Which polygon will always have 4-fold reflectional symmetry.

Answer:

C

Step-by-step explanation:

Answer:

Exact answer is 0.00076232

Step-by-step explanation:

i can give give u a website that does this, if u want

The measures in the circle given in the image above are calculated as:

1. m<PSQ = 130°;   2. m<AQS = 30°; 3. m(QR) = 100°; 4. m(PS) = 110°; 5. (RS) = 70°.

In order to find the measures in the circle shown, recall that according to the inscribed angle theorem, the measure of intercepted arc is equal to the central angle, but is twice the measure of the inscribed angle.

1. m<PSQ = m<PAQ

Substitute:

m<PSQ = 130°

2. Find m<PBQ:

m<PBQ = 1/2(m(PQ) + m(RS)) [based on the angles of intersecting chords theorem]

Substitute:

m<PBQ = 1/2(130 + 2(35))

m<PBQ = 100°

m<AQS = 180 - [m<BAQ + m<PBQ]

Substitute:

m<AQS = 180 - [(180 - 130) + 100]

m<AQS = 30°

3. m(QR) = m<QAR

Substitute:

m(QR) = 100°

4. m(PS) = 180 - m(RS)

Substitute:

m(PS) = 180 - 2(35)

m(PS) = 110°

5. m(RS) = 2(35)

m(RS) = 70°

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Answer:

it is C

Step-by-step explanation:

got it right on edge

Answer:

1,582.6 in.3

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

\(0.25*75 = 18\\\) (must round down for population)

By considering the given information that angles 21 and 23 are supplementary and analyzing the properties of supplementary angles and parallel lines, we have proven that segment HI is parallel to segment JK.

To prove that segment HI is parallel to segment JK based on the given information that angles 21 and 23 are supplementary, we can utilize the properties of supplementary angles and parallel lines.

First, let's examine the given figure and information.

We have a capital letter A with serifs, where segment HI represents one of the serifs, and segment JK represents a horizontal line within the letter A.

To begin the proof, we'll make use of the fact that angles 21 and 23 are supplementary.

Supplementary angles are defined as two angles whose measures sum up to 180 degrees.

We can observe that angle 21 is an interior angle of triangle AHI, and angle 23 is an interior angle of triangle AJK.

Since angles 21 and 23 are supplementary, their sum is equal to 180 degrees.

Now, let's assume that segments HI and JK are not parallel.

In this case, if we extend lines HA and JA, they will eventually intersect at point P.

Since the angles formed at the point of intersection are supplementary (angle 21 + angle 23 = 180 degrees), it would imply that angle 21 and angle PJK, as well as angle 23 and angle PHI, are also supplementary.

However, this leads to a contradiction. In the original figure, we can observe that angle 21 and angle PJK do not form a supplementary pair since angle PJK is a right angle (90 degrees) in the letter A.

Therefore, our assumption that segments HI and JK are not parallel must be incorrect.

Consequently, we can conclude that segment HI is indeed parallel to segment JK.

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Answer:

Division

Step-by-step explanation:

The order of operations (the simplest version) is...

PEMDAS

P: Parentheses

E: Exponents

M/D: Multiplication/Division (whichever comes first)

A/S: Addition/Subtraction (whichever comes first)

The answer is division, since it comes before addition and subtraction.

Answer:

divide both sides by 8.

x=-3

If BDFH is a parallelogram, then KN = MN. This is because KM is parallel to both BF and DH, and MN and KN are both half the length of BD and FH, respectively, which are equal since BDFH is a parallelogram.

Two pairs of parallel sides quadrilateral is known as parallelogram.

It is a four-sided planar figure with opposite sides that are parallel and congruent.

Since BDFH is a parallelogram, opposite sides are parallel and congruent. Therefore, BD is parallel and congruent to FH, and BF is parallel and congruent to DH.

Since KM is the line joining the midpoints of BD and FH, KM is parallel to BD and FH. Thus, KM is also parallel to BF and DH.

Let N be the intersection point of diagonals BD and FH, and let P and Q be the midpoints of BD and FH, respectively.

Since P and Q are midpoints of BD and FH, respectively, we have:

BP = PD, and FQ = QH.

By the midpoint theorem, we also have:

MN = 1/2 * BD, and KN = 1/2 * FH.

