The area of the triangle with the given vertices is given as follows:
25.16 units squared.
How to obtain the area of a triangle?The area of a rectangle of base b and height h is given by half the multiplication of dimensions, as follows:
A = 0.5bh.
The length of the base AB is given as follows:
\(b = \sqrt{(6 - 0)^2 + (5 - 8)^2}\)
b = 6.71 units.
The midpoint of the base AB is given as follows:
M(3, 6.5) -> mean of the coordinates).
The height is the distance between M and C, hence:
\(h = \sqrt{(3 - (-3))^2 + (6.5 - 2)^2}\)
h = 7.5 units.
Hence the area is given as follows:
A = 0.5 x 6.71 x 7.5
A = 25.16 units squared.
More can be learned about the area of a triangle at brainly.com/question/21735282
#SPJ1
ј
m
4
3
12 9
20
15
Write an equation to describe the relationship
between j and m.
Answer:
Step-by-step explanation:
M = ¾J
If you look at the numbers M is always 3/4 of J so the equation is M = ¾J
HOPE IT HELPED YOUBarry wants to buy chickens. He has enough room for up to 12 chickens. Each hen costs $5 and each rooster costs $6. Barry doesn't want to spend more than $50. Write a system of inequalities to represent this scenario where x represents the number of hens and y represents the number of roosters.
The system of inequalities to represent this scenario for Barry will be:
x + y = 12
5x + 6y ≤ 50
What is an inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
Let x represents the number of hens.
Let y represents the number of roosters.
The inequality will be:
5(x) + 6(y) ≤ 50
5x + 6y ≤ 50
Learn more about inequalities on:
brainly.com/question/25275758
#SPJ1
Select the scenario which is an example of simple random sampling.
a.An international airline wants to study the demand for its services. They group their destinations into regions, randomly select 20
of these regions, and study every destination in each of the selected regions.
b.A newspaper article focuses on local public health initiatives. At the end of the article, the author asks readers to send in their opinion on smoking in public areas.
c.A supermarket wants to study the buying habits of its customers. They choose every 20th customer entering the supermarket to fill out the survey.
d.College administration wants to conduct a survey to determine the demand for an insurance program at the college. Students are selected randomly from the college and mailed a questionnaire.
The scenario that is an example of simple random sampling is option C: "A supermarket wants to study the buying habits of its customers. They choose every 20th customer entering the supermarket to fill out the survey."
Simple random sampling is a method of selecting a sample from a population in which every member of the population has an equal chance of being chosen.
In option C, the supermarket chooses every 20th customer entering the store, which ensures that each customer has an equal chance of being selected. Therefore, this is an example of simple random sampling.
Options A, B, and D do not meet the criteria for simple random sampling, as they involve selecting specific regions, asking for opinions from readers, or mailing questionnaires to students, which does not ensure that every member of the population has an equal chance of being selected.
Learn more about Simple random sampling here: https://brainly.com/question/30391235
#SPJ11
Which train is going faster?
Train C is going
90 centimeters in
15 seconds
Train D is going
3 meters in
1 minute
Answer:
Step-by-step explanation:
Train D I believe
in the context of big data, ______ relates to changes in meaning.
Semantics is the branch of linguistics that explores how meaning is conveyed through language. In the context of big data, it refers to the changes in the interpretation of data and how it can be used to yield meaningful insights.
Semantics is a branch of linguistics that deals with the study of meaning in language. In the context of big data, semantics relates to how data is interpreted and how it can be used to gain meaningful insights. Semantic analysis looks at the context of data and how it changes in meaning over time. This analysis helps to understand how the data can be used to make decisions, solve problems, and improve processes. Semantic analysis also helps to identify trends, relationships, and patterns in data that can be used to formulate decisions, plans, and strategies. By understanding the changes in meaning, organizations can use the data to make more informed and accurate decisions.
