I am a two-dimensional shape.
I have two pairs of parallel sides.
I have no axis of symmetry.
What am I?

Answer:

1) S1 = 4·x² - 12·x + 9

S2 = 12·x² - 26·x + 12

S3 = 6·x² - 5·x - 6

2) S = 10·x² - 33·x + 27

Step-by-step explanation:

The length x in cm > 1.5

Segment AB = 2·x - 3, segment BC = 4·x - 6, segment AD = 2·x + 3 and segment BE = 4·x + 1

1) a) The area of the right triangle ABC = S1 = 1/2 × Base × Height

The base of the triangle ABC = Segment BC = 4·x - 6

The height of the triangle ABC = Segment AB = 2·x - 3

Therefore, The area of the triangle ABC = S1 = 1/2 × (4·x - 6) × (2·x - 3) = 1/2 × (8·x² - 12·x - 12·x + 18) = 4·x² - 12·x + 9

S1 = 4·x² - 12·x + 9

b) The area of the rectangle CBFG = S2 = Base × Height

The base of the rectangle CBFG = BC = 4·x - 6

The height of the rectangle CBFG = BF = 3·x - 2

The area of the rectangle CBFG = S2 =(4·x - 6) × (3·x - 2) = 12·x² - 8·x - 18·x + 12

The area of the rectangle CBFG = S2 = 12·x² - 26·x + 12

S2 = 12·x² - 26·x + 12

c) The area of the trapezoid ADEB = S3 = 1/2 × (Long side + Short side) × The height of the trapezoid ADEB

The long side of the trapezoid ADEB = BE = 4·x + 1

The short side of the trapezoid ADEB = AD = 2·x + 3

The height of the trapezoid ADEB = AB = 2·x - 3

The area of the trapezoid ADEB = S3 = 1/2 × (4·x + 1 + 2·x + 3) × (2·x - 3) = 6·x² - 9·x + 4·x - 6

∴ The area of the trapezoid ADEB = S3 = 6·x² - 5·x - 6

S3 = 6·x² - 5·x - 6

2) S = S1 + S2 - S3 = 4·x² - 12·x + 9 + 12·x² - 26·x + 12 - (6·x² - 5·x - 6) = 10·x² - 33·x + 27

The conclusion in the argument is "the good, according to Plato, is that which furthers a person's real interests." which it is the correct answer.

In a well-structured argument, the conclusion is what the argument aims to prove.

The conclusion can be located at the beginning or end of the argument, and it should always be precise, clear, and understandable.

The conclusion in the argument above is that "the good, according to Plato, is that which furthers a person's real interests."

The argument tries to explain that the good in Plato's philosophical teachings is a thing that advances a person's genuine interests.

The statement "it follows that" is the premise that links the argument with the conclusion.

The premise and the conclusion have a relationship of cause and effect, and this implies that the argument's conclusion is "the good, according to Plato, is that which furthers a person's real interests."

Therefore, the right option is: the good, according to Plato, is that which furthers a person's real interests.

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Answer:

False

Step-by-step explanation:

An isosceles triangle does have at least two equal sides

I hope this helps

if you could, feel free to mark me Brainliest it would be much appreciated :D

Answer:

Female: 93/328

Adult: 103/328

Baby: 61/328

Step-by-step explanation:

71 + 93 + 103 + 61 = 328

Male: 71/328

Female: 93/328

Adult: 103/328

Baby: 61/328

This means that the dolphin must ascend more than 15 feet to reach a depth above -35 feet.

What is inequality ?

In mathematics, an inequality is a mathematical statement that compares two values and indicates whether one value is greater than, less than, or equal to the other value. Inequalities are represented using inequality symbols such as < (less than), > (greater than), ≤ (less than or equal to), and ≥ (greater than or equal to).

Let's assume that the dolphin ascends x feet from its initial depth of -50 feet.

The depth of the dolphin after ascending x feet can be calculated as follows:

-50 + x

The inequality that represents the dolphin ascending a certain number of feet to a depth above -35 feet is:

-35 < -50 + x

Simplifying this inequality, we get:

-35 + 50 < x

15 < x

So the inequality that represents the dolphin ascending a certain number of feet to a depth above -35 feet is:

x > 15

Therefore, This means that the dolphin must ascend more than 15 feet to reach a depth above -35 feet.

