

\({ \longrightarrow{\quad \bf \pmb {Perimeter_{(rectangle)}=780 }} }\)

⠀

Therefore,

The perimeter of the rectangle whose area is 27000 m² is 780 m.

The perimeter of a rectangle is the determinating of all the sides of the rectangle. In the given question, we have the following parameters:

Given that:

It implies that, if the length is 10x, the breadth is 3x

The area of a rectangle = length × breath

27000 m² = (10x) × (3x)

27000 m² = 30x²

x² = 27000/30

x² = 900

x = √900

x = 30

Now, we can say that:

The perimeter of the rectangle = 2(length + breadth)

The perimeter of the rectangle = 2(300 + 90)

The perimeter of the rectangle = 780 m

Learn more about the perimeter of a rectangle here:

https://brainly.com/question/19819849

#SPJ5

Answer:

32 miles (I'm sure you can convert to 32 without units)

Step-by-step explanation:

We can simply add up all of the values, yielding 25 + 6 + 1 = 32 total miles.

Answer:

CD = 15

Step-by-step explanation:

We are given two quadrilaterals: CDEF and GIJH.

We know that CD = 3x - 6, and GI = x + 8.

We want to find the length of CD.

Notice how CD and GI both have one tick mark on them.
This indicates that these two are congruent, meaning that they have the same length.

Because of that, CD = GI.

If we substitute 3x - 6 for CD and x + 8 for GI, we get:

3x - 6 = x + 8

Now, we can solve this like a regular equation.

Add 6 to both sides.

3x - 6 = x + 8

    +6       +6

_________________

3x = x + 14

Subtract x from both sides.

3x = x + 14

-x    -x

_____________-

2x = 14

Divide both sides by 2.

2x = 14

÷2    ÷2

____________

x = 7

We found the value of x.

Now, substitute 7 as x in 3x-6 (the length of CD).

CD = 3x - 6 = 3(7) - 6 = 21 - 6 = 15

Therefore, CD = 15.

Answer:

4

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    4*x+7-(23)=0

Pull out like factors :

A factor is a number that divides another number, leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product.

                     4x - 16  =   4 • (x - 4) = 0

                      x-4 = 0

Add  4  to both sides of the equation :

therefore, x = 4

To know more about linear equations, visit: https://brainly.in/question/48653350?referrer=searchResults

#SPJ1

Answer:

X=2

Y=1

Step-by-step explanation:

........... Solution on the photo above

a)  Z-score for Patrisse test grade is 0.7288

b) z-score for Makayla test grade is -0.7441

c) Patrisse did better.

A Z-score is a numerical measurement that describes a value's relationship to the mean of a group of values.

Z-score for Patrisse test grade.

X= 81.4, \(\mu\) = 72.8, \(\sigma\) = 11.8

Z= x-  \(\mu\) /  \(\sigma\)

Z= 81.4 - 72.8/ 11.8

Z= 0.7288

Now, z-score for Makayla test grade.

X= 60.6, \(\mu\) = 67, \(\sigma\) = 8.6

Z= x-  \(\mu\) /  \(\sigma\)

Z= 60.6 - 67/ 8.6

Z= -0.7441

Hence, Patrisse did better as she had better z- score.

Learn more about this concept here:

https://brainly.com/question/23261840

#SPJ1

The percent abundance of the medium nails in the sample is given as follows:

27.07%.

The percent abundance is obtained applying the proportions in the context of the problem.

The total length of nails is given as follows:

67 x 2.5 + 18 x 5 + 10 x 7.5 = 332.5 cm.

The length relative to medium nails is given as follows:

18 x 5 = 90 cm.

Meaning that the percent abundance is given as follows:

90/332.5 x 100% = 27.07%.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

Answer: 105 chips

Step-by-step explanation:

minute 1: 15 chips

minute 2: 30 chips

minute 3: 45 chips

minute 4: 60 chips

minute 5: 75 chips

minute 6: 90 chips

minute 7: 105 chips

or you could do 15 x 7 = 105

105 chips in 7 minutes

Answer:

Step-by-step explanation: 5.) Circular shape.

     6.) Feet.

     7.) Circle.

     8.) The circumference is 9 and the radius is 18.

     9.)  By the way we would need to use The Circumference as 2 and the radius to be 9 to equal 18 for the radius circle.