Learn more about Semantics here
https://brainly.com/question/29051278
#SPJ4
Select all the Intervals where f is increasing
A) -3
B) -1
C) 3.5
D) None of the above
Answer:
-3<x<-2
And
3.5<x<4.5
Step-by-step explanation:
Determine whether the series is convergent or divergent. 3^(n+1)4^-n If it is convergent, find its sum.
Geometric series is convergent if the |r|<1 where r is the common ratio.
Let Sn=∑ni=0(−3/4)i then
Sn=(−3/4)n+1−1(−3/4)−1
Now take n→∞ then
Sn→0−1(−3/4)−1=4/7
because |−3/4|<1 and so (−3/4)n→0. Now note that your sum is
lim ∑i=1n+1(−3)i−14i=lim 14∑i=1n+1(−3)i−14i−1=1/4.lim Sn=1/7.
Geometric series: A geometric series is the result of adding together geometric sequences indefinitely. Depending on the sequence given to us, such infinite sums can either be finite or infinite. A series is considered to be convergent if the partial sums gravitate to a certain value, also known as a limit. In contrast, a divergent series is one whose partial sums do not reach a limit. Divergent series frequently reach, reach, or avoid a particular number.
know more about geometric series here
https://brainly.com/question/4617980#
#SPJ4
Solving quadratic equations by completing the square.
This method of completing the square can be used to solve any quadratic equation, even if the coefficients a, b, and c are not whole numbers.
Completing the square is a method used to solve quadratic equations in the form of ax^2 + bx + c = 0, where a, b, and c are constants. To use this method, follow these steps:
1. Move the constant term (c) to the other side of the equation, so that you have ax^2 + bx = -c.
2. Divide both sides of the equation by the coefficient of the x^2 term (a), so that you have x^2 + (b/a)x = -c/a.
3. Take half of the coefficient of the x term (b/a), square it, and add it to both sides of the equation, so that you have x^2 + (b/a)x + (b/2a)^2 = (b/2a)^2 - c/a.
4. Simplify the left side of the equation by factoring it as (x + b/2a)^2.
5. Take the square root of both sides of the equation, remembering to include both the positive and negative square roots.
6. Solve for x by subtracting b/2a from each side of the equation.
This method of completing the square can be used to solve any quadratic equation, even if the coefficients a, b, and c are not whole numbers. It is a useful tool to have in your mathematical toolbox, as it can simplify complicated equations and help you find the solutions you need.
Visit here to learn more about quadratic equation brainly.com/question/30098550
#SPJ11
dont add any link or you'll get reported
Answer:
B
Step-by-step explanation:
Area = length x width
Total surface area
=2(8*3) + 2(10*3) + 2(10*8)
=48+60+160
=268
Menus The local diner offers a meal combination consisting of an appetizer, a soup, a main course, and a dessert. There are six appetizers, five soups, five main courses, and six desserts. Your diet restricts you to choosing between a dessert and an appetizer. (You cannot have both.) Given this restriction, how many three-course meals are possible
The three-course meals that are possible are 300.
To calculate how many three-course meals are possible, we need to calculate the total number of options. Since, you cannot have both dessert and appetizer, you have two options for the first course. Let's consider both these cases separately.
Case 1: Dessert
For the first course, there are six dessert option. After choosing a dessert, you are left with five soup option and five main course option. In this case, number of three-course meals possible are 6 * 5 * 5 = 150.
Case 2: Appetizer
For the first course, there are six appetizer option. After choosing an appetizer, you are left with five soup option and five main course option. In this case, number of three-course meals possible are 6 * 5 * 5 = 150.
Therefore, by adding up both the possibilities from both the cases, we have a total of 150 + 150 = 300 three-course meals possible.
To study more about Possibilities:
https://brainly.com/question/25870256
I need help with this question
Answer:
the answer is C should be
Step-by-step explanation:
the answer is C should be, I'm in middle school btw
Write the phrase as an expression.
5 less than 8.
An expression is (answer)
Answer:
The answer is 5 < 8
Step-by-step explanation:
The sign < means less than.
So you write it was 5 < 8 because 5 is lesser than 8.