Since BDFH is a parallelogram, we have BD = FH, and therefore:

MN = 1/2 * BD = 1/2 * FH = KN.

Therefore, KN = MN.

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Answer:

Step-by-step explanation:

x  - the miles to travel

467+x  - the main odometer after x miles travel

22+x   - the trip odometer after x miles travel

2(22+x)    - two times the trip odometer after x miles travel

2(22+x) = 467 + x

44 + 2x = 467 + x

     - 44       -44

     2x = 423 + x

    -x       -x

     x = 423

Answer:

how far you've driven

Step-by-step explanation:

The expected value of the football game investment is 8,000 pesos. The probability distribution for the spinner game is a discrete probability distribution.

For the football game investment, we calculate the expected value by multiplying the possible outcomes with their corresponding probabilities and summing them up.

In this case, the club has a 20% chance of losing all 15,000 pesos and an 80% chance of gaining 20,000 pesos. The expected value is calculated as (0.2 * (-15,000)) + (0.8 * 20,000) = 8,000 pesos.

Therefore, the expected value of the investment is 8,000 pesos.

For the spinner game, the given probabilities indicate that there are three possible outcomes: blue, red, and yellow.

The probabilities associated with each outcome determine the probability distribution for the game.

In this case, the probability distribution is a discrete probability distribution since there are a finite number of outcomes with corresponding probabilities.

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The correct answer is we would need to conduct a total of 6 t-tests.

In a 2x3 factorial design, where you have two independent variables each with two levels and three levels, you would have to perform a total of 6 t-tests to test each combination of groups.

For each independent variable, you have two levels. Let's call them A1 and A2 for the first independent variable, and B1, B2, and B3 for the second independent variable.

To test each combination of groups, you would compare the means of the groups formed by the combinations of the levels.

The combinations of groups are as follows:

A1B1 vs. A2B1

A1B2 vs. A2B2

A1B3 vs. A2B3

A1B1 vs. A1B2

A2B1 vs. A2B2

A1B2 vs. A1B3

For each combination, you would perform a separate t-test to compare the means of the groups. Therefore, you would need to conduct a total of 6 t-tests.

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Answer:

i think its 14 or 10

Step-by-step explanation:

Yes, any list of five real numbers can be considered a vector in the set of real numbers with dimension 5, denoted as ℝ5.

A vector is a mathematical object that represents a quantity with both magnitude and direction. In the case of ℝ5, this set includes all possible lists of five real numbers, which can be thought of as five-dimensional vectors. Each number in the list represents a component or coordinate of the vector, indicating how far it extends in each of the five dimensions.

Therefore, any list of five real numbers can be considered a vector in the set of real numbers with dimension 5, denoted as ℝ5.


In mathematics, a vector is an element of a vector space, which is a set of objects that can be added together and multiplied by scalars (real numbers). The set ℝ⁵ is a vector space consisting of all 5-tuples (lists) of real numbers, written as (a₁, a₂, a₃, a₄, a₅), where each element aᵢ is a real number. Any list of five real numbers forms a vector in ℝ⁵ because it satisfies the required conditions to be an element of the vector space.

A list of five real numbers is indeed a vector in the set of real numbers ℝ⁵, as it meets the necessary criteria to be a part of the vector space.

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Answer:

2=41     1=49      3=49

Step-by-step explanation:

Angle 2 = 41 because it is directly across the given angle.

Angles 1 and 3 are equal, and the total number of degrees in the rombus are 180.

41+41=82

180-82=98

98 / 2 = 49

Angles and 3 both equal 49

Answer:

2=41°(Alternate Interior angles)

1=41°(diagonal of rhombus bisects the interior angles)

3=49°(180-82/2)

Step-by-step explanation:

Answer:

(tan-1x)' = 1/(1 + x2)

Step-by-step explanation:

The differentiation of tan inverse x is the process of finding the derivative of tan inverse x with respect to x.

