How much dose 15 go in 48

Solution

To circumscribe a circle about any triangle, we need the

Center of a circle

Perpendicular bisectors

Circumcenter of a triangle.

Orthocenter of a triangle is the point where the perpendicular drawn from the vertices to the opposite sides of the triangle intersect each other. This point is not needed when circumscribing a circle about any triangle.

Hence, the correct option is Orthocenter of a triangle

Answer:

2√2 units.

Step-by-step explanation:

To find the length of the line joining points A(3, 5) and B(1, 3), we can use the distance formula. The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Substituting the coordinates of points A and B into the formula, we have:

d = sqrt((1 - 3)^2 + (3 - 5)^2)

  = sqrt((-2)^2 + (-2)^2)

  = sqrt(4 + 4)

  = sqrt(8)

  = 2sqrt(2)

Therefore, the length of the line joining points A and B is 2√2 units.

Answer:

the set of all real numbers -1≤y≤1

Step-by-step explanation:

according to the definition of 'sin'-function, the max value of it is '+1' and the min is '-1'. Finally, the correct answer is B. the set of all real numbers -1≤y≤+1.

Answer:

360 degrees in a square.

360/4 = 90

90/2 = 45

45 + 21 = 66

66/6 = 11

X= 11

The value of x from the square is x = 11

A square is a four sided quadrilateral with all of the side having equal lengths. The total internal angle of a square is 360° with each side perpendicular to each other.

A square is a 4 sided polygon where all the sides are of equal length.

The area of the square is the square of any one of its side

Let a be the side of the square

Area of the square = a²

Given data ,

Let the square be represented as PQRS

Now , for a square , the quadrilateral have all four sides as 90°

The diagonal of a square cuts the angle by 2

So , the measure of ∠SQR = 45° = measure of SQP

The measure of SQP = ( 6x - 21 )°

Substituting the values in the equation , we get

( 6x - 21 )° = 45°

On simplifying the equation , we get

6x - 21 = 45

Adding 21 on both sides of the equation , we get

6x = 66

Divide by 6 on both sides of the equation , we get

x = 11

Hence , the value of x = 11

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Answer:

 \(5\frac{1}{3}\)

Step-by-step explanation:

\(\boxed{a^{2} -b^{2} = (a +b)(a -b)}\)

9x² -9y²= 72

Factorise:

9(x² -y²)= 72

Divide both sides by 9:

x² -y²= 8

(x +y)(x -y)= 8

Given that x -y= 1.5,

(x +y)(1.5)= 8

Divide both sides by 1.5:

x +y= \(5\frac{1}{3}\)

Answer:

\((4, -1, 3)\)

Step-by-step explanation:

We have the system of equations:

\(\left\{ \begin{array}{ll} x+2y+z =5 \\ 2x-y+2z=15\\3x+y-z=8 \end{array} \right.\)

We can convert this to a matrix. In order to convert a triple system of equations to matrix, we can use the following format:

\(\begin{bmatrix}x_1& y_1& z_1&c_1\\x_2 & y_2 & z_2&c_2\\x_3&y_2&z_3&c_3 \end{bmatrix}\)

Importantly, make sure the coefficients of each variable align vertically, and that each equation aligns horizontally.

In order to solve this matrix and the system, we will have to convert this to the reduced row-echelon form, namely:

\(\begin{bmatrix}1 & 0& 0&x\\0 & 1 & 0&y\\0&0&1&z \end{bmatrix}\)

Where the (x, y, z) is our solution set.

Reducing:

With our system, we will have the following matrix:

\(\begin{bmatrix}1 & 2& 1&5\\2 & -1 & 2&15\\3&1&-1&8 \end{bmatrix}\)

What we should begin by doing is too see how we can change each row to the reduced-form.

Notice that R₁ and R₂ are rather similar. In fact, we can cancel out the 1s in R₂. To do so, we can add R₂ to -2(R₁). This gives us:

\(\begin{bmatrix}1 & 2& 1&5\\2+(-2) & -1+(-4) & 2+(-2)&15+(-10) \\3&1&-1&8 \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 2& 1&5\\0 & -5 & 0&5 \\3&1&-1&8 \end{bmatrix}\)

Now, we can multiply R₂ by -1/5. This yields:

\(\begin{bmatrix}1 & 2& 1&5\\ -\frac{1}{5}(0) & -\frac{1}{5}(-5) & -\frac{1}{5}(0)& -\frac{1}{5}(5) \\3&1&-1&8 \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\3&1&-1&8 \end{bmatrix}\)

From here, we can eliminate the 3 in R₃ by adding it to -3(R₁). This yields:

\(\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\3+(-3)&1+(-6)&-1+(-3)&8+(-15) \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\0&-5&-4&-7 \end{bmatrix}\)

We can eliminate the -5 in R₃ by adding 5(R₂). This yields:

\(\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\0+(0)&-5+(5)&-4+(0)&-7+(-5) \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\0&0&-4&-12 \end{bmatrix}\)

We can now reduce R₃ by multiply it by -1/4:

