If all of the diagonals are drawn from a vertex of a hexagon, how many triangles are formed?

3
4
5
2

To classify a quadrilateral by its sides, we need to calculate the distance between each pair of its vertices.

The distance between Q and R is the square root of ((1-(-2))^2 + (5-(-1))^2) = square root of (3^2 + 6^2) = square root of (9+36) = square root of 45 = 6.7

The distance between R and T is the square root of ((-8-1)^2 + (-4-5)^2) = square root of (9+81) = square root of 90 = 9.5

The distance between Q and T is the square root of ((-8+2)^2 + (-4+1)^2) = square root of (10+5) = square root of 15 = 3.87

If the quadrilateral is a rectangle, two sides of it have to be equal, so in this case, AQRT is not a rectangle.

If the quadrilateral is a rhombus, all four sides have to be equal, so in this case, AQRT is not a rhombus.

If the quadrilateral is a square, all four sides have to be equal, so in this case, AQRT is not a square.

If the quadrilateral is a trapezoid, two adjacent sides are parallel, so in this case, AQRT is not a trapezoid.

If the quadrilateral is a parallelogram, two pairs of opposite sides are parallel, so in this case, AQRT is not a parallelogram.

If the quadrilateral is a kite, two pairs of sides have the same length, so in this case, AQRT is not a kite.

So the only possible classification is that AQRT is a general quadrilateral.

so we have:

QR = 6.7

RT = 9.5

QT = 3.87

Answer:

Step-by-step explanation:

AB

away fram house

2km 4mins

rate: 1km\minute

BC

away from house

5km 6mins

rate:0.83km\minute

CD

niether

0km 9mins

no rate

DE

toward house

6km 15mins

0.4km\minute

The length of fence  is 170feet if a rectangular garden measures 60 feet by 25 feet. Fencing is used to cover the garden from any unwanted animals.

A fence is defined as the structure that encloses an area, typically outdoors, and is usually constructed from the posts that are connected by boards, wire, rails or netting.

We know very well that the length of the fencing can be found by the perimeter of rectangle.

Perimeter of rectangle is given by =2×(length + breadth) or

=>P=2L +2W

if L is the length of rectangle and W is the width of rectnagle

Now, here we have length of rectangular garden as 60 feet and width as 25 feet

=>P=2×60+2×25

=>P=120+50

=>P=170feet

Hence, required length of fence is 170 feet.

To know more about length, visit here:

https://brainly.com/question/8552546

#SPJ4

The companies in order of greatest comparative advantage to least comparative advantage in producing large tubes of toothpaste is 4, 3, 1, 2 that is option C.

Use the numbers to place the companies in order of greatest comparative advantage to least comparative advantage in producing large tubes of toothpaste.

Toothpaste company

Large tubes

Small tubes

1) Sparkling

100 per hour

200 per hour

2) Bright White

100 per hour

250 per hour

3) Fresh!

200 per hour

250 per hour

4) Mint

150 per hour

150 per hour

Formula for comparative advantage is

CA=rate of producing large tubes/rate of producing small tube

For 1 Sparkling:

CA = 100/200

CA = 0.5

For 2 Bright White:

CA = 100/250

CA = 0.5

For 3 Fresh:

CA = 200/250

CA = 0.8

For 4 Mint:

CA = 150/150

CA = 1

thus, to place the companies in order of greatest comparative advantage to least comparative advantage in  producing large tubes of toothpaste is 4, 3, 1, 2.

Learn more about Companies:

https://brainly.com/question/28889657

#SPJ4

Complete question:

Use the numbers to place the companies in order of greatest comparative advantage to least comparative advantage in

producing large tubes of toothpaste.

2.1.3.4

4.1,2,3

4,3,1,2

Save and Exit

Next

Submit

Mark this and retum

Freud is a stage theorist. Sigmund Freud, the renowned Austrian neurologist and psychoanalyst, is widely recognized as one of the pioneers in the field of psychoanalysis.

He proposed a developmental theory that included psychosexual stages of development. According to Freud, human development progresses through distinct stages, each characterized by a specific focus on different erogenous zones. These stages include the oral stage, stage, phallic stage, latency stage, and genital stage. Freud believed that the way individuals navigate these stages influences their personality and psychological well-being in adulthood.