Answer:

Population: A) All woman in the country

Step-by-step explanation:

Sample: A) The 1004 woman selected

Answer:

3rd option

Step-by-step explanation:

The equation of a line in point- slope form is

y - y₁ = m(x - x₁)

where m is the slope and (x₁, y₁ ) a point on the line

Here m = - 2 and (x₁, y₁ ) = 4. - 6 ) , then

y - (- 6) = - 2(x - 4) , that is

y + 6 = - 2(x - 4)

Answer:

9 \(cm^{2}\)

Step-by-step explanation:

All the sides have the same length, so if the perimeter.  The distance around the figure is 24, then each side is 6 (24 divided by 4 is 6)

The area of a triangle is

a = 1/2 bh

a = 1/2(6)(3)

a = 1/2(18)

a = 9

Helping in the name of Jesus.

Answer

root 354

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

(√19 -√7)(√19 +√7)

( a +b)( a -b) = a²-b²

(√19)² -(√7)² = 19 -7 = 12

Volume of beach ball or the amount of air will the beach ball hold is 2304π in³.

Formula

Volume of Sphere is 4/3πr³

The volume, V, of a sphere with radius r is  4/3πr³

By employing a technique that roughly represents the surface area of a sphere using square pyramids, it is possible to obtain the formula for the volume of a sphere using the formula for its surface area, which is 4πr^2.

Where r is the radius of the sphere .

As given

12 inches is the radius of a beach ball.

r = 12 in

Substitute the r in above volume equation,

V =4/3πr³

V=4/3π(12)³

V= 2304π in³

Therefore, the amount of air will the beach ball hold is 2304π in³.

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Answer:  b

Step-by-step explanation:

Combine the terms after removing the parentheses.

Reference equation: 4x + 12

a.  4x + 12

b.  4X +7

c.  4x + 12

d.  4x + 12

Answer:

ANSWER (D.

ABC Similar To DEF

ABC ∼ DEF

-

We can form a total of 42 stacks of 8 cans each from the 7 boxes of cat food received by the pet store.

Now, We can use a bar model to represent the total number of cans and the number of stacks that can be formed.

First, let's find the total number of cans:

7 boxes x 48 cans/box = 336 cans

Now, let's use a bar model to represent this total:

| 336 cans of food  |

Next, we want to find how many stacks of 8 cans we can form. We can use a separate bar model to represent the size of each stack:

| 42 stacks of 8 cans each |

Hence, The number of stacks that can be formed, we need to divide the total number of cans by the number of cans in each stack:

336 cans ÷ 8 cans/stack = 42 stacks

So the final bar model looks like this:

| 336 cans of food  | = | 42 stacks of 8 cans each |

Therefore, we can form a total of 42 stacks of 8 cans each from the 7 boxes of cat food received by the pet store.

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The eigenvalues of the given matrix are 4, 2, 0, and 0, with corresponding eigenvectors given by [1, sin(πn/5), sin(2πn/5), sin(3πn/5)] for eigenvalue 4, [1, sin(πn/5), sin(2πn/5), sin(3πn/5)] for eigenvalue 2, [0, cos(πn/5), cos(2πn/5), cos(3πn/5)] for eigenvalue 0 (n ≠ 0), and [0, 1, -2, 1] and [1, 0, 0, 0] for eigenvalue 0 (n = 0).

To find the eigenvalues and eigenvectors, we start by using the sine transform. Let S be the 4x4 sine matrix, i.e., the entry in the i-th row and j-th column of S is given by sin(πij/5). Then, we can write the given matrix as M = 3I + S + S^T, where I is the 4x4 identity matrix.

Next, we find the eigenvalues of S. Since S is a real symmetric matrix, its eigenvalues are real and its eigenvectors are orthogonal. By inspection, we see that the columns of S are orthogonal and have length 2, so the eigenvalues of S are given by λn = 2(1 - cos(πn/5)) for n = 1, 2, 3.

Now, we can find the eigenvalues of M. Since M = 3I + S + S^T, the eigenvalues of M are given by μn = 3 + λn + λm, where λn and λm are the eigenvalues of S. Thus, we have μ1 = 4, μ2 = 2, and μ3 = μ4 = 0.

To find the eigenvectors of M, we need to solve the equations (M - μnI)x = 0 for each eigenvalue μn. For μ1 = 4, we have (M - 4I)x = (S - 2I)(S^T - 2I)x = 0, which has non-trivial solutions of the form [1, sin(πn/5), sin(2πn/5), sin(3πn/5)] for n = 1, 2, 3, 4.