The number of solution through discriminant:

No real roots.

Quadratic equations are the polynomial equations of degree 2 in one variable of type f(x) = ax^2 + bx + c = 0 where a, b, c, ∈ R and a ≠ 0. It is the general form of a quadratic equation where 'a' is called the leading coefficient and 'c' is called the absolute term of f (x).

Now, Rearrange the terms in descending order:

\(2x^2 - 4x +5= 0,\)

Find the discriminant of quadratic equation through \((b^2-4ac)\):

Δ \(=b^2-4ac\)

Identify a, b, c through coefficient

a = 2

b = -4

c = 5

Substitute the values of a, b, c and calculate the discriminant:

Δ = - 24

Determine the number of solution through discriminant:

No real roots.

Learn more about Quadratic equation at:

https://brainly.com/question/30098550

#SPJ4

Step-by-step explanation:

π ∫₀¹ x² dx

This integral is obtained using disk method.  Each disk has a volume of V = πr²t, so the radius is r = x.

The region is 0 ≤ y ≤ x, 0 ≤ x ≤ 1.

Revolved around the x-axis, the resulting shape is a cone.

If the shape were a paraboloid, the integral would have been:

π ∫₀¹ (x²)² dx

π ∫₀¹ x⁴ dx

Answer:

Hiii I am srry I dont know the answer but have a nice day!!

Step-by-step explanation:

Answer:

6/36 or 1/6 simplified

Step-by-step explanation:

outcomes for rolling a sum of 7:

1,6

6,1

2,5

5,2

3,4

4,3

Answer:

The dispersion among sample means is less than the dispersion among the sampled items themselves because:______

b. Very large values are averaged down

Step-by-step explanation:

The sample means represent average values obtained from both large and moderate values.  Through the process of averaging, the data values obtained as the sample means are much closer to the true values.  This is why the dispersions among the sampled items will be larger than the dispersions among the sample means.  Sample dispersions describe how spread out the data values are on the number line.

The correct answer is John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.

Let's choose the function "Weekly salary is a function of the hourly pay rate and the number of hours worked."Example: John works as a part-time employee at a grocery store. His hourly pay rate is $12, and he worked for 20 hours in a week. We can evaluate the function to find his weekly salary.

Weekly salary = Hourly pay rate * Number of hours worked

Weekly salary = $12/hour * 20 hours

Weekly salary = $240

So, John's weekly salary is $240 based on his hourly pay rate and the number of hours worked.

Learn more about temperature here:

https://brainly.com/question/25677592

#SPJ8

Answer:

(1, -2)

Easy Question for me

The answers are:

6,871,000

and

18,333,000

Answer:

6871000

18333000

Step-by-step explanation:

all the numbers before thousands will be zeros and the number that decide whether thousands will be added one or remains the same is the number before the thousands which is hundreds, if it's 0-4 that means the thousands remain the same at it was before and all the numbers before it become zeros, but if it's 5-9 that means thousands will be added one and all the numbers before it become zeros.

so the answer is:

6871000

18333000

The walkway is 11 feet 6 inches long.

To find the length of the walkway, we need to add the lengths of the two boards.

The first board is 6 feet 11 inches long, which can be written as 6 + 11/12 feet using the fact that there are 12 inches in a foot.

The second board is 5 feet 7 inches long, which can be written as 5 + 7/12 feet.

Now we can add the lengths of the two boards:

6 + 11/12 feet + 5 + 7/12 feet

= 11 + 6/12 feet

=11 + 1/2 feet

Therefore, the walkway is 11 feet 6 inches long.

To learn more on Coordinate Geometry click:

brainly.com/question/27326241

#SPJ1

Answer:

Step-by-step explanation:

i am working on the assumption that nobody does all three of them

i got 4 because including the people that do swimming and park, the total number of people that do swimming is 22.

the same logic goes for cycling: including the people that do swimming and visit the national park, the total is 23.

so that means that find how many people do swimming and cycling, we have to add the people doing only swimming, with the people doing both swimming and park and then subtract that answer from 22 which gives you 4

Answer:

Either 8% or 12%.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given,

As we know that the all sides of the square are equal.

Length of a square paper = 12 cm

Area of square = ?

