if the diagonals of a quadrilateral bisected each other what shape do you have for certain?

Mensuration:

Mensuration is the branch of mathematics which concerns itself with the measurement of Lengths, areas & volume of different geometrical shapes or figures.

Plane Figure: A figure which lies in a plane is called a plane figure.

For e.g:  a rectangle, square, a rhombus, a parallelogram, a trapezium.

Perimeter:

The perimeter of a closed plane figure is the total length of its boundary.

In case of a triangle or a polygon the perimeter is  the sum of the length of its sides.

Unit of perimeter is a centimetre  (cm), metre(m) kilometre(km) e.t.c

Area: The area of the plane figure is the measure of the surface enclose by its boundary.

The area of a triangle are a polygon is the measure of the surface enclosed by its sides.

A square centimetre (cm²) is generally taken at the standard unit of an area. We use square metre (m²) also for the units of area.

Circumference of a circle is the perimeter of a circle.

In a circle the radius is half of the diameter.

The approximate value of π( Pi) is= 22/7 

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Answer:

Ones place

Step-by-step explanation:

Hope this helped, Have a Wonderful Day/Night!!

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 50000\\ P=\textit{original amount deposited}\dotfill &\$23000\\ r=rate\to r\%\to \frac{r}{100}\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &7 \end{cases}\)

\(50000 = 23000\left(1+\frac{ ~~ \frac{r}{100} ~~ }{4}\right)^{4\cdot 7} \implies \cfrac{50000}{23000}=\left( 1+\cfrac{r}{400} \right)^{28} \\\\\\ \cfrac{50}{23}=\left( \cfrac{400+r}{400} \right)^{28}\implies \sqrt[28]{\cfrac{50}{23}}=\cfrac{400+r}{400} \\\\\\ 400\sqrt[28]{\cfrac{50}{23}}=400+r\implies 400\sqrt[28]{\cfrac{50}{23}}-400=r\implies \stackrel{ \% }{11.25}\approx r\)

The next decimal number should be changed to hexadecimal. Your final response may contain up to six fractional digits. In decimal 386210, subscript 10 to F16.

F16 is 001000011000.1111. 218. F716 is 001000011000.111101112. 710 = (h0)16 = 716 is how the hexadecimal number is represented. It is necessary to add a 1 to the left and modify the number for both to 0. In base-2, the numeral 15 is represented as 1111, and the number 16 is represented as 10000. The greatest value in base-16 is the letter F, in a similar vein. such that 10 is the new value.

Binary 10 equals 1010, thus. Dividing 10 by 2 successively until the quotient equals 0 will yield the decimal to binary equivalent. By writing the remainder in each division step from bottom to top, it is possible to determine the binary equivalent.Base-16 is the definition given to hexadecimal. There are many powers of 16 in each place value in the number. The hexadecimal numbers are: 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F. 10 through 15 are represented, accordingly, by the letters A through F.

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Answer:  Number 1: = and Number 2: is C

Step-by-step explanation:

Answer:

6. >

7. 5/6, 2/3, 8/15

Step-by-step explanation:

For 6, you need to make the denominators equal, so you need to multiply 6/3*5 making it 30/15. Now which is greater 30/15 or 10/15 and you can see it's 30/15 so it would be >. For 7 you need to do the same thing but make all three denominators the same. 2/3 becomes 20/30 by multiplying by 10. 5/6 becomes 25/30 by multiplying by 5. Lastly, 8/15 becomes 16/30 by multiplying by 2. Now all their denominators are the same, so now all you have to do is order them. 25/30, 20/30, and 16/30. This is equal to 5/6, 2/3, 8/15.

The matrix is 3 × 3 square matrix . Its values are:

\(a_{11} = 50 \\ a_{12} = 44 \\a_{13} = -43 \\a_{21} = 31 \\a_{22} = 16 \\a_{23} = 7 \\a_{31} = 37 \\a_{32} = 119 \\a_{33} = 94\)

Given,

Matrix A and Matrix B

Now,

According to matrix multiplication rule first row of one matrix will be multiplied with first column of second matrix if the columns in first matrix is equal to the rows of second matrix.

So,

Apply multiplication rule,

\(a_{11} = 30 + 14 + 6 = 50 \\ a_{12} = 55 + 7 - 18 = 44 \\a_{13} = -20 -35 + 12 = -43 \\a_{21} = 24 - 2 + 9 = 31 \\a_{22} = 44 -1 -27 = 16 \\a_{23} = -16 + 5 + 18 = 7 \\a_{31} = 36 + 16 - 15 = 37 \\a_{32} = 66 + 8 + 45 = 119 \\a_{33} = -24 -40 -30 = -94\)

Thus the values of the matrix can be calculated.

