The base and corresponding height of a parallelogram are 75 cm and 25 cm. If the other base is 50 cm, find out its corresponding height.

True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.

In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.

The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.

For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.

Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.

Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.

for such more question on Hexadecimal numbers

https://brainly.com/question/28280312

#SPJ8

The directional derivative of the function f(x,y) in the direction of a at the point p0 is given by the dot product of the gradient of f at p0 and the unit vector in the direction of a.

Therefore, to find the derivative of f(x,y) at p0 in the direction of a, we first need to find the gradient vector of f at p0 and then compute the dot product of that gradient vector with the unit vector in the direction of a.

To find the gradient vector of f at p0, we first compute the partial derivatives of f with respect to x and y:

fx(x,y) = y

fy(x,y) = x - 6y

Then, we evaluate these partial derivatives at the point p0=(-7,0) to obtain:

fx(-7,0) = 0

fy(-7,0) = -7

Therefore, the gradient vector of f at p0 is:

∇f(-7,0) = (0, -7)

To find the unit vector in the direction of a, we first need to normalize a by dividing it by its magnitude:

|a| = sqrt(1^2 + 2^2) = sqrt(5)

a_hat = (1/sqrt(5), 2/sqrt(5))

Then, the derivative of f at p0 in the direction of a is given by:

Daf(-7,0) = ∇f(-7,0) · a_hat

         = (0, -7) · (1/sqrt(5), 2/sqrt(5))

         = -14/sqrt(5)

Therefore, the derivative of f(x,y) at p0=(-7,0) in the direction of a=(1,2) is -14/sqrt(5).

Learn more about directional derivative here: brainly.com/question/31036777

#SPJ11

The magnitude of the net electric field at point P due to the particle is 0 . explanation is given as

let us assume that , The charges of the four particles and the distance are given then on understanding the  concept of electric field  at electrostatics concept. on using the concept of the electric field at any given point, then production of  individual electric field by a charge. and we known the concept of superposition law, on applying the law  we  get the value of the electric field in its direction and this shows the determination of   the net electric field at that point.

The magnitude of the electric field,  

E = q * R

where R = The distance of field at  point from the charge, and q = charge of the individual particle

According to the superposition principle, the electric field at a single point due to more than one charges present ,hence on calculation of net electric field  we get the origin of the coordinate system  which is placed at point P and the y-axis is situated and oriented in the direction of the charge,  (passing through the charge, ). The x-axis which  is perpendicular to the y axis, and thus passes through the identical charges, then the  individual magnitudes of an electric field is due to the charges are demonstrated by using the absolute signs of the charges. Now let us assume that the point charge which  being positive i.e  ( q > 0), we can see that the contributions coming from each charge gets cancel to each other. Therefore the net electric field in the direction of the y-axis is given using equation as  E= 0

hence the net electric field is zero .

To know more about electric field click here:

brainly.com/question/15800304

#SPJ4

Answer:

\(\large \boxed{\text{A. 3.0 h}}\)

Step-by-step explanation:

The bill          = $190

Less flat fee  =    25

Work done   = $165

\(\text{Hours worked} = \$165 \times \dfrac{\text{1 h}}{\$55} = \textbf{3.0 h}\\\\\text{The electrician was on the job for $\large \boxed{\textbf{3.0 h}}$}\)

Answer:

well

Step-by-step explanation:

40 ÷ 5 = 8

so the answer should be an 8 inch toy bus

There are 9,000,000 different possible license plates.

Since the license plate has one letter followed by five digits, we need to consider two cases separately:

Case 1: The letter can be any of the 24 letters of the alphabet, excluding 'i' and 'o'.

Case 2: Each digit can be any of the 10 digits from 0 to 9.

For the first position, there are 24 choices for the letter. For the second position, there are 10 choices for the digit. Similarly, there are 10 choices for the third, fourth, fifth, and sixth positions.

Therefore, the total number of possible license plates is:

24 x 10 x 10 x 10 x 10 x 10 = 24 x 10^5 = 9,600,000

However, we need to exclude the license plates that contain 'i' or 'o'. There are 2 choices for the first position, and 10 choices for the remaining positions.

Therefore, the total number of license plates that contain 'i' or 'o' is:

2 x 10 x 10 x 10 x 10 x 10 = 2 x 10^5 = 200,000

So the final answer is:

24 x 10^5 - 2 x 10^5 = 9,600,000 - 200,000 = 9,000,000

Learn more about license plate

brainly.com/question/29331352

#SPJ11

Answer: Anna

Step-by-step explanation:

        First, I will create proportions.

