Help me please I need to turn it in before midnight...

Help Me Please I Need To Turn It In Before Midnight...

Answers

Answer 1

Answer:

The statement which explains how the total time spent in the air is affected as the projectile's angle of launch increases from 25 degrees to 50 degrees is;

C. Increasing the angle from 25° to 50° will increase the total time spent in the air

Explanation:

The equation that can be used to find the total time, T, spent in the air of a projectile is given as follows;

[tex]T = \dfrac{2 \cdot u \cdot sin(\theta) }{g}[/tex]

Where;

T = The time of flight of the projectile = The time spent in the air

u = The initial velocity of the projectile

θ = The angle of launch of the projectile

g = The acceleration due to gravity ≈ 9.81 m/s²

Given that sin(50°) > sin(25°), when the angle of launch, θ, is increased from 25 degrees to 50 degrees, we have;

Let T₁ represent the time spent in the air when the angle of launch is 25°, and let T₂ represent the time spent in the air when the angle of launch is 50°, we have;

[tex]T_1 = \dfrac{2 \cdot u \cdot sin(25^{\circ}) }{g}[/tex]

[tex]T_2 = \dfrac{2 \cdot u \cdot sin(50^{\circ}) }{g}[/tex]

sin(50°) > sin(25°), therefore, we have;

[tex]\dfrac{2 \cdot u \cdot sin(50^{\circ}) }{g} > \dfrac{2 \cdot u \cdot sin(25^{\circ}) }{g}[/tex]

Therefore;

T₂ > T₁

Therefore, increasing the angle at which the projectile is launched from 25° to 50° will increase the total time spent in the air.


Related Questions

a 200 kg rock lies on the surface of a planet. the acceleration due to gravity on the surface of the planet is 6,0. calculate the mass of the planet if it's radius is 700km​

Answers

Answer:

4.41 × 10²² kg

Explanation:

Let the mass of planet be M, rock be m

Therefore,

[tex]net \: force \: on \: rock \: = weight \\ (200)(6) = \frac{(6.67 \times 10 {}^{ - 11})(200)(m) }{(700000) {}^{2} } \\ m = 4.41 \times 10 {}^{22} \: kg[/tex]

When electrons are shared unequally a/an
bond is formed

Answers

Covalent bonds form when electrons are shared between atoms and are attracted by the nuclei of both atoms. In pure covalent bonds, the electrons are shared equally. In polar covalent bonds, the electrons are shared unequally, as one atom exerts a stronger force of attraction on the electrons than the other.

Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its temperature and that of its surroundings. Suppose that the temperature of a cup of coffee obeys Newton's law of cooling. If the coffee has a temperature of 190190 degrees Fahrenheit when freshly poured, and 11 minutes later has cooled to 172172 degrees in a room at 6060 degrees, determine when the coffee reaches a temperature of 122122 degrees.

Answers

Answer:

4.9 minutes

Explanation:

Given; T(t) = Ce^-kt + Ts

Now;

T(t) = 190 degrees Fahrenheit

Ts = 60 degrees

To obtain C;

190 = Ce^0 + 60

190 - 60 = C

C = 130

Hence, to find k when t=11

172 = 130 e^-11k + 60

172 -60/130 = e^-k

e^-k = 0.86

ln(e^-k) = ln( 0.86)

-k = -0.15

k = 0.15

Hence at 122 degrees, t is;

T(t) = Ce^-kt + Ts

122 = 130e^-0.15t + 60

122 - 60/130 = e^-0.15t

0.477 = e^-0.15t

ln (e^-0.15t) = ln (0.477)

-0.15t = -0.74

t = 0.74/0.15

t = 4.9 minutes

A 1,000 kg car traveling 15.0 m/s brakes and comes to a stop after traveling 20.0 m.


a. What is the car’s initial kinetic energy?
b. What is the car’s final kinetic energy?
c. How much work does it take to stop the car?
d. How much constant force is applied in bringing the car to a stop?

