Are these equivalent? Please help!

The values of {x} would be 38.1 units.

According to the Pythagoras theorem, we can write -

(hypotenuse)² = (base)² + (perpendicular)²

Given is a right angled triangle JKL.

We can solve for {x} using the cosine function as -

cos(27) = 34/x

x = 34/cos(27)

x = 38.1 units

Therefore, the values of {x} would be 38.1 units.

To solve more questions on right angled triangle, visit the link below -

https://brainly.com/question/12722092

#SPJ1

The first interval which would most clearly and simply show the distribution of this data include the following: B. 0 – 10.

A class width can be defined as the difference between the upper (maximum) and lower (minimum) boundaries of any class in a data set. This ultimately implies that, all classes must all have the same width in a frequency distribution table or histogram.

Mathematically, the class width of a data set can be calculated by using this formula:

Class width = max - min

Where:

Based on the data set provided above, the most appropriate class width or interval is given by;

Class width = 0 to 10

In conclusion, 0 to 50 would produce two rectangular bars while 0 to 100 is too big an interval.

Read more on histogram here: brainly.com/question/30194859

#SPJ1

Complete Question:

The data set {7, 20, 51, 6, 30, 72, 31, 84, 28, 77, 98} is to be represented by a histogram. Which first interval would most clearly and simply show the distribution of this data?

0–5

0–10

0–50

0–100

The equation can be used to find the measure of an angle that is supplementary to EOF is  B  m ∠EOF + m ∠EOD = 180

What are Supplementary angles ?

Supplementary angles are the ones angles that sum as much as a hundred and eighty degrees. for instance, angle one hundred thirty° and attitude 50° are supplementary angles because sum of a hundred thirty° and 50° is identical to one hundred eighty°. similarly, complementary angles add up to 90 levels. the two supplementary angles, if joined together, form a straight line and a directly attitude.

however it ought to be mentioned that the two angles which can be supplementary to each different, do not need to be next to each other. as a result, any angles can be supplementary angles, if their sum is equal to a hundred and eighty°.

Given ,

To find the measure of an angle that is supplementary to EOF .

So, from given figure

we can say that ,

B m∠EOF + m∠EOD = 180

Hence, The equation can be used to find the measure of an angle that is supplementary to EOF is B  m ∠EOF + m ∠EOD = 180

To learn more about Supplementary angles from given link.

https://brainly.com/question/18164299

#SPJ1

The average rate of change of the function p(θ) over the interval [1,2] is 0.

The average rate of change of a function over an interval is given by the slope of the secant line that connects the two points on the function at the endpoints of the interval.

For the function p(θ)=θ^3−5θ^2 + 6θ and the interval [1,2], the average rate of change can be calculated as:

(p(2) - p(1)) / (2 - 1) = ((2^3 - 5 × 2^2 + 6 × 2) - (1^3 - 5 × 1^2 + 6 × 1)) / (2 - 1) = ((8 - 20 + 12) - (1 - 5 + 6)) / (2 - 1) = (0) / (1) = 0.

So, the average rate of change of the function p(θ) over the interval [1,2] is 0.

To know more about average rate of change, here

https://brainly.com/question/29067951

#SPJ4

The "countTeams" function is an efficient solution for the chess tournament problem for HackerRank employees.

The function "countTeams" is a program designed to solve a chess tournament problem for HackerRank employees. The problem involves finding the number of teams that can be formed from a group of n employees, where each employee has a unique rating.

The program takes in two parameters, n (the number of employees) and an array of ratings.

Additionally, there are q queries, each of which ask for the number of teams that can be formed considering employees with specific IDs.

The function must then calculate and return the number of teams that can be formed in each query.

The function works by first initializing a dictionary to store the frequency of each rating in the given array. Then, for each query, it loops through the ratings of the employees with the given IDs and adds the frequency of the rating to a counter.

Finally, the counter is divided by 2 to give the number of teams that can be formed with employees with the same rating.

