State whether the sentence is true or false. If false, replace the underlined term to make a true sentence.

The circumcenter of a triangle is equidistant from the vertices of the triangle.

Answers

Answer 1

The sentence is true.The circumcenter of a triangle is indeed equidistant from the vertices of the triangle. This property holds true and plays a fundamental role in the study of triangles and their associated circles.

The circumcenter of a triangle is a point that is equidistant from the vertices of the triangle. In other words, the distance from the circumcenter to each vertex of the triangle is the same.

To understand why this is true, let's consider the construction of the circumcircle of a triangle. The circumcircle is a circle that passes through all three vertices of the triangle. The center of this circumcircle is the circumcenter of the triangle.

By the properties of a circle, any point on the circumcircle is equidistant from the center of the circle. In the case of the circumcircle of a triangle, the circumcenter is the center of the circle, and the vertices of the triangle lie on the circle. Therefore, the circumcenter is equidistant from the vertices of the triangle.

This property of the circumcenter being equidistant from the vertices is useful in geometry and can be applied in various geometric constructions and proofs. It helps define and understand the relationship between the circumcircle and the triangle, providing insights into the geometry of triangles.

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Related Questions

A trapezoid has bases of lengths 14 and 21. Find the trapezoid's height if it's area is 245

Answers

Answer: 8575/2

Step-by-step explanation:

which number does NOT represent an integer? A. 3 B. 20.1 C. -10 D. 20/4​

Answers

Answer:

the number doesnt represent an integer?

A. 3

B. 20.1

C. -10

D. 20/4​

Step-by-step explanation:

We call integers the “counting numbers, their negatives and zero”. I.e.  0,1,−1,2,−2,3,−3,.. etc.

non-integers means “everything except integers”. Which is not well-defined (i.e. nonsense). Why? Because nobody said what “everything” is.

Therefore, when somebody says “non-integer” he has to specify how he defines “everything”. In this case, our “everything” is probably “real numbers”.

Real numbers have an interesting definition concerning an abstract mathematical object called “field” . Let’s forget about that and let’s focus on a high school definition: Real numbers are probably all the numbers you know. They are those represented by a decimal and their negatives e.g.  345.232…  and  −243.13242240…  where there are “infinitely many” digits at the end. Note that  2.5  is also a real number. Integers are too. Basically, real numbers are the numbers used to measure distances and their negatives.

To summirize, your answer is the following:

“non integers” means everything except the integers, where everything is defined however we want. The most common definition of everything in this case is “real numbers” and therefore the most common interpretation of “non integers” is “reals which are not integers”.

Examples of “reals which are not integers”:  1.5,2.88,1.3333…  etc

the answer is

B. 20.1

how would you compute the minimum number of semesters it would take a student to take all of the courses?

Answers

The math equation for this example would be 12 courses divided by 4 courses = 3 semesters.

The formula for computing the minimum number of semesters it would take a student to take all of the courses is calculated by dividing the total number of courses by the number of courses that can be taken in a semester. For example, if a student needs to take 12 courses, and the maximum number of courses that can be taken in a semester is 4, then the minimum number of semesters it would take the student to take all of the courses is 3 semesters. The math equation for this example would be 12 courses divided by 4 courses = 3 semesters. In order to determine the exact number of semesters it would take a student to take all of the courses, the total number of courses must be divided by the number of courses that can be taken in a semester.

The formula for calculating the minimum number of semesters it would take a student to take all of the courses is Total Number of Courses divided by Number of Courses that can be taken in a semester. For example, if a student needs to take 12 courses, and the maximum number of courses that can be taken in a semester is 4, then the minimum number of semesters it would take the student to take all of the courses is 3 semesters. The math equation for this example would be 12 courses divided by 4 courses = 3 semesters.

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in a different dimension, cows have $x 3$ legs, with $3$ toes on each leg. chickens have $2x-4$ legs, with $7$ toes on each leg. if your farm only has two cows and one chicken, what is the expression for how many animal toes there are in total (not including human toes)? give your answer in simplest form.