\(\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\ -\frac{1}{4}(0)&-\frac{1}{4}(0)&-\frac{1}{4}(-4)&-\frac{1}{4}(-12) \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\0&0&1&3 \end{bmatrix}\)

Finally, we just have to reduce R₁. Let's eliminate the 2 first. We can do that by adding -2(R₂). So:

\(\begin{bmatrix}1+(0) & 2+(-2)& 1+(0)&5+(-(-2))\\ 0 & 1 & 0& -1 \\0&0&1&3 \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 0& 1&7\\ 0 & 1 & 0& -1 \\0&0&1&3 \end{bmatrix}\)

And finally, we can eliminate the second 1 by adding -(R₃):

\(\begin{bmatrix}1 +(0)& 0+(0)& 1+(-1)&7+(-3)\\ 0 & 1 & 0& -1 \\0&0&1&3 \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 0& 0&4\\ 0 & 1 & 0& -1 \\0&0&1&3 \end{bmatrix}\)

Therefore, our solution set is \((4, -1, 3)\)

And we're done!

Answer:

2000

Step-by-step explanation:

1 kilogram is 100 grams therefore 2 kilo grams is equal to 2000 grams

The word kilo means thousand in Greek and i think French

:)

Answer:

2,000 grams :)

Answer:

It's true,

I'm sure about it

The solution to the system of equations is x = -3 and y = -4.

To solve the system of equations:

Equation 1: 2x - y = -10

Equation 2: 3x + 2y = -1

We can use the method of substitution or elimination to find the values of x and y.

Let's use the method of elimination:

Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:

2(2x - y) = 2(-10)

4x - 2y = -20

Now, we can eliminate y by adding Equation 2 and the modified Equation 1:

(3x + 2y) + (4x - 2y) = -1 + (-20)

7x = -21

x = -3

Substitute the value of x into Equation 1 to solve for y:

2(-3) - y = -10

-6 - y = -10

y = -10 + 6

y = -4

Therefore, the solution to the system of equations is x = -3 and y = -4.

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Answer:

all real numbers

Step-by-step explanation:

Answer:

C. All real numbers

Step-by-step explanation:

x goes forever in both the positive and negative directions, so the domain is all real numbers.

Texas' location and climate led to the development of the aviation industry.

What is the significance of Texas in the development of the aviation industry?

The development of the aviation industry in Texas can be attributed to its favorable geographical location and climate. Texas is located in the southern part of the United States, making it a strategic location for air travel between the east and west coasts of the country. Additionally, its warm and dry climate provided ideal conditions for flight testing and training.

Reason what led to the development of the aviation industry :

Texas has a long history of aviation, with the Wright brothers conducting one of their earliest flight demonstrations in the state in 1910. The establishment of military bases during World War II and the subsequent development of aircraft training facilities in Texas further fueled the growth of the aviation industry in the state. Additionally, the placement of the Johnson Space Center in Houston helped to establish Texas as a hub for aerospace research and development. However, it is Texas' favorable location and climate that truly made it a prime location for the aviation industry. Its central location made it a strategic location for air travel and logistics, while its warm and dry climate provided ideal conditions for flight testing and training. Today, Texas remains one of the top states for aviation and aerospace industries, with major airports, aircraft manufacturers, and research institutions located throughout the state.

Therefore, option (d) is correct.

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Answer:

9

Step-by-step explanation:

The volume of the oblique rectangular prism that is given above would be = 212.4

To calculate the volume of the oblique rectangular prism, the formula for the volume of a prism should be used which is given below. That is;

Volume of prism= L×w×h

where;

Length = 9

width = 4

height = ?

But the height of the oblique rectangular prism can be calculated using the sine formula;

That is;

height = 8× 0.7314

= 5.9

Therefore volume = 9×4×5.9 = 212.4

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Answer:

Step-by-step explanation: [-2.19] = -3

[3.67] = 3

[-0.83] = -1

The domain of this function is a group of real numbers that are divided into intervals such as [-5, 3), [-4, 2), [-3, 1), [-2, 0) and so on. This explains the domain and range relations of a step function.

This can be generalized as given below:

[x] = -2, -2 ≤ x < -1

[x] = -1, -1 ≤ x < 0

[x] = 0, 0 ≤ x < 1

[x] = 1, 1 ≤ x < 2

Answer:

y = - \(\frac{3}{2}\) x

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (0, 0) ← 2 points on the line

m = \(\frac{0-3}{0-(-2)}\) = \(\frac{-3}{0+2}\) = - \(\frac{3}{2}\) , then

y = - \(\frac{3}{2}\) x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (0, 0 )

0 = - \(\frac{3}{2}\) (0) + c = 0 + c , so

c = 0

y = - \(\frac{3}{2}\) x + 0 , that is

y = - \(\frac{3}{2}\) x

The inequality that represents the value of x is (b)  x > 80

from the question, we have the following parameters that can be used in our computation:

The figure

The general rule is that

The larger the side length, the larger the angle opposite it

using the above as a guide, we have the following:

1/8x > 10

So, we have

x > 80

Hence, the inequality is x > 80

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Answer: the graph is incorrect

Step-by-step explanation:

The graph should be headed towards the left (the negative x side) because x is negative

Answer:

The graph is not correct, because it is a positive graph. It answers the equation y= x, and Franco said it was y= -x. His line would be negative, and this graph is positive.