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Answer:

하하하하하하하하하하하하하하

Step-by-step explanation:

감사합니다 그리고 안녕 시요나라

Step-by-step explanation:

Sana makatulong pooooooo

An augmented matrix is a matrix that is formed by appending one matrix to another. It is used to represent systems of linear equations.

A matrix is a rectangular array of numbers, also called elements, arranged in rows and columns. For example, a matrix with 2 rows and 3 columns would look like this:

[a11 a12 a13]

[a21 a22 a23]

An augmented matrix is a matrix that has an extra column appended to it, usually on the right side, and it is used to represent a system of linear equations. The extra column is used to represent the constants on the right side of the equation.

For example, the system of equations

2x + 3y = 5

4x + 5y = 7

can be represented in the form of an augmented matrix, like this:

[2 3 | 5]

[4 5 | 7]

The vertical bar "|" is used to separate the coefficients of the variables from the constants.

In linear algebra, the Gaussian elimination method and Gauss-Jordan elimination method are used to solve the system of linear equations by using the augmented matrix. The method involves a sequence of operations on the rows of the matrix, such as adding or subtracting a multiple of one row from another, in order to simplify the matrix and eventually find the solution of the system.

In summary, an augmented matrix is a matrix that is formed by appending one matrix to another, and it is used to represent a system of linear equations, which is a set of equations with multiple variables, and can be used to solve them using methods like Gaussian elimination or Gauss-Jordan elimination.

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Answer:

5%

Step-by-step explanation:

Answer:

5% increase

Step-by-step explanation:

30/600 equals .05 or 5%

Answer: y = -4/9x + 11/3

Step-by-step explanation:

Answer:

Part a-

area= 35

perimeter= 31

part b-

area= 25

perimeter= 18

Step-by-step explanation:

to find the area of a triangle you multiply 1/2Bh

so for part A:

A= \(\frac{1}{2}\) (10)(7) (honestly, you can just input the whole equation into the calculator)

A=(5)(7)

A= 35

and for part B:

A= \(\frac{1}{2}\)(8.34)(6)

A= (4.17)(6)

A=25.02 (or just 25)

THEN, to find the perimeter you add up all of the sides

so for part A:

P= 14 + 10 + 7 = 31

and for part B:

P= 4 \(\frac{1}{3}\) + 8 \(\frac{1}{3}\)  + 5 \(\frac{1}{3}\) = 17 \(\frac{3}{3}\) or 18

I hope this helps :)

Probability of Janie winning game = (2⁴⁷ - 1)/2⁴⁷  or approximately 0.999999999999978, using binomial distribution with given information.

We can solve this probability by using the binomial distribution. Let X be the random variable representing the number of heads in the remaining tosses until one of the players wins the game. Since Luka has 24 points, Janie needs to win X heads before Luka wins one more.

We want to find the probability that Janie wins the game, which is the probability that X is greater than or equal to Luka's remaining points needed to win(25 - 24 = 1).

Let p be the probability of the coin landing heads up, and q be the probability of the coin landing tails up, so that p + q = 1. Since the coin is fair, p = q = 1/2.

Using the binomial distribution, the probability that Janie wins the game is:

P(X >= 1) = 1 - P(X = 0)

where

P(X = k) = \((47 - 24 choose k) (1/2)^k (1/2)^(47 - 24 - k)\)

= (23 + k choose k) (1/2)⁴⁷

where k = 0, 1, 2, ..., 23.

Therefore,

P(X = 0) = (23 choose 0) (1/2)⁴⁷ = 1/2⁴⁷

P(X >= 1) = 1 - P(X = 0) = 1 - 1/2⁴⁷

Simplifying,

P(X >= 1) = (2⁴⁷ - 1)/2⁴⁷

Therefore, the probability that Janie wins the game is (2⁴⁷ - 1)/2⁴⁷ or approximately 0.999999999999978.

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The length of the arc subtended by the angle's rays is 0.02 times the radius of the circle

To find the length of the arc subtended by the angle's rays, we need to know the angle measure. Since we know that 1/360th of the circumference is 0.04 cm long, we can find the circumference by multiplying 0.04 cm by 360, which gives us 14.4 cm.

Now, we need to find the angle measure. Since the circle is centered at the vertex of the angle, the angle measures half the arc it subtends. Thus, we can find the angle measure by dividing the circumference by 2 and then multiplying by 1/360.