Anna: 2 lemon : 9 water

Jack: 3 lemon : 15 water

        Next, I will simplify them.

\(\frac{2}{9}\) = Already simplified

\(\frac{3}{15}\) = \(\frac{1}{5}\)

        Now I will give them common denominators and compare. Anna's has a larger lemon to water ratio, so Anna's will have a stronger lemon taste.

\(\frac{2}{9}\)  * \(\frac{5}{5}\) = \(\frac{10}{45}\)

\(\frac{1}{5}\) * \(\frac{9}{9}\) = \(\frac{9}{45}\)

Let us designate the box's width as x inches. According to the information provided, the length is three inches longer than the width, hence the length is (x + 3) inches. The height is specified as ten inches.

We multiply the length, width, and height of the box to determine its volume. So far, we have:

540 = (x + 3) x 10 Volume = Length Width Height

Extending this equation yields:

540 = 10x^2 + 30x

The equation is now rearranged to become a quadratic equation:

10x^2 + 30x - 540 = 0

This equation may be simplified by dividing all of the terms by ten:

x^2 + 3x - 54 = 0

We may get the potential values for x by factoring or using the quadratic formula. Because width cannot be negative, we eliminate -9, leaving us with the box's width of 6 inches.

For more such questions on ten inches

https://brainly.com/question/14255210

#SPJ8

Answer:

You can buy 8 pizzas

Step-by-step explanation:

$58 - $10 = $48

$48/$6 = 8

The 1930s was a period of significant change in the U.S. entertainment industry, with the emergence of new technologies and the development of new forms of media. Here are some of the key changes that took place:

Overall, the 1930s was a period of significant change in the U.S. entertainment industry, with the rise of new technologies and the emergence of new forms of media leading to the development of new genres and changing audience preferences.

Answer:

7mm

Step-by-step explanation:

Area=l*b

35cm²=l*50mm

350mm²/50mm=l

7mm=l

Answer:

Identify the smaller acute angle associated with the reflex angle. A reflex angle has more than 180 degrees but fewer than 360.

Draw a vertical line connecting the rays of the acute angle. ...

Measure the rise and the run of the acute angle. ...

Divide rise by run to find the slope of the acute angle. ...

Step-by-step explanation:

The age of Barbra is 22 years.

The algebraic method for solving simultaneous linear equations is the substitution method. A quantity of one variable through one expression is replaced in the second equation, as the name implies.

Now, according to the question.

Let 'a' be the age of Alice.

Let 'b' be the age of Barbra

Let 'c' be the age of Carol.

The sum of age of all three sisters is 68 years.

Thus,  a + b + c = 68

Now, as Alice is three years younger than Barbra.

a = b - 3

and, Barbra is 5 years younger than Carol.

b = c - 5

c = b + 5

By substitution of values of a and c in total age.

(b - 3) + b + (b + 5) = 68

3b - 3 + 5 = 68

On solving the expression.

b = 22

Therefore, the age of Barbra is 22 years.

To know more about the method of substitution, here

https://brainly.com/question/26094713

#SPJ4

Using the formula of circumference of circle, the number of rotations is 1000

To determine the number of rotations the bicycle will make, we need to use the formula of circumference of a circle and then divide the distance covered per rotation by the total length of the road.

circumference of the wheel = 2πr

circumference = 2 * 3.14 * 0.4

circumference = 2.512m

The number of rotations required will be;

Number of rotations = 2512 / 2.512

Number of rotations = 1000

Learn more on circumference of a circle here;

https://brainly.com/question/12823137

#SPJ1

Answer:

113.1cm2

Step-by-step explanation:

looked it up

10z + 4

Distribute the parentheses, then add like terms

Answer:

Given the information above, the area of the square is 361 cm²

Step-by-step explanation:

A square is a shape with four equal sides. So, in order to find the area of the square, we must find the length of each individual side. We can do this by dividing the perimeter by 4 because a square has 4 equal sides meaning they have the same lengths.

The perimeter of the square is 76. So, let's divide 76 by 4.

76 ÷ 4 = 19

So, the lengths of each sides in the square is 19cm.

In order to find the area, we must multiply the length and the width together. Since a square has equal sides, then we will multiply 19 by 19 to get the area.

19 × 19 = 361

So, the area of the square is 361 cm²

Answer:

361 cm^2

Step-by-step explanation:

The area of a square can be found by squaring the side length.