Step-by-step explanation:

Answer: >

Step-by-step explanation:

7 eights is greater than the amount of 2 thirds.

The answer to the question is >. Hope this helps!

Answer:

Brother has $6

I have $18

Step-by-step explanation:

To answer - you have to write the equation out. Money I have is (3x) and Brother's money is x. :)

The power expression "w^5" can be entered as "w^5".

To represent a power using the caret symbol, follow these steps:

Start with the base variable or term, in this case, "w".

Type the caret symbol (^), which can be accessed by pressing SHIFT-6 on your keyboard.

Immediately after the caret symbol, enter the exponent or power value, in this case, "5".

The resulting power expression "w^5" represents the variable "w" raised to the power of 5.

Regarding the use of the fraction tool, it is not required to represent the power "w^5" as it does not involve any fraction. The fraction tool is typically used to enter fractions or rational expressions in the form of numerator/denominator.

Therefore, to represent the power "w^5", simply write it as "w^5" without using the fraction tool.

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According to the model, the recommended amount of sleep for a 25-year-old person is equal to 6.75 hours of sleep.

In Mathematics and Statistics, a line of best fit is also referred to as a trend line and it can be defined as a statistical or analytical tool that is typically used by researchers and mathematicians in conjunction with a scatter plot, in order to determine whether or not there is any form of association and correlation between a data set.

Based on the scatter plot, we can logically deduce that a linear equation which represents the line of best fit include the following:

y = -0.25x + 13

For a 25 years old person, the recommended hours of sleep can be calculated as follows;

y = -0.25x + 13

y = -0.25(25) + 13

y = -6.25 + 13

y = 6.75 hours of sleep.

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Step-by-step explanation:

where is the graph

complete the question

Correction in point 1: Purchases of supplies for cash during December were $3,300. Supplies on hand at the end of December equal $2,800.

What is Journal Entry?

The act of recording any economic transactions is called a journal entry. An accounting journal lists transactions and displays a company's debit and credit balances. Each recording in the journal entry can be either a debit or a credit, and it can be made up of multiple recordings. The way an accounting transaction is entered into a company's accounting records is through an accounting journal entry.

This question is related to the account and finance subject.

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Answer:

discriminant = 0

Step-by-step explanation:

discriminant is b² - 4ac

in this problem, a = 1, b = -10, c = 25

you plug the values of a, b, and c into the discriminant formula: b² - 4ac

(-10)² - 4(1)(25) = 100 - 100 which equals zero

You can find the answer by using the method of "Factoring" the equation, the factored for will give you "(x-5)^2 =y" which can also be written as "(x-5) + (x-5). Good luck!

The remaining zeros will be = -4 and 3 - i

According to the information given in the question,

The function f(x) has coefficients with real numbers.

The degree is given in the question = 3

∴ This means that there are 3 roots ( zeros )

Hence, The number of roots = The degree that is given in the question.

Zeros gave in the question = 4, 3 + i

This question will be solved using the Complex Conjugate Root Theorem,

According to this theorem, if there are complex roots with real coefficients then the root of its polynomial, will also be its complex conjugate.

So the resultant conjugates will be,

⇒ 4 = -4

⇒ 3 + i = 3 - i

Therefore, The remaining zeros will be = -4 and 3 - i

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Given a polynomial f(x) with real coefficients and the following information, find the remaining zeros of f(x). Degree 3 Zeros: 4, 3 + i

Answer:1977.60

Step-by-step explanation:

24x8= 192

192x 10.30= 1977.60

The temperature at the beginning of the week  was = 65

and, the temperature now = 18.2

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

After one week, the temperature decreased by 46.8° with a

percent change of 72%.

let,

the temperature at the beginning of the week = x

so, we get,

x= 46.8/72*100

 =65

i.e. the temperature at the beginning of the week  was = 65

and, the temperature now = 18.2

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The length FE in the circle is 6 units

The arc AE has a measure of 64 degrees

From the question, we have the following parameters that can be used in our computation:

The circle

Given that the lengths from the center to either chords are equal

This means that

FE = 6 units

For the other circle, we have

BC = 58 degrees

AB = ED

The arc AE is calculated as

AE = 180 - BC - ED

Where

AB = ED = BC = 58 degrees

So, we have

AE = 180 - 58 - 58

Evaluate

AE = 64

Hence, the arc AE is 64 degrees

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9514 1404 393

Answer:

  86 m^2

Step-by-step explanation:

The figure is equivalent to a rectangle that is 8 m by 12 m, with a triangle cut off. The width of the triangle is (12 m-8 m) = 4 m. The height of the triangle is (8 m-3 m) = 5 m.

Then the figure's area is ...

  A = LW - (1/2)bh

  A = (12 m)(8 m) -(1/2)(4 m)(5 m) = 96 m^2 -10 m^2

  A = 86 m^2

The area of the figure is 86 square meters.

Answer:

f = -15

Step-by-step explanation:

3(f/3) equals f

3(-5) equals -15

The final equation becomes: f = -15