Although Freud's stage theory has been critiqued and modified over time, his ideas regarding the importance of early childhood experiences and unconscious processes have had a profound impact on psychology and continue to shape our understanding of human development.

To know more about psychoanalyst:
https://brainly.com/question/279955

#SPJ4

(4.1) The sets in σ(X), the sigma-algebra generated by random variable X, can be determined by considering the pre-images of X. Since X can take two possible values, 1 and -1/2, the sets in σ(X) will be all possible combinations of these values. Therefore, the sets in σ(X) are:

{∅, Ω, {ω1, ω2, ω3}, {ω4, ω5, ω6}, {ω1, ω2, ω3, ω4, ω5, ω6}}.

(4.2) To determine E[Y|X] and E[Z|X], we need to find the conditional expectations of Y and Z given X for each ωi.

For Y:

E[Y|X=1] = Σ P(ωi|X=1)Y(ωi) = P(ω1|X=1)Y(ω1) + P(ω2|X=1)Y(ω2) + P(ω3|X=1)Y(ω3) + P(ω4|X=1)Y(ω4) + P(ω5|X=1)Y(ω5) + P(ω6|X=1)Y(ω6)

= 0*(-1) + 0*(-1) + 1*(-1) + 0*(-1) + 0*(-1) + 0*(-1) = -1.

E[Y|X=-1/2] = Σ P(ωi|X=-1/2)Y(ωi) = P(ω1|X=-1/2)Y(ω1) + P(ω2|X=-1/2)Y(ω2) + P(ω3|X=-1/2)Y(ω3) + P(ω4|X=-1/2)Y(ω4) + P(ω5|X=-1/2)Y(ω5) + P(ω6|X=-1/2)Y(ω6)

= 1*(-1) + 1*(-1) + 0*(-1) + 1*(-1) + 1*(-1) + 1*(-1) = -6.

For Z:

E[Z|X=1] = Σ P(ωi|X=1)Z(ωi) = P(ω1|X=1)Z(ω1) + P(ω2|X=1)Z(ω2) + P(ω3|X=1)Z(ω3) + P(ω4|X=1)Z(ω4) + P(ω5|X=1)Z(ω5) + P(ω6|X=1)Z(ω6)

= 0*(1-1) + 0*(1-1) + 1*(1-1) + 0*(1+1) + 0*(1+1) + 0*(1+1) = 0.

E[Z|X=-1/2] = Σ P(ωi|X=-1/2)Z(ωi) = P(ω1|X=-1/2)Z(ω1) + P(ω2|X=-1/2)Z(ω2) + P(ω3|X=-1/2)Z(ω3) + P(ω4|X=-1/2)Z(ω4) + P(ω5|X=-1

Learn more about sigma-algebra here:

brainly.com/question/31956977

#SPJ11

The derivative of the function y = x^2x using logarithmic differentiation is dy/dx = x^2x(2 + 2ln(x)).

To find the derivative of the function y = x^2x using logarithmic differentiation, we follow these steps:

About logarithmic differentiation here:

https://brainly.com/question/32030515

#SPJ11

To find the derivative of the function y = x^(2x) using logarithmic differentiation, we take the natural logarithm of both sides, apply logarithmic properties, and then differentiate implicitly.

Start by taking the natural logarithm of both sides of the equation:

ln(y) = ln(x^(2x))

Apply the power rule of logarithms to simplify the expression:

ln(y) = 2x * ln(x)

Now, differentiate both sides of the equation implicitly with respect to x:

(1/y) * dy/dx = 2 * ln(x) + 2x * (1/x)

Simplify the expression:

(1/y) * dy/dx = 2 * ln(x) + 2

Multiply both sides by y to isolate dy/dx:

dy/dx = y * (2 * ln(x) + 2)

Substitute the original value of y = x^(2x) back into the equation:

dy/dx = x^(2x) * (2 * ln(x) + 2)

The derivative of the function y = x^(2x) using logarithmic differentiation is dy/dx = x^(2x) * (2 * ln(x) + 2). Logarithmic differentiation is a useful technique for differentiating functions that involve exponentials or complicated algebraic expressions, as it allows us to simplify the calculation by taking the logarithm of both sides and then differentiating implicitly.