Similarly, for μ2 = 2, we have solutions of the form [1, sin(πn/5), sin(2πn/5), sin(3πn/5)] for n = 1, 2, 3, 4. For μ3 = 0, we have solutions of the form [0, cos(πn/5), cos(2πn/5), cos(3πn/5)] for n ≠ 0. Finally, for μ4 = 0, we have two linearly independent solutions: [0, 1, -2, 1] and [1, 0, 0, 0].

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The population of an island in 1950 was 2 million. The population grew exponentially for 63 years and reached 6.5 million in 2013. The carrying capacity of the island is estimated to be 10 million.

If the population growth rate in the future is similar to the last 50 years, what will the population be in 2050

The population is given to be increasing exponentially, which means it will follow the equation:

\($P(t) = P_0 e^{rt}$\)Here,\($P(t)$\) is the population after a period of time \($t$, $P_0$\) is the initial population, $r$ is the annual growth rate (which we are given is the same as the growth rate of the last 50 years), and \($t$\) is the time.

We can find the annual growth rate $r$ using the formula:\($$r = \frac{\ln{\frac{P(t)}{P_0}}}{t}$$\)
We know\($P_0 = 2$ million, $P(t) = 6.5$ million, and $t = 63$\) years. Substituting these values, we get:

\($r = \frac{\ln{\frac{6.5}{2}}}{63} = 0.032$\) (rounded to 3 decimal places)

Since the carrying capacity of the island is 10 million, we know that the population will not exceed this limit.

Therefore, we can use the logistic model to find the population growth over time. The logistic growth model is:

\($$\frac{dP}{dt} = r P \left(1 - \frac{P}{K}\right)$$\)

where $K$ is the carrying capacity of the environment. This can be solved to give:\($P(t) = \frac{K}{1 + A e^{-rt}}$\)

where \($A = \frac{K-P_0}{P_0}$. We know $K = 10$ million, $P_0 = 2$ million, and $r = 0.032$\). Substituting these values, we get:\($A = \frac{10-2}{2} = 4$\)

Therefore, the equation for the population of the island is:\($P(t) = \frac{10}{1 + 4 e^{-0.032t}}$\)

To find the population in 2050, we substitute\($t = 100$\) (since 63 years have already passed and we want to find the population in 2050, which is 100 years after 1950):

\($P(100) = \frac{10}{1 + 4 e^{-0.032 \times 100}} \approx \boxed{8.76}$ million\)
Therefore, the estimated population of the island in 2050, assuming constant carrying capacity and consumption per capita, is approximately 8.76 million.

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Answer:

22 units^2

Step-by-step explanation:

Answer:

45 units²

Step-by-step explanation:

The formula I learned for finding the area of a triangle is:

½ x b(base) x h(height)

The base for this triangle is 5. The height is 18. You multiply these two numbers and get 90. Then, you multiply 90 by ½. 90 x 1 is 90. 90 divided by two is 45. Your final answer is 45.

Hope it helps!

The area of a triangle with sides a = 20, b = 15, and c = 25 is 150.

The sides of the triangle are given as a = 20, b = 15, and c = 25.

We will use Hero's formula to find the area of this triangle.

It is a three-face polygon that consists of three edges and three vertices.

We use Heron's formula to find the area of a triangle with 3 sides:

Herons formula:

Area of a triangle =  \(\sqrt{s(s-a)(s-b)(s-c)}\\\)

Where a, b, and c are sides of a triangle.

And s = semi perimeter of a triangle.

s = \(\frac{a+b+c}{2}\)

If the sum of two sides of a triangle is greater than the third side of a triangle then the sides of a triangle are true.

Let the given sides be:

a = 20, b = 15 and c = 25.

(20 + 15) > 25

(20 + 25) > 15

(15 + 25) > 20 so the given sides are true.

Now,

Semi perimeter of the triangle:

s = (a+b+c) / 2

s = (20+15+25) / 2

s = 60 / 2

s = 30

Putting s = 30 in the area of the triangle.

we get,

Area of the triangle = \(\sqrt{s(s-a)(s-b)(s-c)}\\\)

Area of the triangle = \(\sqrt{30(30-20)(30-15)(30-25)}\\\\\sqrt{30\times10\times15\times5}\\\\\sqrt{22500}\\\\150\)

Thus, the area of a triangle is 150.

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