Answers

The expression for how many animal toes there are in total is 20x-10.

How to determine the expression for how many animal toes in total?

Since cows have x+3 legs, with 3 toes on each leg. Chickens have 2x-4 legs, with 7 toes on each leg.

If your farm has only two cows and one chicken, the expression for total number of toes will be:

total = 2*3*(x+3) + 1*7*(2x-4 )

total = 6(x+3) + 7(2x-4)

total = 6x+18 + 14x-28

total = 20x-10

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Complete Question

In a different dimension, cows have x+3 legs, with 3 toes on each leg. Chickens have 2x-4 legs, with 7 toes on each leg. If your farm has only two cows and one chicken, what is the expression for how many animal toes are there in total (not including yours)?

Can anyone please help?

Can anyone please help?

Answers

Answer:

11. 1520 mm.

12.  24 meters.

Step-by-step explanation:

11. To find the width of the rectangle, we can use the formula for the area of a rectangle:

Area = length x width

Substituting the given values, we get:

657,504 = 432 x width

Solving for width, we get:

width = 657,504 / 432

width ≈ 1520 mm

Therefore, the width of the rectangle is approximately 1520 mm.

12. To find the length of the base of the trapezoid, we can use the formula for the area of a trapezoid:

Area = (1/2) x (top + bottom) x height

Substituting the given values, we get:

150 = (1/2) x (6 + bottom) x 10

Simplifying, we get:

150 = 5(6 + bottom)

Dividing both sides by 5, we get:

30 = 6 + bottom

Subtracting 6 from both sides, we get:

bottom = 24

Therefore, the length of the base (bottom line) of the trapezoid is 24 meters.

In a rectangular coordinate system, what is the number of units in the distance from the origin to the point (7, -24)?

Answers

Answer:

25 units

Step-by-step explanation:

Distance Formula: \(d = \sqrt{(x2-x1)^2+(y2-y1)^2}\)

Our points: (0, 0) and (7, -24)

\(d = \sqrt{7^2+(-24)^2}\)

d = √(49+576)

d = √625

d = 25

Answer:

25

Step-by-step explanation:

You can also use the pythagorean theorem.

From  (0, 0) to (7, -24), one of the side lengths of the triangle is 24, and the other is 7.

Now we can use the pythagorean theorem with these numbers

\(7^2 +24^2=x^2\), and now we can solve these squares to get

\(49+576=x^2\\625=x^2\\\sqrt{625} = x\\\), So x = 25

Solve x2 + 10x = 24 by completing the square. What is the solution set of the equation? Show your work.

Answers

Answer:

32.6193819

Step-by-step explanation:

calulater never lies XD

Answer:

The answer should be: x=2,-12

which on your answer should backwards: {-12,2}

Step-by-step explanation:

This graph shows linear equations f(x) = x + 4 and g(x) = 5x. -6 4 -2 6 4₂ 2 4 -6+ f(x) g(x) EN 2 4 6 X Enter the solution to the equation f(x) = g(x).​

This graph shows linear equations f(x) = x + 4 and g(x) = 5x. -6 4 -2 6 4 2 4 -6+ f(x) g(x) EN 2 4 6

Answers

Therefore, the solution to the equation f(x) = g(x) is x = 1.

What is equation?

An equation is a mathematical statement that asserts the equality of two expressions. It typically involves one or more variables, which are unknown values that can be solved for using algebraic operations.

For example, the equation "x + 3 = 7" asserts that the expression "x + 3" is equal to the expression "7". By subtracting 3 from both sides of the equation, we can solve for the value of x, which is 4.

To find the solution to the equation f(x) = g(x), we need to set the two equations equal to each other and solve for x:

\(f(x) = g(x)\)

\(x + 4 = 5x\)

\(4 = 4x\)

\(x = 1\)

Therefore, the solution to the equation f(x) = g(x) is x = 1.