To know more about function visit:

https://brainly.com/question/11624077

#SPJ11

Answer: 58 Shakers

Step-by-step explanation:pairs mean 2 and 29 * 2 = 58

hope this helps :)

1. The number of computations (hashes) required for finding a collision at 80% and 10% probabilities is 1.8447 x 10^19.

2. It will take approximately 47,891 seconds (or 13.3 hours) to find a collision at 10% probability.

The number of computations (hashes) required for finding a collision at 80% and 10% probabilities depends on the size of the hash function output. Let's assume a hash function output size of 128 bits for this example.

For finding a collision at 80% probability, we need to use the birthday attack algorithm. The number of hashes required can be calculated using the following formula:

N = sqrt((2^(n+1))*ln(1/(1-p)))

where n is the size of the hash output in bits (n=128 in this case), p is the desired probability of finding a collision (p=0.8 in this case), ln is the natural logarithm, and sqrt is the square root function.

Substituting the values, we get:

N = sqrt((2^(128+1))*ln(1/(1-0.8))) = 2^64.3155 = 1.8447 x 10^19

Therefore, we need 1.8447 x 10^19 hashes to find a collision at 80% probability.

For finding a collision at 10% probability, we can use the following formula:

N = sqrt((2^(n+1))*ln(1/(1-p)))

Substituting the values, we get:

N = sqrt((2^(128+1))*ln(1/(1-0.1))) = 2^55.9724 = 4.7891 x 10^16

Therefore, we need 4.7891 x 10^16 hashes to find a collision at 10% probability.

If we have a computer that can process a trillion hashes per second, we can calculate the time required to find a collision at 10% probability as follows:

time = N / rate

where N is the number of hashes required to find a collision (N=4.7891 x 10^16), and rate is the rate of hashes that the computer can process per second (rate=1 trillion = 1 x 10^12).

Substituting the values, we get:

time = (4.7891 x 10^16) / (1 x 10^12) = 4.7891 x 10^4 seconds

Therefore, it will take approximately 47,891 seconds (or 13.3 hours) to find a collision at 10% probability with a computer that can process a trillion hashes per second.

Know more about  computations here:

https://brainly.com/question/29558206

#SPJ11

\(\huge\boxed{\boxed{Hello!}}\)

We are given the  slope of the line and a point that it passes through.

We can use the Point-Slope Formula:

\(\huge\boxed{\boxed{y-y1=m(x-x1)}}\)

Where

y1 stands for y-coordinate of the point

m stands for the slope of the line

x1 stands for the x-coordinate of the point

Plug in the values and solve:

y-(-4)=-3(x-(-1)

y+4=-3(x+1)

y+4=-3x-3

y=-3x-3-4

y=-3x-7

\(\huge\boxed{\mathbb{ANSWER:{\boxed{\sf{y=-3x-7}}}}}}\)

\(\bigsta\)\(\bigstar\) Hope it helps!

\(\bold{Enjoy~your~day!}\)

\(\rm{FabulousKingdom:-)\)

Answer:

Hi I love you and I miss you

I don't know the answear sorry

So

EG=y+5=2.5+5=7.5

Answer:

48 units squared

Step-by-step explanation:

You can find the number of squares in each sector by multiplying by the width and height.

So we have 4 boxes that have 10 squares each giving us 40 squares for the 4 boxes plus the other 2 boxes that have 4 squares each.

4 * 10 + 2 * 4 = 48

We get 48 inches squared.

If this answer helped, consider marking as brainliest!

Cheers!

The plane is defined by the equation, x = -3.

To find the equation:

The distance from p(-9, 0, 0) seems to be:

The separation from q(3,0,0) would be:

Let's make them the same size as follows;

Square both sides before simplifying:

Therefore, the plane is defined by the equation, x = -3.

Know more about equations here:

https://brainly.com/question/13763238

#SPJ4

The complete question is given below;
Find an equation, or a set of equations, to describe the set of points that are equidistant from the points p(−9, 0, 0) and q(3, 0, 0). (enter your answers as a comma-separated list of equations.)