\(A=s^2\)

A square has four equal sides. The perimeter is the sum of all four sides added together. Therefore, we can find one side length by dividing the perimeter by 4.

\(s=\frac{p}{4}\)

The perimeter is 76 centimeters.

\(s=\frac{76 cm}{4}\)

Divide 76 by 4.

\(s=19 cm\)

The side length is 19 centimeters.

Now we know the side length and can plug it into the area formula.

\(A=s^2\\s=19cm\)

\(A= (19 cm)^2\)

Evaluate the exponent.

(19cm)^2= 19 cm* 19cm=361 cm^2

\(A= 361 cm^2\)

The area of the square is 361 square centimeters.

Answer:

C (g) = 2.75g

Answer:

12) 45°

13) 125°?

14) SQR, RQS, and QSR

I am not sure about my answers, but I hope that you will finish your homework!

The difference quotient for the function is 8.

The function is given by:

f ( x ) = 8 x − 9, where h ≠ 0

To find f(a), substitute a for x in the function. So we have:

f ( a ) = 8 a − 9

To find f(a + h), substitute a + h for x in the function. So we have:

f ( a + h ) = 8 ( a + h ) − 9

The difference quotient can be found using the formula:

(f(a + h) - f(a))/h

Substituting the values found above, we have:

(8 ( a + h ) − 9 - (8 a − 9))/h

Expanding the brackets and simplifying, we have:

((8a + 8h) - 9 - 8a + 9)/h

= 8h/h

= 8

Therefore, the difference quotient for the function is 8.

To know more about difference quotient visit:

https://brainly.com/question/28421241

#SPJ11

Rose's number is 11 .

Let the number be x .

Now two times the number plus four:

2x + 4

Now three times the number minus seven:

3x - 7

The value from both the equation are same . so,

2x + 4 = 3x -7

Combine like terms to solve the equations,

4 + 7 = 3x- 2x

11 = x

Thus the number was 11 .

Know more about equations,

https://brainly.com/question/30141697

#SPJ4

The best measure of center is the mean

The are 20 students represented by the whisker

The percentage of classrooms with 23 or more is 25%

The percentage of classrooms with 17 to 23 is 50%

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

The box plot

There are no outlier on the boxplot

This means that the best measure of center is mean

Here, we calculate the range

So, we have

Range = 30 - 10

Evaluate

Range = 20

From the boxplot, we have

Third quartile = 23

This means that the percentage of classrooms with 23 or more is 25%

From the boxplot, we have

First quartile = 15

Third quartile = 23

This means that the percentage of classrooms with 17 to 23 is 50%

Read more about boxplot at

https://brainly.com/question/3473797

#SPJ1

To determine the number of ways to assign 7 volunteers to 7 booths for the charity bazaar, we can consider the concept of permutations. Since each volunteer must be assigned to a different booth, we are essentially permuting the volunteers among the booths.

The number of ways to arrange 7 volunteers into 7 distinct booths can be calculated using the factorial function. The factorial of a number n, denoted as n!, represents the product of all positive integers from 1 to n.

In this case, we have 7 volunteers and 7 booths, so we need to calculate 7!.

7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5,040

Therefore, the correct answer is C. There are 5,040 ways to assign 7 volunteers to 7 booths for the charity bazaar. Each arrangement represents a unique assignment of volunteers to booths, ensuring that each volunteer is assigned to a different booth.

It is worth noting that the factorial function grows rapidly as the number increases. In this case, with 7 volunteers and 7 booths, the number of possible arrangements is quite large.

To learn more about Factorial function - brainly.com/question/14938824

#SPJ11

Answer:

y

2

​

=−

2

z

​

+7

Steps for Solving Linear Equation

z=18−2×2−2y2

Multiply 2 and 2 to get 4.

z=18−4−2y

2

​

Subtract 4 from 18 to get 14.

z=14−2y

2

​

Swap sides so that all variable terms are on the left hand side.

14−2y

2

​

=z

Subtract 14 from both sides.

−2y

2

​

=z−14

Divide both sides by −2.

−2

−2y

2

​

​

=

−2

z−14

​

Dividing by −2 undoes the multiplication by −2.

y

2

​

=

−2

z−14

​

Divide z−14 by −2.

y

2

​

=−

2

z

​

+7

Step-by-step explanation:

the given equation defines a paraboloid that lies below the plane z=0. Specifically, it is situated above the xy-plane, which means that the z-values of all points on the surface are greater than or equal to zero.

we can break down the equation z=18-2x^2-2y^2. This equation represents a paraboloid with its vertex at (0,0,18) and axis of symmetry along the z-axis. The first term 18 is the z-coordinate of the vertex and the last two terms -2x^2 and -2y^2 determine the shape of the paraboloid.