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(3׳+2y²)³



Ayudaaaaaaaaaaaa

Answers

Answer:

27x^9+54x^6y^2+36x^3y^4+8y^6

Step-by-step explanation:

(3+2y)Ayudaaaaaaaaaaaa

could you plz help me with this question?​

could you plz help me with this question?

Answers

Answer:

(a) t_n = 3n - 9

(b) t_16 = 39

Step-by-step explanation:

(a)

-3 - (-6) = -3 + 6 = 3

The common difference is 3.

t_1 = -6

t_2 = -6 + 3

t_3 = -6 + 3 + 3

t_4 = -6 + 3 + 3 + 3

t_n = -6 + 3(n - 1)

t_n = -6 + 3n - 3

t_n = -9 + 3n

t_n = 3n - 9

The formula is: t_n = 3n - 9

(b) t_16 = 3(16) - 9 = 48 - 9 = 39

Answer:

an = -6 + 3(n - 1)

a(16) = 39

Step-by-step explanation:

Explicit Formula: an = a1 + d(n - 1)

Our d (common difference) is +3

Our a1 (First term) is -6

To find a(16) (the 16th term), plug in 16 for n.

Find the area of a circle with diameter, d = 2m.
Give your answer in terms of pi

Answers

Answer:

A = π m²

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( r is the radius )

Here d = 2 , then r = 2 ÷ 2 = 1

A = π × 1² = π × 1 = π m²

a pile of sand is cone-shaped. if the radius of the base is 5 feet and the altitude is 8 feet 10 inches, how many cubic feet of sand is in the pile?

Answers

The cone shaped pile can hold 235.5 feet sand.

What is volume of cone ?

  One-third the sum of the area of the cone's circular base and its height is the formula for a cone's volume. Cones are described as pyramids with circular cross sections in terms of geometric and mathematical ideas. A cone's volume can be quickly determined by measuring the cone's height and radius.

Here radius of cone = 5 feet

Height of cone h = 8 feet 10 inches = 8+1 = 9 feet

Now volume of cone is

=> V = \(\pi r^2\frac{h}{3}\) cubic unit

=> V= 3.14* 25 * 3 = 235.5 cubic feet.

Hence the cone shaped pile can hold 235.5 feet sand.

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A circle has a radius of 2. What is the area of the circle. Round to the nearest tenth

Answers

Answer:

The area is 12.57, rounded to the nearest then is 13.

Step-by-step explanation:

A=πr2=π·22≈12.56637

2 divided by 1 full and 1
over 3

Answers

Answer:

4/6

Step-by-step explanation:

Answer:

2/1=2 1/3=.333333333333333

Step-by-step explanation:

write the equation of the circle in standard form calculator

Answers

The required answer is the (x - 2)^2 + (y + 3)^2 = 25

1.
Start by identifying the center of the circle. The center is represented by the coordinates (h, k), where h is the x-coordinate and k is the y-coordinate.

2. Determine the radius of the circle. The radius is the distance from the center to any point on the circle. It can be given directly or you may need to calculate it using the coordinates of two points on the circle.

3.
Once you have the center and radius, use the standard form equation of a circle, which is (x - h)^2 + (y - k)^2 = r^2. In this equation, (x, y) represents any point on the circle, (h, k) represents the center, and r represents the radius.

4. To input this equation into a standard form calculator,
  a. Enter the expression for the x-coordinate, (x - h)^2.
  b. Add the expression for the y-coordinate, (y - k)^2.
  c. Input the radius squared, r^2.
  d. Make sure the equation is in the form of (x - h)^2 + (y - k)^2 = r^2.

For example,  a circle with a center at (2, -3) and a radius of 5. To find the equation in standard form,

(x - 2)^2 + (y - (-3))^2 = 5^2

Simplifying further,

(x - 2)^2 + (y + 3)^2 = 25

This is the equation of the circle in standard form.

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Which of the following formulas which of the following formulas defines an arithmetic sequence?
a) tn = 5 + 14
b) tn= 5n² + 14
c) tn= 5n(n+14)
d) tn= 5n + 14

Answers

The correct formula that defines an arithmetic sequence is option d) tn = 5n + 14.