Angle measure = (14.4/2) x (1/360) = 0.02 radians

Finally, we can find the length of the arc subtended by the angle's rays by multiplying the angle measure by the radius of the circle.

Length of arc = 0.02 x radius


The length of the arc subtended by the angle's rays is 0.02 times the radius of the circle. The given information of 1/360th of the circumference being 0.04 cm long helped us find the circumference and subsequently the angle measure.

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The volume of the given pyramid is approximately 780.975 cubic kilometers.

Given information:

The provided shape is a pyramid with a triangular base.

And the width of the base is 11.7 kilometers and the length of the base is 26.7 kilometers.

And the height of the pyramid is 15 kilometers.

To find the volume of a pyramid with a triangular base, we use the formula:

V = (1/3)Bh

where V is the volume, B is the area of the base, and h is the height of the pyramid.

In this case, we are given that the base of the pyramid is a triangle with a width of 11.7 kilometers and a length of 26.7 kilometers.

To find the area of this triangle, we use the formula for the area of a triangle:

B = (1/2)bh

where b is the width and h is the length of the base of the triangle.

Substituting the given values, we get:

B = (1/2)(11.7)(26.7)

B = 156.195 km²

Now, we substitute the values of B and h into the formula for the volume of a pyramid:

V = (1/3)(156.195)(15)

V = 780.975 km³.

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The angles formed by the bisector are equal in measure, adjacent, supplementary, form a linear pair, and are congruent.

When a line bisects an angle, it divides the angle into two equal parts. The resulting angles have several properties

They have equal measures: The two angles formed by the bisector have the same degree measurement.

They are adjacent: The two angles share a common side and vertex.

They are supplementary: The sum of the two angles formed by the bisector is 180 degrees.

They form a linear pair: The two angles, together with the adjacent angle on the other side of the bisector, form a straight line or a linear pair.

They are congruent: The two angles formed by the bisector are congruent to each other.

These properties are useful in solving problems involving angle bisectors in geometry.

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I have solved the question in general, as the given question is incomplete.

The complete question is:

What are some properties of the angles formed by the bisector?

Answer:

\(\boxed {x = 0}\)

Step-by-step explanation:

Solve for the value of \(x\):

\(x - 10 = 5x - 10\)

-Take \(5x\) and subtract it from \(x\):

\(x - 10 - 5x = 5x - 5x - 10\)

\(-4x - 10 = -10\)

-Add \(10\) to both sides:

\(-4x - 10 + 10 = -10 + 10\)

\(4x = 0\)

-Since \(4x\) does not equal to \(0\), then \(x\) must equal to \(0\):

\(\boxed {x = 0}\)

Answer:

? = 26

Step-by-step explanation:

Challenge accepted!

For the bottom left corner:

\(10^{2} + 6^{2} \\= 100 + 36\\= 136\)

Now, 10 - 6 = 4

136 / 4 = 34

For the top left corner:

\(7^{2} + 5^{2} \\= 49 + 25\\= 74\)

Now, 7 - 5 = 2

74 / 2 = 37

For the top right corner:

\(8^{2} + 4^{2} \\= 64 + 16\\= 80\)

Now, 8 - 4 = 4

80 / 4 = 20

For the bottom right corner:

\(6^{2} + 4^{2} \\= 36 + 16\\= 52\)

Now, 6 - 4 = 2

52 / 2 = 26

Another method:

5×6+7=37

7×6-5=37

6×4+10=34

10×4-6=34

4×3+8=20

8×3-4=20

So, 4×5+6=26

6×5-4=26

Firstly we have to multiply number with smaller number from the both number, then, multiply that constant number with larger number and then subtract smaller number you will get same number, in this with 4 only 5 constant number following this rule 4×5+6=26, 6×5-4=26, if you multiply 4 with 6, then, 4×6+6=30, 6×6-4=32, and with 7, 4×7+6=34, 6×7-4=38. So, 26 is the right answer of this question

Answer:

Yes

Step-by-step explanation:

Yes, dividing a negative number by a positive number will equate to another negative number.

Applying this logic, -2 divide by 2 is simply -1

Answer:

It would be the third one (x, y) for all real numbers

a) 20 people travel more than 30 miles to work.

b) Sam travels 20 miles .

Given,

In the question:

From the graph:

The histogram shows information about how 550 people travel to work.

To find the how many people travel more than 30 miles to work?