Answer:

294 (i think not sure so plz double check if you can )

Step-by-step explanation:

Answer:

196

Step-by-step explanation:

Answer: On interval f(x) is increasing =  \(( -\infty, -2)\)

On interval f(x) is decreasing = \(( -\infty, -2)\)

Step-by-step explanation:

The given function: \(f(x)=-(x+2)^2+4\)

The graph of the function is attached below

In graph , function is increasing till point (-2,4) or x=-2 and then it is decreasing.

So f(x) is increasing in \(( -\infty, -2)\) and decreasing in \((-2, \infty)\)

So, On interval f(x) is increasing =  \(( -\infty, -2)\)

On interval f(x) is decreasing = \(( -\infty, -2)\)

If x is the largest side :

If 4.1 is the greatest side :

Range of possible sizes for side 'x' :

Answer: 4 yards

Step-by-step explanation:

      The diameter is equal to the radius times 2.

      We will multiply the given radius by 2 to find the diameter.

                    2 yards * 2 = 4 yards

Answer: 4 yards

Step-by-step explanation: Since the radius is half of the circle, you multiply it by two to get the diameter.

The correct option is (C) Isosceles. An Isosceles triangle can be constructed with a 50° angle between two 8-inch sides.

This is because isosceles triangle having two sides that are equal in length, and have 50° angle, which is acute angle, that is less than 90°. This state that the remaining angle in the triangle must also be acute triangle, as the sum of all angles in a triangle must equal 180°.

This means that the remaining angle must be 80° (i.e. 180 - 50 = 80). An isosceles triangle is triangle consisting of  two sides of equal length and two angles of equal measure. The two equal sides that make up the isosceles triangle are referred to as the base and the remaining side is height or altitude.

To know more about An Isosceles triangle:

brainly.com/question/29793403

#SPJ4

\(\pi \times d\)

22/7×21.6

=67.88

=70

The stress function satisfies the conditions of compatibility for a two-dimensional problem.

Given stress function is 50x² - 60xy - 70y²

To determine whether the stress function satisfies the conditions of compatibility for a two-dimensional problem, it is required to find the strains and then check for compatibility equations.

Strain components are given as,

εx = ∂υ/∂x + (du/dx)

εy = ∂υ/∂y + (du/dy)

γxy = ∂υ/∂y + (du/dx)

Here,

υ = 50x² - 60xy - 70y²

du/dx = 100x - 60

ydu/dy = -60x - 140y

∂υ/∂x = 100x - 60y

∂υ/∂y = -60x - 140y

∂²υ/∂y² = -140

∂²υ/∂x² = 100

Now,εx = 100x - 60

yεy = -140y - 60

xγxy = -60y - 60x

Taking derivative of εy w.r.t x,

∂(εy)/∂x = -60

Similarly, taking derivative of εx w.r.t y,

∂(εx)/∂y = -60

∴ The stress function satisfies the conditions of compatibility for a two-dimensional problem.

Stress components are given as,

σx = (C11εx + C12εy)

σy = (C21εx + C22εy)

τxy = (C44γxy)

Here,C11 = C22 = 100, C12 = C21 = -60 and C44 = 0

Therefore,

σx = 100(100x - 60y) - 60(-140y - 60x)

= 19600x - 8800

yσy = -60(100x - 60y) + 100(-140y - 60x)

= -19600y + 8800x

τxy = 0

To know more about stress visit:

https://brainly.com/question/31366817

#SPJ11

The value of the correlation coefficient based on the provided R-squared is approximately 0.995562, indicating a strong positive linear relationship between leaf water potential and sap flow velocity for tree #2.

The correlation coefficient, denoted as "r," is a measure of the strength and direction of the linear relationship between two variables.

It ranges between -1 and 1, where -1 indicates a perfect negative correlation, 1 indicates a perfect positive correlation, and 0 indicates no correlation.

In the given least squares regression output, the value of R-squared (R-sq) is provided as 0.99115489.

R-squared represents the proportion of the total variation in the dependent variable that can be explained by the independent variable(s).

It is calculated as the squared value of the correlation coefficient (r).

To find the value of the correlation coefficient based on R-squared, we take the square root of R-squared:

r = √(R-sq)

Using the given value of R-squared (0.99115489), we can calculate the correlation coefficient:

r = √(0.99115489) ≈ 0.995562

For similar question on correlation.

https://brainly.com/question/29704223  

#SPJ11

The volume of the solid region is approximately 10.4109 cubic units.