Answers

a. initial kinetic
Ek=1/2mv ²
Ek=1/2(1000)(15²)
Ek=112,500J

b. final kinetic energy=0J
as it comes to a stop so v=0

c. Work = ∆Energy
Or
Work=Fs

∆E/W= initial energy - final energy
∆E/W=112,500-0
∆E/W=112,500 J

d.W=Fs

112,500=F(20)
112,500/20 =F
F=5625 N

A. The car’s initial kinetic energy is 112500 J

B. The car’s final kinetic energy is 0 J

C. The amount of work done to stop the car is –112500 J

D. The force applied in bringing the car to a stop is –5625 N

A. How to determine the initial kinetic energy Mass (m) = 1000 KgInitial velocity (u) = 15 m/sInitial kinetic energy (KEᵢ) =?

KEᵢ = ½mu²

KEᵢ = ½ × 1000 × 15²

KEᵢ = 112500 J

B. How to determine the final kinetic energy Mass (m) = 1000 KgFinal velocity (v) = 0 m/sFinal kinetic energy (KEբ) =?

KEբ = ½mv²

KEբ = ½ × 1000 × 0²

KEբ = 0 J

C. How to determine the workdone Initial kinetic energy (KEᵢ) = 112500 J Final kinetic energy (KEբ) = 0 JWorkdone (Wd) =?

Wd = KEբ – KEᵢ

Wd = 0 – 112500

Wd = –112500 J

D. How to determine the force

We'll begin by calculating the acceleration. This can be obtained as follow:

Initial velocity (u) = 15 m/sFinal velocity (v) = 0 m/sDistance (s) = 20 mAcceleration (a) =?

v² = u² + 2as

0² = 15² + (2 × a × 20)

0 = 225 + 40a

Collect like terms

0 – 225 = 40a

–225 = 40a

Divide both side by 40

a = –225 / 40

a = –5.625 m/s²

Finally, we shall determine the force. This is illustrated below:

Mass (m) = 1000 KgAcceleration (a) = –5.625 m/s²Force (F) =?

F = ma

F = 1000 × –5.625

F = –5625 N

Learn more about energy:

https://brainly.com/question/10703928

Kepler's second law states that a line from the sun to a planet sweeps out equal areas in equal times. 2 d coordinate system with an elliptical orbit of planet around the sun. The elliptical orbit is centered at the origin. The Sun is located on the x axis between the origin and the far left edge of the orbit. The Planet is on the orbital path in the first quadrant and has a velocity vector that is pointing counter-clockwise on the orbital path. There is a line connecting the sun and the planet. The Perihelion is marked as the point where the orbit crosses the x axis closest to the Sun. The Aphelion is marked as the point where the orbit crosses the x axis farthest away from the Sun. The aphelion is the point in the orbit where the planet is the furthest distance from the sun, The perihelion is the point at which the planet is closest to the sun. At which point must the speed of the planet be greater

Answers

Answer:

the speed is higher in the PERIHELIUM

Explanation:

As stated in your statement, Kepler's second law says that a vector from the sun to the planet also sweeps equal in equal times. This is a consequence that the sun-planet system is isolated, therefore the angular momentum is conserved.

            L = r x p = m r x v

where m is the planet mass   and the Sun is considered fixed

Let's analyze this expression, if the anglar momentum  is a constant when r is less (perihelion) the speed must increase, so that the product remains fixed

So the speed is higher in the PERIHELIUM

A macro element that is a component of ATP

Answers

Phosphorus is a macro element that is a component of ATP.

Phosphorus is the answer

Excluding the noble gas group, how does the number of valence electrons in an element influence its chemical stability?
A. Elements with intermediate numbers of valence electrons are the last chemically stable.
B. Elements with the highest number of valence electrons are the most chemically stable.
C. Elements with intermediate number of valence electrons are the most chemically stable.
D. Elements wit the lowest number of valence electrons are the most chemically stable.