To know more about function here.

https://brainly.com/question/28193995

#SPJ4

The amount of money received from the sale of x units of the product can be represented by the following equation:

Revenue = 55 * x, where 55 is the price per unit and x is the number of units sold.

A linear equation is an algebraic equation with simply a constant and a first-order (linear) component of the form y=mx+b, where m is the slope and b is the y-intercept. The above is sometimes referred to as a "linear equation with two variables," where y and x are the variables.

Ax+By=C is the typical form for linear equations in two variables. 2x+3y=5, for example, is a simple linear equation. It is rather simple to get both intercepts when an equation is stated in this way (x and y).

For more questions on Linear Equation

https://brainly.com/question/2030026

#SPJ4

The volume of the cone is 600 cubic inches.

A cylinder has a volume of 600 inches.

We have to find the volume of a cone with the same radius and height as the cylinder.

Volume of cone: A cone is a pyramid with a circular cross-section. A right cone is a cone with its vertex above the center of the base. It is also called right circular cone.

Where,

‘r’ is the base radius of the cone

‘l’ is the slant height of a cone

‘h’ is the height  of the cone.

Volume of cylinder:  A cylinder can be seen as a collection of multiple congruent disks, stacked one above the other. Thus, the volume of the cylinder can be given by the product of the area of base and height.

Where,

‘r’ is the base radius of the cylinder.

‘h’ is the height of the cylinder.

Volume of cylinder=[tex]\pi r^{2} h[/tex]=600 cubic inches.

Volume of cone= [tex]\frac{1}{3}\pi r^{2} h[/tex].

=[tex]\frac{1}{3}*(600)=200[/tex] cubic inches.

Therefore, the volume of the cone is 600 cubic inches.

For more such questions on volumes of cones.

https://brainly.com/question/29767724

#SPJ4

For given triangle ABC, the measurement DC will be 90m.

With three sides and three vertices, triangles are a particular type of polygon in geometry. It has three straight sides and is a two-dimensional figure. As a 3-sided polygon, a triangle is included. Three triangle angles added together equal 180 degrees. In one plane, the triangle is contained. The triangle can be categorised into six different types based on its sides and angle measurements.

Triangles can be divided into 3 categories according to their sides, including:

Triangle with scalene dimensions: Each side has a different size.

Triangle with an isosceles shape, in which two of the sides have the same length and the third side is shorter.

All three of a triangle's sides have the same length, or equilateral triangle.

Now for given triangle ABC,

ad² +bd² =ab²  by Pythagoras theorem

ab² =10² +30²

ab² =1000

ab=10√10

and

bc² =cd^2+bd²   by Pythagoras theorem

and also b² =ac² -ab²  by Pythagoras theorem

Therefore,

cd² +bd² =ac² -ab²

cd² +30² =(10+cd)² -1000

cd² +900+1000=100+cd² +20cd

20cd=1800

cd=90m

Hence, For given triangle ABC, DC will be 90m.

To know more about triangles visit the link

brainly.com/question/2773823

#SPJ1

Answer:

76.5

Step-by-step explanation:

0.45*170 = 76.5

Cool.

Answer:

Step-by-step explanation:

4x -3(x-2y) + (1/2)(6x -8y)

Let's distribute...

4x-3x+6y+3x-4y

Let's combine like figures...

(4x-3x+3x)+(6y-4y)

4x+2y

In a triangle, The value of x is, 40°

And, The value of y is, 50°

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

The triangle is show in figure.

We know that;

In a triangle, the pair of two opposite sides are equal then there corresponding angles are also equal.

Now, By figure we can formulate;

⇒ x + x + 100 = 180

Solve for x;

⇒ 2x + 100 = 180

⇒ 2x = 180 - 100

⇒ 2x = 80

⇒ x = 40

Thus, The value of x = 40°

And, We get;

⇒ x° + y° + 90° = 180°

⇒ 40 + y + 90 = 180

⇒ y + 130 = 180

⇒ y = 180 - 130

⇒ y = 50°

Thus, The value of y = 50°

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ1

Answer:

The missing number is 6.