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Step-by-step explanation:

use an interest calculator it is going to be much easier

I believe its $6986.25

https://www.bankrate.com/calculators/savings/simple-savings-calculator.aspx

Answer:

The mean would be 45. But since that's not a option it might be C. The value of the mean would remain the same at about 46.

Step-by-step explanation:

Answer:

  (c)  The value of the mean would remain the same at about 46.

Step-by-step explanation:

You want to know how the mean of the given list would change if a value of 45 were added to the list.

The mean is the sum, divided by the number of items being summed. The calculator shows the mean of the given numbers is about 46 1/6.

This means the sum is (46 1/6)·12 = 554.

Adding 45 to the list would make the sum be 599, and the mean would change to ...

  599/13 ≈ 46.08

The value of the mean remains the same at about 46.

__

Additional comment

The added value is 46 1/6 -45 = 1 1/6 below the mean. Adding this value changes the mean by (-1 1/6)/13 = -7/78 ≈ -0.0897, so the nearest integer to the mean does not change.

Step-by-step explanathat one is true

I don't know how to represent it on a nomberline

I

a) The contents of register x31 after the following instruction is executed? addi x31, x5, 32 is 277968880 decimal.

b) The contents of register x28 after the following instruction is executed is 278427652 decimal.

c)The contents of register x29 after the following instruction is executed is 1056 decimal

d) The contents of register x29 after the following instruction is executed is 278427652 decimal

In computer architecture, registers are special storage locations within the CPU that hold data temporarily. These registers can hold values in binary, decimal, or hexadecimal formats. In this scenario, we have two registers x5 and x6, holding hexadecimal values. We will use these values to answer the given questions about register manipulation.

a) To determine the contents of register x31 after the instruction "addi x31, x5, 32", we need to add 32 to the value in x5 and store the result in x31. The value in x5 is 01a74cd0hex, which is equivalent to 277968848 in decimal. Adding 32 to this value, we get 277968880 decimal. Therefore, the contents of register x31 after the instruction is executed would be 277968880 decimal.

b) To determine the contents of register x28 after the instruction "add x28, x5, x6", we need to add the values in x5 and x6 and store the result in x28. The value in x5 is 01a74cd0hex, which is equivalent to 277968848 decimal. The value in x6 is 00467b44hex, which is equivalent to 458804 decimal. Adding these two values, we get 278427652 decimal. Therefore, the contents of register x28 after the instruction is executed would be 278427652 decimal.

c) To determine the contents of register x29 after the instruction "ld x29, 1056decimal (x30)", we need to load the value at memory location 1056decimal + the value in register x30 into register x29. The value in register x30 is not given in this scenario, so we cannot determine the contents of register x29.

d) To determine the contents of register x29 after the instruction "sd x28, 16 decimal (x29)", we need to store the value in register x28 at memory location 16 decimal + the value in register x29. The contents of register x28 is 278427652 decimal

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Answer:

What is the question? _______

The length of EB is approximately 14.6 units when rounded to the nearest tenth.

To find the length of EB, we can use the property of similar triangles in this diagram. By looking at triangle DFE and triangle CFB, we can see that they are similar triangles.

Using the similarity ratio, we can set up the proportion:

DF / CF = DE / EB

Plugging in the given values, we have:

13.1 / 10.9 = 17.5 / EB

To find EB, we can cross-multiply and solve for EB:

13.1 * EB = 10.9 * 17.5

EB = (10.9 * 17.5) / 13.1

EB ≈ 14.6

Therefore, the length of EB is approximately 14.6 units when rounded to the nearest tenth.

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The scatterplot is below.

I used GeoGebra to make the scatterplot. Though you could use other tools such as Excel or Desmos, or lots of other choices.

Side note: I'm not sure why, but you repeated the point (0.7,1.11) three times.

Answer:

B. 10x -40

Step-by-step explanation:

To rewrite the expression 5(2x-8) using the distributive property, we need to separate the expression inside the parentheses and then multiply the two expressions by 5. The answer is: 10x-40.

The solution to the system of equations is x = 6 and  y = -5, which is the same as we obtained using the elimination method.