Answers

Answer:

C. Elements with intermediate number of valence electrons are the most chemically stable.

A volleyball of mass 0.28 kg is dropped from the top of the bleachers (height equals 12 m). What is the speed of the volleyball right before it hits the gym floor?

Answers

Answer:

hope this help pls give me brainless

The speed of the volleyball with a mass of 0.28 kg and height of 12 m will be 15.336 m/s.

What is Speed?

Speed is the rate of change of distance of an object with respect to time. Speed is a scalar quantity as it has only magnitude and no direction. The SI unit of speed is meter per second (m/s).

PE = KE

Potential Energy = Kinetic energy

mgh = 1/2 mv²

where, m is the mass of object,

g is the acceleration due to gravity,

h is the height of the object,

v is the speed of the object

gh = 1/2v²

2gh = v²

v = [tex]\sqrt{2gh}[/tex]

v = [tex]\sqrt{2(9.8)(12)}[/tex]

v = [tex]\sqrt{235.2}[/tex]

v = 15.336 m/s

Therefore, the speed of the volleyball will be 15.336 m/s.

Learn more about Speed here:

https://brainly.com/question/28224010

#SPJ2

Calculati rezistenta filamentului unui bec al lanternei de buzunar daca la tensiunea de 3,5 v el este parcurs de un curent cu intensitatea de 0,28 A

Answers

Answer:

Resistencia = 12.5 Ohmios

Explanation:

Dados los siguientes parámetros;

Voltaje = 3.5 Volts

Corriente = 0.28 Amps

Para encontrar el resistencia;

La ley de Ohm establece que a temperatura constante, la corriente que fluye en un circuito eléctrico es directamente proporcional al voltaje aplicado en los dos puntos e inversamente proporcional a la resistencia en el circuito eléctrico.

Matemáticamente, La ley de Ohm viene dada por la fórmula;

Voltaje = corriente * resistencia

Resistencia = voltaje/corriente

Resistencia = 3.5/0.28

Resistencia = 12.5 Ohmios

Por tanto, la resistencia del filamento de una linterna de bolsillo es de 12,5 ohmios.

.
[tex]25 {?}^{?} \times \frac{?}{?} [/tex]

Answers

Answer:

what is your exact question.

what are u asking exactly ?

The image above shows a raging mountain river in full flood. What do you think is making the water brown in color?

Answers

Answer:

FloodPlains

Explanation:

The floodplains mix with the dirt in the water in which then makes it brown. You're welcome:)

The floodplain is making the water brown in color.

A flood plain area can be defined as a specific land area prone to be flooding.

Floodplain areas are often found in the coastline of streams and/or rivers.

The brown color is due to the presence of soil that mixes with water.

In conclusion, the floodplain is making the water brown in color.

Learn more in:

https://brainly.com/question/1000851

This was merely an accident and I did not mean to post a question.

Answers

Answer:

ok  a good rest of your day

Explanation:

A satellite orbits earth at constant speed in circular orbit.Which statement is correct? A The resultant force on the satellite is zero. B The resultant force on the satellite is towards the Earth. C The resultant force on the satellite is away from the Earth. D The resultant force on the satellite is in the direction of motion.

Answers

Answer:

B The resultant force on the satellite is towards the Earth.

Explanation:

In the case when the satellite orbits earth would be at constant speed in the circular orbit so hee the resultant force that on the satellite would be with regard to the earth

So as per the given situation, the option B is correct

And, the rest of the options would be wrong

And, the same would be relevant

8.How long is a day? A year?

Answers

Answer:

24 hours. 365 days

Explanation:

An object of mass 1.5 kg is moving forwards along the floor against an applied force of
40.0 N [backwards]. If the coefficient of kinetic friction is 0.25, determine the
acceleration of the object.

Answers

Answer:

The acceleration of the object is -29.12 m/s².