Step-by-step explanation:

Answer:

Guess and Conjecture is the answers that apply.

Also known as B. and C.

Bill has a greater percentage of his math problems than kenji.

What is percentage ?

Percentage can be defined as the product of ratio of given value, total value and hundred.

Given ,

During study hall, Kenji finished 2 out of 8 problems from his math homework. Bill did 1 out of 3 problems from his math homework.

SO,

Kenji percentage  =  2 / 8 * 100

= 1/4  * 100

= 25

Bill percentage = 1/3  * 100

= 33.33

so, the percentage of bill is more than Kenji.

Therefore, Bill has a greater percentage of his math problems than kenji.

To learn more about Percentage from given link.

https://brainly.com/question/29967647

#SPJ1

Other points that are on line f will also be solutions to the linear system. Therefore, option 4 is the correct answer.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Given that, graph lines f and g on the same coordinate plane and they intersect at point (4, 5).

When two lines intersect at (4, 5), then the point is the solution of system of  linear equations.

When substitute x=4 and y=5 in the system of equations, both the equations will be true.

Therefore, option 4 is the correct answer.

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

#SPJ1

Scatterplot provides a visual representation of the relationship between two variables and can be used to determine the strength and type of relationship between them.

The scatterplot is a useful tool for analyzing the relationship between two variables. In this scatterplot, each point represents a single data point (i.e. a grade for a student). The x-axis represents the discrete math course grade, and the y-axis represents the business calculus course grade.

From the scatterplot, it is possible to determine if there is a positive, negative, or no relationship between the two variables. A positive relationship means that as the value of x increases, the value of y also increases.

A negative relationship means that as the value of x increases, the value of y decreases. And no relationship means that there is no correlation between the two variables.

It is also possible to determine the strength of the relationship between the two variables by looking at the distribution of the points.

A tight cluster of points indicates a strong relationship, while a more dispersed scatter of points indicates a weaker relationship.

Complete Question:

The relationship between discrete math course grade x and business calculus course grade y I represented by the scatterplot

To know more about scatterplot here.

https://brainly.com/question/30017616

#SPJ4

Answer: -8

Step-by-step explanation:

Perpendicular bisectors of a triangle's sides meet at the circumcenter. It is situated at the equator of a triangle.

The circumcenter is where the perpendicular bisectors of a triangle's sides meet. It is located in the middle of a triangle's perimeter. Draw the perpendicular bisectors of the sides and extend them to determine the circumcenter of any triangle. The circumcenter of the triangle will be determined by where the perpendiculars cross.

Here,

Given : (1, 10), (-5, 2), and (7, 2).

=> Perimeter of given triangle is:6

=> √(6)² + (8)² = √100 = 10

=>√(12)² = 12

=> √(6)² +(-8)² = 10

Perimeter = 10+ 12+ 10 = 32

The orthocenter is the location where the altitudes traced from a triangle's vertices intersect.

The place where the triangle's three elevations converge is known as the orthocenter. A line that goes through the triangle's vertices and is parallel to the other side is said to be an altitude. A triangle's orthocenter is the intersection of the perpendiculars that connect its vertices to its two sides.

To learn more about Perpendicular refer to:

brainly.com/question/11972451

#SPJ1

Ratios and proportions are the mathematical idea that proves to be most useful when dealing with probabilities. . Calculating probabilities and making judgments based on them require this understanding.

Working with probability requires the use of ratios and proportions. We can compare two different items using ratios and proportions to determine how they relate to one another in terms of size or value. For instance, if we are aware of the proportions of automobile owners and non-owners within a given age group, we can use this information to determine the likelihood that a randomly chosen member of that age group will be a car owner. Calculating the likelihood of separate events can also be done using ratios and proportions. For instance, if we know that the likelihood of one event happening is x and the likelihood of another.