A system of equations is a collection of one or more equations that are considered together. The system can consist of linear or nonlinear equations and may have one or more variables. The solution to a system of equations is the set of values that satisfy all of the equations in the system simultaneously. The given system of equations is:

2x + y = 7 ---(1)

x + y = 1 ---(2)

To solve this system, we can use the method of elimination or substitution.

Method 1: Elimination

In this method, we eliminate one of the variables by adding or subtracting the two equations. To do this, we need to multiply one or both equations by a suitable constant so that the coefficients of one of the variables become equal in magnitude but opposite in sign.

Let's multiply equation (2) by -2, so that the coefficient of y in both equations becomes equal in magnitude but opposite in sign:

-2(x + y) = -2(1) --

Multiplying equation

(2) by -2-2x - 2y = -2

Now we can add the two equations (1) and (-2x - 2y = -2) to eliminate y:

2x + y = 7(-2x - 2y = -2)0x - y = 5

We now have a new equation in which y is isolated.

To solve for y, we can multiply both sides by -1:

-1(-y) = -1(5)y = -5

Now that we know y = -5, we can substitute this value into equation (2) to find x:x + y = 1x + (-5) = 1x = 6

Therefore, the solution to the system of equations is (x,y) = (6,-5).

Method 2: Substitution

In this method, we solve one of the equations for one variable in terms of the other variable and substitute this expression into the other equation to get an equation with only one variable.

From equation (2), we can solve for y in terms of x:y = 1 - x

We can then substitute this expression for y into equation (1):2x + y = 72x + (1 - x) = 7 --Substituting y = 1 - xx + 1 = 7x = 6

Now that we know x = 6, we can substitute this value into equation (2) to find y:x + y = 16 + y = 1 --Substituting x = 6y = -5

Therefore, the solution to the system of equations is (x,y) = (6,-5), which is the same as we obtained using the elimination method.

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Solution:

We know that:

Simplify the distributive property.

Further simplify both sides.

Subtract 17/6 both sides.

Subtract x/4 both sides.

Use cross multiplication.

Divide -60 both sides.

The Amy has 42 books, Betty has 36 books, and Carol has 18 books.

Let's set up equations to represent the given information:

Let A represent the number of books Amy has.

Let B represent the number of books Betty has.

Let C represent the number of books Carol has.

Let's say Amy has x books.

Betty has 6 books less than Amy, so Betty has (x - 6) books.

Carol has half as many books as Betty, so Carol has (x - 6)/2 books.

According to the problem, the total number of books they have is 96.

So, we can write the equation:

x + (x - 6) + (x - 6)/2 = 96

To solve the equation, we can simplify it by multiplying through by 2 to remove the fraction:

2x + 2(x - 6) + (x - 6) = 192

2x + 2x - 12 + x - 6 = 192

5x - 18 = 192

5x = 210

x = 42

Amy has 42 books.

Betty has (42 - 6) = 36 books.

Carol has (36)/2 = 18 books.

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Answer:

y = -2.4x + 32

or y = -12/5x + 16/5

or 12x + 5y = 16

Step-by-step explanation:

slope intercept form is y = mx + b

replace the m with the slope and b with y intercept

y = -2.4x + 3.2

with fractions instead of decimals its

y = -12/5x + 16/5

you could also write it like this I think

12x + 5y = 16

whatever way you were taught, do it

(sorry I don't have one straight answer: I did that once and a kid got a bad grade because that wasn't how he/she learned it)

Answer: i cant see thw whoke length but if both are 8 if 32

Step-by-step explanation:

8 × 2 16 then if the other sides 8 8×2 = 16 16+16 =32

Therefore , the solution of the given problem of angles comes out to be

x =  42.5° and  y = 20°.

In Euclidean geometry, an arc is a construct made up of two rays that split at the apex and vertex, which are located in the middle of the angle. The sides or loops are the name given to these rays. A combination of two rays may result in an inclination that is inside the surfaces in which they are located. Two planes can be combined to form an angle as well. They are referred to as dihedral angles. Two line rays with end points can be arranged in a variety of ways to create styles in two dimensions.

Here,

Given :

=> 4y + 5y = 180°

=> 9y = 180°

=> y = 180°/9

=> y = 20°

and

=> 2x + 5 + 90° = 180°

=> 2x + 95° = 180°

=> 2x = 85°

=> x =  42.5°

Therefore , the solution of the given problem of angles comes out to be

x =  42.5° and  y = 20°.

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So the lowest price that yields a revenue of $7840 is $32 and the highest price is $64.