Karen buys candy that cost $5 per pound. She will spend more than $35 on candy. What are the possible numbers of pounds she will buy?
A rectangular swimming pool measures 7.5 m by 4.5 m. It is completely surrounded by a fence parallel to each edge of the pool and at a distance of 3 m from each edge of the pool.
Calculate the total length of the fence.
The total length of the fence is 48 m if the rectangular swimming pool measures 7.5 m by 4.5 m.
What is rectangle?It is defined as the two-dimensional geometry in which the angle between the adjacent sides are 90 degree. It is a type of quadrilateral.
It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
It is given that:
A rectangular swimming pool measures 7.5 m by 4.5 m.
It is completely surrounded by a fence parallel to each edge of the pool and at a distance of 3 m from each edge of the pool.
The total length of the fence = 2(7.5+3×2 + 4.5+3×2)
The total length of the fence = 2(7.5+6 + 4.5+6)
The total length of the fence = 2(24)
The total length of the fence = 48 m
Thus, the total length of the fence is 48 m if the rectangular swimming pool measures 7.5 m by 4.5 m.
Learn more about the rectangle here:
https://brainly.com/question/15019502
#SPJ1
a flat for sale sign has a perimeter of 58 inches. the length is 5 inches longer than the width. what is the width?
Answer:
25 inches
Step-by-step explanation:
1. Information that is needed to solve the problem;
The formula for the perimeter is:
2(a+b) = P
where "a" is the length and "b" is the width.
2. Solving the problem;
Substitute the given values into the formula;
2( 5 + b ) = 58
Inverse operations;
2 ( 5 + b ) = 58
/2 /2
5 + b = 29
-5 -5
b = 25
PLS HELP ITS URGENT I HAVE LIKE A COUPLE QUESTIONS LEFT IM STUCK ON THIS
Answer: 3\(i\)
Step-by-step explanation: The reason for this is because \(i\) =
\(\sqrt{-1}\), and when \(\sqrt{-1}\) is multiplied to \(\sqrt{9}\), it becomes \(\sqrt{-9}\). Since \(\sqrt{9}\) can be simplified to 3, we can just multiply \(i\) to 3. This becomes 3\(i\).
Hope this helped!
Answer:
3i
Step-by-step explanation:
7.69 - (2.5)(4) . What is the answer
What is the volume of a cylinder with a height of 6.8 ft and a base with a radius of 9.4 ft, to the nearest tenth of a cubic foot?
Answer:
1887.6 ft³
Step-by-step explanation:
What is the volume of a cylinder with a height of 6.8 ft and a base with a radius of 9.4 ft, to the nearest tenth of a cubic foot?
The formula for the volume of a cylinder is given as:
πr²h
From the above question,
r = 9.4 ft
h = 6.8 ft
The volume of the cylinder =
π × 9.4² × 6.8
= 1887.61966 ft³
Approximately = 1887.6 ft³
On a distant planet, a ball is thrown upwards from ground level, reaching a maximum height of 12m and hitting the ground again in eight seconds. Determine a quadratic equation in the form ax^2 + bx^2+c = 0 that could be used to calculate when the ball is at a height of 3m. Do not solve the equation.
Answer:
(-3 ÷ 4)x^2 + 6x
Step-by-step explanation:
Data mentioned in the question
Maximum height = 12m
Number of seconds = 8
Height = 3m
Depend on the above information, the quadratic equation is shown below:
As it took 8 seconds to hit the maximum altitude and it reverted to the ground floor, this graph also reflects the motion in parabola after 4 seconds, so that the a must be negative
Now it is given that
a × x ^ 2 + bx + c =0
We can considered that
x = 0
x = 8
As {0.8} are intercepts of x
When x = 0, then it is
a × 0 ^ 2 + b(0) + c = 0 .................... (i)
Hence 0 = 0
Now x = 8, it is
a × 8 ^ 2 + b(8) + c = 0
Hence a(8)^2 + b(8) + c = 0 ..................(ii)
As it can be seen that in the first equation c must be zero
Whereas the second equation is
64a + 8b = 0
i.e.