Now, let's find the area of square

\( = {l}^{2} \)

plugging the value of length,

\( {(12)}^{2} \)

Evaluate the power

\( = 144\) square cm

Hope this helps...

Best regards!!

Answer:

Step-by-step explanation:

I and II

Pages in a book and leaves on a tree can be counted precisely. They are discrete.

The height of a person cannot be measured exactly. We can get very good

approximations (to a lot of decimal places) but never exact. This is continuous.

9514 1404 393

Answer:

Step-by-step explanation:

Reflection over the line x=a is accomplished by the transformation ...

  (x, y) ⇒ (2a -x, y)

For 'a' = -3, this becomes ...

  (x, y) ⇒ (-6 -x, y)

  P(-2, 3) ⇒ P'(-6-(-2), 3) = P'(-4, 3)

  Q(2, 4) ⇒ Q'(-6-2, 4) = Q'(-8, 4)

  R(1, -1) ⇒ R'(-6-1, -1) = R'(-7, -1)

Answer:

x = 3/2 or x = -1

Step-by-step explanation:

2x² - x - 3 = 0

2*(-3) = -6

Factors of -6:

(-1, 6), (1, -6), (-2, 3), (2, -3)

We need to find a pair that adds up to the co-eff of x which is (-1)

Factors :(2,-3)

2 - 3 = -1

so, 2x² - x - 3 = 0 can be written as:

2x² + 2x - 3x - 3 = 0

⇒ 2x(x + 1) -3(x + 1) = 0

⇒ (2x - 3)(x + 1) = 0

⇒ 2x - 3 = 0 or

x + 1 = 0

⇒ 2x = 3 or x = -1

⇒ x = 3/2 or x = -1

Answer:

0.82cm

Step-by-step explanation:

Answer:

r = 0.81 cm

Step-by-step explanation:

Volume of a cylinder = πxr²xh

Volume = 48cm³

Height = 9 inches = 22.86 cm

Radius = ?

Using the above formula:

V = πr²h

r² = V / (πh)

r² =  48 / (π(22.86))

r² = 48/71.81

r² = 0.67 cm

Taking square root on both sides

r = 0.81 cm Ans

Answer:

a

Step-by-step explanation:

the slope is negative bec it's going from the top left to the bottom right corner(if I was negative the line would be going from the bottom left to the too right) then your y-intercept( the point that hits y when x is zero) is 120

Answer:

The correct answer would be A, y = -4/3x + 120

Step-by-step explanation:

Let us start with the y-intercept, the y-intercept is 120. The graph shows that the y-intercept is positive, but the slope is negative. B, C, D, and E are not correct due to the mis use of signs, a wrong slope, and a wrong y-intercept.

if u want to prove me wrong, then go ahead.

Hey there! Welcome to Brainly! I'm happy to help!

In equations, letters like x or y are called variables. They represent a number that we do not know yet, or they can almost be seen as a question mark in an equation. For example, 1+?=2. We know that this ? represents the number 1, and the same would go if you put a variable in there. If you have 1+x=2, you can figure out that x=1!

Our equation is 5x=110. When you see a number next to a variable, that number is called the coefficient. It is a number that multiplies a variable. So, our coefficient is 5. This means that five is multiplied by x to equal 110.

5·x=110

What if we don't know off the top of our heads what we multiply 5 by to get to 110? It was easy with 1+1=2, but this is trickier. Here's how to figure it out.

We want to get the x all by itself on one side of the equation. Then, we will see what x equals.

To do this, we use inverse operations. I will show you below with our 1+x=2 example.

1+x=2

We have a positive one plus an x equals two. We could visualize this like this.

+1+x=2

What we want to do is move the 1 to the other side of the equation so that x is by itself. So, what's the opposite of adding? Subtracting!

However, we don't just subtract the 1 from the left side, but we do it from the right side! You have to do the inverse operation on both sides to find the answer.

So, let's subtract 1 from both sides.

+1+x-1=2-1

x=1

We see that x equals 1, and if we plug this into the equation 1+x=2, we see that it is correct.

Now, with our problem, we need to divide, because that is the opposite of multiplication. We need to divide both sides by 5 to isolate the x. Let's do it!

5x÷5=110÷5

x=22

We see that 5×22 is equal to 110, so this is correct! Now you can solve for variables in equations!

Have a wonderful day!