Since the coefficient of x^2 and y^2 terms are negative, the paraboloid is downward facing and opens along the negative z-axis. Therefore, all points on the paraboloid have z-values less than 18. Additionally, since the paraboloid is situated above the xy-plane, its z-values are greater than or equal to zero.

the paraboloid defined by the equation z=18-2x^2-2y^2 is situated below the plane z=0 and above the xy-plane. Its vertex is at (0,0,18) and it opens along the negative z-axis.

To know more about paraboloid, visit:

https://brainly.com/question/30925041

#SPJ11

The completion of the table by rounding the numbers to the nearest 10, 100, 1,000, 10,000, 100,000, and 1,000,000 is as follows:

Rounded to      Numbers

the nearest       3,147,283     68,547        1,656,908         900,571​

10                      3,147,280     68,550         1,656,910        900,570

100                   3,147,300     68,500        1,656,900        900,600

1,000               3,147,000     69,000        1,657,000         901,000

10,000            3,150,000     70,000        1,660,000        900,000

100,000         3,100,000    100,000        1,700,000        900,000

1,000,000     3,000,000   0.068547     2,000,000     1,000,000

Rounding a number involves, making it simple and very close to its true value, sometimes, using zeros or scientific notations.

Rounding a number is also known as an approximation, which is an estimate before the actual calculation is carried out.

Rounded to      Numbers

the nearest       3,147,283     68,547       1,656,908        900,571​

10                      3,147,280     68,550        1,656,910        900,570

100                   3,147,300     68,500       1,656,900        900,600

1,000               3,147,000     69,000       1,657,000         901,000

10,000            3,150,000     70,000       1,660,000        900,000

100,000         3,100,000    100,000       1,700,000        900,000

1,000,000     3,000,000   0.068547    2,000,000      1,000,000

Learn more about rounding numbers at https://brainly.com/question/28707100

#SPJ1

Answer:

5/3

Step-by-step explanation:

1) The denominator will be multiply to the whole number to find the improper fraction. 3 (denominator) x 1 (whole number)

2) 1 plus 2 (numerator) equal 5

3) Always keep the denominator (3) for you improper fraction.

4) 5 will be the numerator and 3 will be the denominator.

5/3

SOLUTION

From the question, we have been told that the total calories is 100

Calories from fat is 10

Percent of fat becomes

Hence the answer is 10.0%

The solution of the given system of equations is x = -4, y = 5 and z = 2 is the answer.

The system of equations given below:x + 2y + 3z = 11;2x + 4y + 5z = 21;3x + 5y + 6z = 27.

Here, we will solve this system of equations using inverse of the matrix method as follows:

We can write the given system of equations in matrix form as AX = B where, A = [1 2 3; 2 4 5; 3 5 6], X = [x; y; z] and B = [11; 21; 27].

The inverse of matrix A is given by the formula: A-1 = (1/ det(A)) [d11 d12 d13; d21 d22 d23; d31 d32 d33]  where,

d11 = A22A33 – A23A32 = (4 × 6) – (5 × 5) = -1,

d12 = -(A21A33 – A23A31) = -[ (2 × 6) – (5 × 3)] = 3,

d13 = A21A32 – A22A31 = (2 × 5) – (4 × 3) = -2,

d21 = -(A12A33 – A13A32) = -[(2 × 6) – (5 × 3)] = 3,

d22 = A11A33 – A13A31 = (1 × 6) – (3 × 3) = 0,

d23 = -(A11A32 – A12A31) = -[(1 × 5) – (2 × 3)] = 1,

d31 = A12A23 – A13A22 = (2 × 5) – (3 × 4) = -2,

d32 = -(A11A23 – A13A21) = -[(1 × 5) – (3 × 3)] = 4,

d33 = A11A22 – A12A21 = (1 × 4) – (2 × 2) = 0.

We have A-1 = (-1/1) [0 3 -2; 3 0 1; -2 1 0] = [0 -3 2; -3 0 -1; 2 -1 0]

Now, X = A-1 B = [0 -3 2; -3 0 -1; 2 -1 0] [11; 21; 27] = [-4; 5; 2]

Therefore, the solution of the given system of equations is x = -4, y = 5 and z = 2.

know more about matrix method

https://brainly.com/question/32106604

#SPJ11