8a = -b or a = -b ÷ 8
Now according to the quadratic function, it presented
(-b ÷8)x^2 + bx + 0
So, the parabola vertex is (4, 12)
Now place this in the place of a
(-b ÷ 8)(4)^2 + b(4) = 12
And for calculating this b, all terms must be multiplied by 8
That appears
-b(16) + 32b = 96
16b = 96
So, b = 6.
As a = -b ÷8
a = -6 ÷ 8
a = -3 ÷4
So, the equation is
= (-3 ÷ 4)x^2 + 6x
Hence, this is the equation
the glitz jewelry kit contains round beads in 6 different colors plus 100 star-shaped beads. there are 250 beads in all. which equation can you use to find r, the number of round beads in each color?
The number of round beads in the glitz jewelry kit are 25
What is an equation?An equation is the equality between two algebraic expressions, which have at least one unknown or variable.
Let x be the number of round beads in the glitz jewelry kit. Then the equation is written as,
6x + 100 = 250
Simplify the equation, then the value of 'x' is given as,
6x + 100 = 250
6x = 250 - 100
6x = 150
x = 150/6
x = 25
The number of round beads there in each color will be 25.
Learn more about equation at: brainly.com/question/2972832 and brainly.com/question/27815607
#SPJ4
In music theory, a musical chord is named according to its roots, or its first root. by knowing the root of a chord, a musician can find the rest of the notes in a chord. how are the roots of chords similar to roots of polynomial functions?
The roots of a polynomial function tells us about the position of the equation on a graph and the roots also tells us about the complex and imaginary roots. So, Roots of chords are similar to the roots of polynomial functions.
A real root of a polynomial function is the point where the graph crosses the x-axis (also known as a zero or solution). For example, the root of y=x^2 is at x=0.
Roots can also be complex in the form a + bi (where a and b are real numbers and i is the square root of -1) and not cross the x-axis. Imaginary roots of a quadratic function can be found using the quadratic formula.
A root can tell you multiply things about a graph. For example, if a root is (3,0), then the graph crosses the x-axis at x=3. The complex conjugate root theorem states that if there is one complex root a + bi, then a - bi is also a complex root of the polynomial. So if you are given a quadratic function (must have 2 roots), and one of them is given as complex, then you know the other is also complex and therefore the graph does not cross the x-axis.
So, The roots of a polynomial function tells us about the position of the equation on a graph and the roots also tells us about the complex and imaginary roots. So, Roots of chords are similar to the roots of polynomial functions.
Learn more about POLYNOMIAL here
https://brainly.com/question/7693326
#SPJ4
Q5.
Express 56 as the product of its prime factors.
Answer:
2³×7
Step-by-step explanation:
The answer to this question is attached above. Hope this helps and please give brainlist!
he expansion of a 3×3 determinant can be remembered by this device. write a second copy of the first two columns to the right of the matrix, and compute the determinant by multiplying entries on six diagonals. add the downward diagonal products and subtract the upward products. use this method to compute the following determinant.
By the using this method. We get, the correct determinant is 68.
Given Determinant:
\(\left|\begin{array}{ccc}1&0&-4\\3&-4&0\\-1&-4&1\end{array}\right|\)
\((-1)\left|\begin{array}{cc}-4&0\\-4&1\end{array}\right] +0\left|\begin{array}{cc}3&0\\-1&1\end{array}\right|+(-4)\left|\begin{array}{cc}3&-4\\-1&-4\\\end{array}\right|\)
= (-1)(-4-0) +0 - 4(-12 -4)
= -1 (-4) + 0 -4(-16)
= 4 + 64
= 68.
Learn more about determinant here:
https://brainly.com/question/32669631
#SPJ4
Complete Question:
The expansion of a 3×3 determinant can be remembered by this device. write a second copy of the first two columns to the right of the matrix, and compute the determinant by multiplying entries on six diagonals. add the downward diagonal products and subtract the upward products. use this method to compute the following determinant.