Now, According to the question:

Observe the Graph :

a)  How many people travel more than 30 miles to work

5 x 4 = 20 people

b) 205 of the 550 people travel further than Sam . Estimate how far Sam travel?

Now, According to the question:

205 of the 550 people travel further than Sam,

Sam travels 20 miles .

Hence, a) 20 people travel more than 30 miles to work.

b) Sam travels 20 miles .

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The salary during the 20th year of service will be $53,750.

To determine the salary during the 20th year of service, we can start with the initial salary and calculate the cumulative raises over the years.

Given that the starting yearly salary is $30,000 and each year the individual receives a $1,250 raise, we can calculate the salary for each subsequent year using the following formula:

Salary = Initial Salary + (Number of Years - 1) \(\times\) Raise Amount

For the 20th year of service, we substitute the values into the formula:

Salary = $30,000 + (20 - 1) \(\times\) $1,250

Simplifying the equation:

Salary = $30,000 + 19 \(\times\) $1,250

Salary = $30,000 + $23,750

Salary = $53,750.

Therefore, the salary during the 20th year of service will be $53,750.

It's important to note that this calculation assumes that the individual receives the same annual raise amount consistently every year.

Factors such as promotions, inflation, or company policies may influence the actual salary progression in practice.

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The equation is solved below.

What is an equation?

There are several methods to define a mathematical equation. An b is a mathematical statement that declares the equality of two mathematical expressions in their most basic form. For instance, in the equation 3x + 5 = 14, the two expressions 3x + 5 and 14 are separated by the 'equal' sign. The simplest and most fundamental algebraic equations in mathematics have one or more variables.

Given equations,

TU = 4 => U = 4/T

UV = 2x => V = 2x/U => V = xT/2 => x = 2V/T

Now, 7V = x + 10

=> 7V = 2V/T + 10

=> 7V X 4/U = 2V + 10 X 4/U

=> 28V/U = (2UV + 40)/U

=> 14V = UV + 20

=> UV = 14V - 20

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Regular polygons are those with an even distribution of interior angles.

When the polygon is cut in the centre, the vertex of the angles as well as the middle points of the sides produce symmetric lines.

Every exterior angle in a polygon : 360 ÷ number of sides

In this,decagon has 10 sides.

So, every exterior angle: 360 ÷ 10 = 36°

Thus, all 10 sides together has : 36° x 10 = 360°

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The correct question are-

1. The measure of an interior angle of a regular hexagon to the measure of an interior angle of an a regular decagon

2. The sum of the exterior angles (one angle at each vertex) of a regular pentagon to the sum of the exterior angles(one angle at each vertex) of a regular dodecagon

Answer:

h to the power of 7 im pretty sure

Step-by-step explanation:

Answer:

h^7

Step-by-step explanation:

h^6 . h

h can be written as h^1

Formula : -

a^m . a^n = a^( m + n )

Here,

a = h

m = 6

n = 1

h^6 . h^1

= h^( 6 + 1 )

= h^7

The charge on the line segment extending from (2,1,5) to (4,3,6) is determined by finding the line integral of the electric field along that line.

This line integral can be calculated by parameterizing the line segment and computing the integral using the formula:∫_a^b E·dswhere E is the electric field, s is the position vector along the line, and a and b are the starting and ending points of the line.

To parameterize the line segment, we can use the equation:r(t)=(2,1,5)+t(2,2,1)where 0 ≤ t ≤ 1. This gives us a point on the line for each value of t, and the vector (2,2,1) gives us the direction of the line. We can then calculate the electric field at each point along the line .

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Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

The Maclaurin series for \(f(x) = (1 + x)^(1/4)\) can be found using the binomial series expansion.

To find the Maclaurin series for the function \(f(x) = (1 + x)^(1/4)\) we can utilize the binomial series expansion. The binomial series states that for any real number r and x in the interval \((-1, 1)\),\((1 + x)^r\) can be expressed as a power series. In this case, we have r = 1/4, and by expanding \((1 + x)^(1/4)\) using the binomial series, we can obtain the Maclaurin series representation.  

The binomial series expansion involves an infinite sum of terms, where each term is calculated using the binomial coefficient. The resulting Maclaurin series provides an approximation of the original function within the given interval.

Understanding the binomial coefficient and the properties of power series can help in deriving accurate approximations for a wide range of mathematical functions.

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Answer:

$1326

Step-by-step explanation:

please mark as brainlyest