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms remains constant. In other words, each term can be obtained by adding a fixed value (the common difference) to the previous term.

In option a) tn = 5 + 14, the term does not depend on the value of n and does not exhibit a constant difference between terms. Therefore, it does not represent an arithmetic sequence.

Option b) tn = 5n² + 14 represents a quadratic sequence, where the difference between consecutive terms increases with each term. It does not represent an arithmetic sequence.

Option c) tn = 5n(n+14) represents a sequence with a varying difference, as it depends on the value of n. It does not represent an arithmetic sequence.

Option d) tn = 5n + 14 represents an arithmetic sequence, where each term is obtained by adding a constant value of 5 to the previous term. The common difference between consecutive terms is 5, making it the correct formula for an arithmetic sequence.

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Please help me !! would appreciate

Please help me !! would appreciate

Answers

The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

What is a quadrilateral?

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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If the tax rate is 8.3% what is the tax on 196.44

Answers

The tax on 196.44 is $ 16.30

Pls anyone help help help its 9th grade math help!!!!

Pls anyone help help help its 9th grade math help!!!!

Answers

The answer is 6.
Explanation: subtract exponents
6-4=2



Bryan gets on an elevator at the 35th floor. The elevator goes down 17 floors then up
floors. At what floor does it finally stop?

Answers

Answer:

19

Step-by-step explanation:

35-17 = 18 if up one more floor then 19

PLEASE LOOK AT PHOTO! WHOEVER ANSWERS CORRECTLY I WILL MARK BRAINIEST!!

PLEASE LOOK AT PHOTO! WHOEVER ANSWERS CORRECTLY I WILL MARK BRAINIEST!!

Answers

A - DB and BC
B - ABC and CBA
C - B

The random variable Y has a Y a Poisson distribution and is such that p(0) =P(1). What is p(2)? 0.005e-0.1 O 0.02e-0.2 None O 0.5e-1 O 0.125e-0.5

Answers

The probability p(2) is 0.125e-0.5(e).

Given, Y follows a Poisson distribution, and p(0) = P(1).

The probability mass function of Poisson distribution is given by:

P(Y = y) = (e^(-λ)*λ^y) / y!

Let p(0) = P(1) = a, then using the Poisson distribution's probability mass function, we get:

P(Y=0) = a = (e^(-λ)*λ^0) / 0! => a = e^(-λ)

Also, P(Y=1) = a = (e^(-λ)λ^1) / 1! => a = λe^(-λ)

Solving these two equations, we get λ=1, and hence a = e^(-1).

Now, to find p(2), we can use the Poisson distribution's probability mass function and substitute λ=1:

P(Y=2) = (e^(-1)*1^2) / 2! = 0.125e^(-0.5)

Therefore, p(2) is 0.125e^-0.5(e).

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HELP ME!

a/7 - 2/3 = 5/6

Answers

Answer:

a=10.5

Step-by-step explanation:

what is a linear system with fewer equations than unknowns?

Answers

Infinitely many solutions exist for a system with fewer equations than unknowns, yet there may be none. An underdetermined system is one that operates in this manner.

What in mathematics is a linear system?

A collection of one or more linear equations involving the same variables is known as a system of linear equations (or linear system) in mathematics.

                          Equations with unknowns or variables that have powers of one are known as linear equations. Because the variables x, y, and z are linear, for instance, 3x - 4y + 5z = 3 is a linear equation, however xy + 3z = 7 is not because the phrase xy is a product of two variables.

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Assume that A and Bare n×n matrices with det A= 5 and det B=-3. Find the indicated determinant. det(5B^T) det(7B^T) =

Answers

The Determinant of the product of \(5B^T and  7B^T is  (35)^n * 9\).

We are given that A and B are n×n matrices with det A = 5 and det B = -3. We need to find the determinant of the product of \(5B^T\) and \(7B^T\) , which is \(det(5B^T)\) * \(det(7B^T)\).

First, let's find the determinant of \(5B^T\). We know that \(det(B^T)\) = det(B), and det(B) = -3.