\(\left|\begin{array}{ccc}1&0&-4\\3&-4&0\\-1&-4&1\end{array}\right|\)
Solve the right triangle for all unknown sides and angles. Round your answers to two decimal places.
B = 71
, b = 24
Angle A is 19 degrees.
Angle C is 90 degrees.
Side a is approximately 7.83.
Side c is approximately 34.50.
To solve the right triangle given that B = 71 degrees and b = 24, we can use the trigonometric ratios sine, cosine, and tangent.
Finding Angle A:
Angle A is the complementary angle to B in a right triangle, so we can calculate it using the equation:
A = 90 - B
Substituting the given value, we have:
A = 90 - 71
A = 19 degrees
Therefore, Angle A is 19 degrees.
Finding Angle C:
Since it is a right triangle, Angle C is always 90 degrees.
Therefore, Angle C is 90 degrees.
Finding Side a:
We can use the sine ratio to find the length of side a:
sin(A) = a / b
Rearranging the equation to solve for a, we have:
a = b * sin(A)
Substituting the given values, we have:
a = 24 * sin(19)
a ≈ 7.83
Therefore, the length of side a is approximately 7.83.
Finding Side c:
Using the Pythagorean theorem, we can find the length of side c:
c^2 = a^2 + b^2
Substituting the given values, we have:
c^2 = 7.83^2 + 24^2
c^2 ≈ 613.68 + 576
c^2 ≈ 1189.68
Taking the square root of both sides to solve for c, we have:
c ≈ √1189.68
c ≈ 34.50
Therefore, the length of side c is approximately 34.50.
To know more about trigonometric ratios, visit
https://brainly.com/question/23130410
#SPJ11
Ms. Yang left work at 5:15 p.m. She
went to the gym for 90 minutes,
and then it took her 40 minutes to
drive home. What time did Ms. Yang
get home?
HELP ME PLEASE ( 5th grade math )
Answer:
7:25
Step-by-step explanation:
Overall it took her 130 minutes while she was out so if you put that in time measurement it would be 7:25.
How can the dimensions of algebra tile rectangles and area models be used to represent expressions and multiplication?
The dimensions of algebra tile rectangles and area models can be used to represent expressions and multiplication by measuring the length and breadth of the tiles and multiplying them.
What is a Rectangle?This is referred to as a quadrilateral which has four right angles and the area is calculated by multiplying the length with the breadth.
In as situation where the algebra tile rectangles is used , it is best to first measure the length and the breadth after which they are then multiplied to give the appropriate answer. For example if the length is 8cm and the breadth is 5cm then the area will be 8cm × 5cm = 40cm²
Read more about Rectangle here https://brainly.com/question/25292087
#SPJ1
Dean uses 1/3 of a cup of vinegar in his salad dressing recipe. How much vinegar would Dean use to make 2 recipes?
PLEASE HELP!
Answer:
2/3
Step-by-step explanation:
1/3 multiplied by 2 equals 2/3
If the fraction of times an event happened in the past is used as the basis for assigning a probability to the event, this is ______ probability.
If the fraction of times an event happened in the past is used as the basis for assigning a probability to the event, this is Empirical probability.
If the events are mutually exclusive, special additional rules can be applied. -Additional general rules can be used if the events are not mutually exclusive. Events A and B must be mutually exclusive.
If the occurrence of one event is not completely affected by the occurrence of another event, such an event is probabilistically called an independent event, and the event affected by another event is a dependent event. Is called dependent events.
Learn more about fractions here: https://brainly.com/question/78672
#SPJ4
Do number 3 please
Answer:
EBC is 55 degrees :)
Step-by-step explanation:
Since ABD and EBC are congruent, it means that they share the same amount of degrees, and 150 - 40 is 110, which divided by two is 55, so both ABD and EBC are 55 degrees.
Write as an expression: Jones Elementary School sang 3 more than 4 times as many songs as Redwc
Middle School at the concert