To find the volume of the solid region lying below the surface z = f(x,y) and above the plane region R, we can use the formula:

V = ∬R f(x,y) dA

where dA is the area element in the xy-plane and the double integral is taken over the region R.

To evaluate this integral, we first need to perform a change of variables. Let u = x + y and v = x - y. Then the inverse transformations are x = (u + v)/2 and y = (u - v)/2. The Jacobian of this transformation is:

J = ∂(x,y) / ∂(u,v) = 1/2

Next, we need to express the surface z = f(x,y) in terms of u and v. Using the substitutions x = (u + v)/2 and y = (u - v)/2, we get:

f(x,y) = (x+y)ex-y = [(u+v)/2 + (u-v)/2]e(u-v)/2 = ueu/2

So the volume of the solid is:

V = ∬R f(x,y) dA

= ∬R ueu/2 dA

= ∫₂⁴ ∫₂⁶ (u/2)e^(u/2) du dv (using the limits of integration for R in terms of u and v)

= ∫₂⁶ [e^(u/2)u²/4] from 2 to 4 dv

= ∫₂⁴ [e^(u/2)u²/4] from u-2 to 6 du

= 16(e^3 - e^2)/3

Therefore, the volume of the solid region is approximately 10.4109 cubic units.

Learn more about volume here

https://brainly.com/question/27710307

#SPJ11

The ladder on pulling 6 feet father from the house now reaches 45.83 feet, which is lower than previous height.

The distance between ladder and house, the distance till ladder reaches and length of ladder given by Pythagoras theorem. The distance till ladder reaches is perpendicular, ladder is hypotenuse and the base is horizontal distance between the two. So, finding the base first.

Base² = 50² - 48²

Base² = 2500 - 2304

Base² = 196

Base = ✓196

Base or horizontal distance = 14 feet.

Now, on moving 6 feet, the horizontal distance will be 14 + 6 = 20 feet. Finding the new height or perpendicular now.

50² = 20² + Perpendicular²

Perpendicular² = 2500 - 400

Perpendicular² = 2100

Perpendicular = 45.83 feet

Hence, the ladder now reached to 45.83 feet height of the house.

Learn more about Pythagoras theorem -

https://brainly.com/question/343682

#SPJ4

Answer:

Marcelo acertou 22 questões.

Step-by-step explanation:

Vamos representar

Questões que acerta = a

Questões que erra = b

a + b = 30 .......... Equação 1

a = 30 - b

o aluno ganha 3 pontos por cada questão que realizar, mas perde 2 pontos por cada questão que ocorrerá.

Matematicamente:

3 × a - 2 × b = 50

3a - 2b = 50 pontos ............. Equação 2

Substitua 30 - b por a na Equação 2

3 (30 - b) - 2b = 50

90 - 3b - 2b = 50

90 - 5b = 50

Colete termos semelhantes

90 - 50 = 5b

5b = 40

b = 40/5

b = 8

Questões que erra = b

Marcelo, portanto, perdeu 8 questões.

Dizem-nos que ele respondeu todas as 30 questões. Portanto, se ele perdeu 8 questões, o número de questões acertadas é representado pela Equação 1

a + b = 30 .......... Equação 1

a + 8 = 30

a = 30 - 8

a = 22 questões.

Portanto, ele acertou 22 questões.

The solution is x = 4/3 and y = -35/6.

The given equations are x - 2y = 13 and 3x + y = 4.

We need to find the numeric values of x and y by solving the given system of equations.

Rearrange the first equation to get x in terms of y.

x - 2y = 13Add 2y to both sidesx = 2y + 13

Substitute this value of x in the second equation.3x + y = 43(2y + 13) + y = 46y + 39 = 4

Subtract 39 from both sides6y = -35y = -35/6Now we have a value of y.

Substitute this value in either of the original equations to find the value of x.

                              x - 2y = 13x - 2(-35/6) = 13x + 35/3 = 13

Subtract 35/3 from both sidesx = 4/3

Therefore, the solution is x = 4/3 and y = -35/6.

Learn more about equations

brainly.com/question/14686792

#SPJ11