Learn more about probability here

https://brainly.com/question/30034780

#SPJ4

Answer: (0,-15/7)

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

7x + 14y = -30     re-arrange to get y = mx + b form    b is y -intercept

14y = - 7x - 30      divide by 14

   y = -1/2x - 30/14          then b = -30/14 = -  2 1/7      (or -15/7)

Answer: The probability is 50%.

Step-by-step explanation: The probability that both are girls if the older child is a girl can be calculated through probability. First, we know that there are two genders the child can be, male or female. When we have 2 possible outcomes, the probability of each outcome is 50%. We know the first child is a girl, and that the second child has a 50% chance of being a girl, so the probability is 50%.

Salut/Hello!

Answer: 16,(6)% and it's a decrease

Step-by-step explanation:
/ - fraction line

initial records = 120
after selling = 100
=> records sold = 120 - 100 = 20

We know that:
100% = 120/100 => 1% = 1.2/100
120 - 100 = 20

So we can find: 20 : 1.2 = 16,(6)%
Because 5% = 6 and 6 : 1.2 = 5%

So by knowing the amount of records sold and the percentage per record we divide them and find out the percentage of records sold.

I hope it'll be useful! :]

The correct answer is option A. The boat should travel 12 kilometers in 3 hours.

Since the boat will travel a total distance of 20 kilometers during the 5-hour tour, and the speed is constant, we can calculate the average speed of the boat by dividing the total distance by the total time: 20 kilometers / 5 hours = 4 kilometers per hour.

To find the distance the boat should travel in 3 hours, we multiply the average speed by the time: 4 kilometers per hour * 3 hours = 12 kilometers.

In summary, the boat should travel 12 kilometers in 3 hours because the average speed is 4 kilometers per hour and the time is 3 hours.

Learn more about Speed and Distance here:

https://brainly.com/question/4931057

#SPJ4

The measure of ∠BDC = 79°

Option B is the correct answer.

A circle is a two-dimensional figure with a radius and circumference of

2 x pi x r.

The area of a circle is given as:

We have,

∠BDC = (BC + AT) / 2

∠BDC = (95 + 63) / 2

∠BDC = 158 / 2 = 79°

Thus,

∠BDC = 79°

Learn more about circle here:

https://brainly.com/question/11833983

#SPJ1

Answer:

Step-by-step explanation:

The shaded portion in the figure is a quarter-circle with a radius of half the side length of the square, or 10/2 = 5 units.

The area of a circle can be calculated using the formula:

A = πr^2

Where r is the radius and π is pi (approximately equal to 3.14).

So the area of a quarter-circle with a radius of 5 is:

A = (π * 5^2) / 4 = (π * 25) / 4 = 25π / 4

This is the area of the shaded portion in the figure.

Answer:

Perpendicular

Step-by-step explanation:

They appear to be perpendicular when inputted on Desmos

Answer: neither

Step-by-step explanation: If two non-vertical lines that are in the same plane has the same slope, then they are said to be parallel. Two parallel lines won't ever intersect. If two non-vertical lines in the same plane intersect at a right angle then they are said to be perpendicular

Answer:

0.9

Step-by-step explanation:

0.27 / 0.3

Divided by 0.3, and you get the answer of 0.9

If you can, please give me a Brainliest; thank you!

Answer:

the answer is 0.9

Step-by-step explanation:

treat it like a regular math problem, 27 divided by 3. then put the decimal where it should be.

mark me brainliest ! xx

The simplified expression is 3.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

[ 5/(x - 3) - 5/(x + 3) ] / 10/(x² - 9)

= [ {5(x + 3) - 5(x - 3)} / (x + 3)(x - 3) ] x (x² - 9)/10

 Using [ (a² - b²) = (a + b) (a - b) ]

= [(5x + 15 - 5x + 15) / (x + 3)(x - 3)] x [(x - 3)(x + 3) / 10]

= (5x + 15 - 5x + 15) / 10

= 30/10

= 3

Thus,

The value of the expression is 3.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1