Therefore, \(det(5B^T) = 5^n\) * \(det(B^T) = 5^n\) * (-3), where n is the dimension of the matrix.

Next, we find the determinant of \(7B^T\).

Similarly, \(det(7B^T) = 7^n * det(B^T) = 7^n * (-3)\).

Now, we multiply these determinants to find the determinant of the product:
\(det(5B^T) * det(7B^T) = (5^n * (-3)) * (7^n * (-3)) = (5^n * 7^n) * (-3)^2 = (5*7)^n * 9.\)

So, the determinant of the product of \(5B^T\) and \(7B^T\) is \((35)^n * 9\).

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What is the probability that a test correctly rejects a false null hypothesis​ called?.

Answers

Power is the probability that a test correctly rejects a false null hypothesis​.

What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes—how likely they are—whenever we're uncertain of how an event will turn out.

Power is inversely related to the probability of making a type 2 error (β) which is rejecting the alternative hypothesis when it is true.

The equation of power is:

Power=1-β

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4 Measures of central tendency show how data has a tendency to move away from the center True False QUESTION 5 Measures of central tendency measure the center of the data True False QUESTION 6 "Inferential" statistics means studding a population to make inferences about its smaller units like a sample True False

Answers

The sentences are 4 = false, 5 = true and 6 = false.

4 = False: Measures of central tendency, such as the mean, median, and mode, actually show the center or average of a set of data.

They do not provide information about how the data tends to move away from the center.

Measures of dispersion, such as the standard deviation or range, are used to assess the spread or variability of the data.

5 = True: Measures of central tendency are used to determine the center or typical value of a dataset.

The mean, for example, calculates the average of all the data points, while the median represents the middle value when the data is arranged in ascending or descending order.

The mode identifies the most frequently occurring value.

6 = False: "Inferential" statistics involves making inferences or drawing conclusions about a population based on information obtained from a sample.

It uses probability theory and sampling techniques to generalize findings from a smaller group (sample) to a larger group (population).

In essence, inferential statistics allows researchers to make educated guesses or predictions about a larger population based on the information gathered from a representative sample.

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A circular park is 1/3 mile long. Mr. M walks on this track, completing each lap in
1/12 of an hour. What is Mr. M's walking speed? Include the unit of measure.

Answers

Answer:

1.7 m/s

Step-by-step explanation:

1/3 mile = 536 m

1/12 hour = 5 minutes = 300 second

volecity = s/t = 536 / 300 = 1.7 m/s

9514 1404 393

Answer:

  4 miles per hour

Step-by-step explanation:

Speed is the ratio of distance to time:

  speed = miles/hours = (1/3)/(1/12) = (4/12)/(1/12) = 4/1 = 4

Mr. M's walking speed is 4 miles per hour.

Assuming the weights are in kilograms, what is the mystery weight of y? use the equation you created in part a to find the solution. type the correct answer in the box. use numerals instead of words. if necessary, use / for a fraction bar.

Answers

The equation which we have created showing relationship between weights of both sides has a solution of y=1/2.

Given weight on one end is y+y+y+1+1+1 and weight on other end is y +y+ y+ y+2 where y is mystery weight.

We have to first form an equation.

If we see the figure we can notice that both sides are equal to other, it means the weight of both ends are equal to each other.

Equation is relationship between two or more variables expressed in equal to form. It is solved to find the value of variables. Equation of two variables look like ax+ by=c.

y+y+1+1+1=y+y+y+y+2

2y+3=4y+2

2y-4y=2-3

-2y=-1

y=1/2

Hence the solution of the equation a showing relationship between weights on both ends is y=1/2.

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Question is incomplete as it should include the given figure.

Assuming the weights are in kilograms, what is the mystery weight of y? use the equation you created

What is the common ratio between successive terms in the sequence?
27, 9, 3, 1.7.
27
O-3
عد اس مراس
01/1/0
O 3

Answers

Answer:

hold up

Step-by-step explanation:

عد اس مراس whats this mean??

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