The first ten integers are the basic numbers in mathematics. The range of these vital values is 0 to 9. Basic integers in the 0 to 9 range include 0 through 1, 2, 3, 4, 5, 6, 7 and 8.

The total revenue from selling x units is given by:

R = xp

Substituting the demand equation p = 128 - 0.04x, we get:

R = x(128 - 0.04x)

R = 128x - 0.04x²

To find the prices that yield a revenue of $7840, we can set R equal to 7840 and solve for x:

7840 = 128x - 0.04x²

0.04x² - 128x + 7840 = 0

Dividing both sides by 0.04, we get:

x² - 3200x + 196000 = 0

Using the quadratic formula, we can solve for x:

x = [3200 ± √(3200² - 4(1)(196000))] / 2

x = [3200 ± √(10240000)] / 2

x = [3200 ± 3200] / 2

x = 1600 or x = 2400

Therefore, the corresponding prices that yield a revenue of $7840 are:

p = 128 - 0.04x

p = 128 - 0.04(1600) = 64 dollars

p = 128 - 0.04(2400) = 32 dollars

So the lowest price that yields a revenue of $7840 is $32 and the highest price is $64.

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Answer:

27.46 °F

Step-by-step explanation:

Answer:

The % of drivers that will exceed this limit is 10.56 %

Step-by-step explanation:

Let's start defining the random variable :

\(X\) : '' The speed on that road ''

We know that \(X\) can be modeled with a Gaussian distribution ⇒

\(X\) ~ \(N\) ( μ , σ )

Where ''μ'' is the mean and ''σ'' is the standard deviation. Given that the average speed and the standard deviation of the problem are known we write :  

\(X\) ~ \(N(67,4)\)

We are asked about \(P(X>72)\) (which is the % of drivers that will exceed this limit).

To find this probability we are going to make a standardization of the variable \(X\) (also called a change of variables).

We are going to substract the mean to \(X\) and then divide by its standard deviation :

\(P(X>72)=\) P [(X-μ) / σ > (72 - μ) / σ] (I)

The new variable [(X - μ) / σ] is called Z.

Z can be modeled as

\(Z\) ~ \(N(0,1)\)

⇒ Replacing in (I) the values of the mean and the standard deviation :

\(P(Z>\frac{72-67}{4})\) = \(P(Z>1.25)=1-P(Z\leq 1.25)\)

The convenience of this is that we can find the probabilities of Z (which is a N(0,1) ) in any table on internet ⇒

Looking at any table we will find that \(P(Z\leq 1.25)=0.8944\) ⇒

\(P(X>72)=P(Z>1.25)=1-P(Z\leq 1.25)=1-0.8944=0.1056\) = 10.56 %

We find that the % of drivers that will exceed this limits is 10.56 %

Answer:

These two corners are \(\sqrt{13}\) units apart.

Step-by-step explanation:

Distance between two points:

Suppose we have two points, \((x_1,y_1)\) and \((x_2,y_2)\). The distance between them is given by:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Approximately how far apart are the two corners?

We have to find the distance between the points (-5,-2) and (-8-3). So

\(D = \sqrt{(5-(-8))^2+(-2-(-3))^2} = \sqrt{13}\)

These two corners are \(\sqrt{13}\) units apart.

Answer: 752

Step-by-step explanation:

Given that,

Margin of error = 3% = 0.03

confidence level = 90% = 0.90

therefore from the z-table

z = 1.645

Now since no prior estimate of p is given, so we say p = 0.5

Sample size required will be

n = 1.645² × 0.5 ×(1-0.5) / 0.03² = 751.67

n = 751.67 ≈ 752

Hi there!

For number 13, it’ll be matching 11 and 12 since all of those are an X shape size.

For number 14, it would be just 9.

For number 15, it is 7 and 8 since it is all like a shape of 2 lines.

Number 10 would be number cause it’s not a parallel line, intersecting line, or a perpendicular line.

4x+2y=6​

First, solve for y:

2y= 6-4x

y= (6-4x) /2

y= -2x+3

Slope intercept form:

y=mx +b

Where:

m= slope

b= y-intercept

The number next to the variable x is the slope (-2)

The other number is the y-intercept (b=3)

slope = -2

y-intercept = 3

Answer:

x < -3 or x > 2

Step-by-step explanation:

x² + x - 6 > 0

Convert the inequality to an equation.

x² + x - 6 = 0

Factor using the AC method and get:

(x - 2) (x + 3) = 0

If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.

x - 2 = 0

x = 2

x + 3 = 0

x = -3

So, the solution is x < -3 or x > 2