Explanation:

The acceleration of the object can be calculated by Newton's second law:

[tex] \Sigma F = ma [/tex]

[tex] - F - F_{\mu} = ma [/tex]                        

[tex] - F - \mu mg = ma [/tex]                        

Where:

F: is the applied force = 40.0 N

μ: is the coefficient of kinetic friction = 0.25

m: is the mass of the object = 1.5 kg

g: is the acceleration due to gravity = 9.81 m/s²

a: is the acceleration =?

[tex] a = \frac{- F - \mu mg}{m} = \frac{-40.0 N - 0.25*1.5 kg*9.81 m/s^{2}}{1.5 kg} = -29.12 m/s^{2} [/tex]

The minus sign is because means that the object is decelerating due to the applied force and the friction.  

Therefore, the acceleration of the object is -29.12 m/s².

I hope it helps you!  

What is Newton’s 3rd Law of Motion?

a. Name an example and be sure to tell HOW it demonstrates the law.

Answers

Answer:

His third law states that for every action (force) in nature there is an equal and opposite reaction. In other words, if object A exerts a force on object B, then object B also exerts an equal and opposite force on object A. Notice that the forces are exerted on different objects.

Explanation:

____________ is the rate at which the electric charges move through a given area.
Magnetism
Current
Induction
Flux

Answers

Answer:

current is the rate at which the electric charges move through a given area

do the planets orbit the sun in a perfect circle

Answers

Answer:

All the planets in the Solar System orbit the Sun. When planets orbit the Sun, they don’t move around in a perfect circle. They all follow an 'elliptical path', meaning it looks more like an oval.

Explanation:

Answer:no planets orbit the sun in a perfect circle because they travel in a slightly elliptical orbit

Explanation:

A wire of radius 5 x 10⁻⁴ m is needed to prepare a coil of resistance 40 Ω. The resistivity of the material of the wire is 3.14x10⁻⁷ Ωm. Calculate the length of the wire.

Answers

Answer:

100 m

Explanation:

From the question,

R = Lρ/A.................... Equation 1

Where R = resistance of the wire, L = length of the wire, ρ = resistivity of the wire, A = cross sectional area of the wire.

But,

A = πr².................... Equation 2

Where r = radius of the wire.

Substitute equation 2 into equation 1

R = Lρ/πr²

Make L the subject of the equation

L = Rπr²/ρ...................... Equation 3

Given: R = 40 Ω, r = 5×10⁻⁴ m, ρ = 3.14×10⁻⁷ Ωm

Constant: π = 3.14

Substitute these values into equation 3

L = [40×3.14×( 5×10⁻⁴)²]/ (3.14×10⁻⁷)

L = 40×3.14×25×10⁻⁸/(3.14×10⁻⁷)

L = 100 m

Hence the length of the wire is 100 m

1. On planet Jupiter, the acceleration due to
gravity is about 26 m/s2. How high would a boy
be able to throw a ball on Jupiter if he can
throw it vertically 10m high on Earth?​

Answers

Answer:

The boy can throw the ball to a height of 3.85 m on Jupiter

Explanation:

We'll begin by calculating the initial velocity at which the ball is thrown on EARTH. This can be obtained as follow:

On Earth:

Acceleration due to gravity (g) = 10 m/s²

Maximum height (h) = 10 m

Final velocity (v) = 0 m/s (at maximum height)

Initial velocity (u) =?

v² = u² – 2gh (since the ball is going against gravity)

0² = u² – 2 × 10 × 10

0 = u² – 200

Collect like terms

0 + 200 = u²

200 = u²

Take the square root of both side

u = √200 m/s

Finally, we shall determine the maximum height of the ball at JUPITER. This can be obtained as followb

On Jupiter:

Acceleration due to gravity (g) = 26 m/s²

Initial velocity (u) = √200 m/s

Final velocity (v) = 0 m/s (at maximum height)

Maximum height (h) =..?

v² = u² – 2gh (since the ball is going against gravity)

0² = (√200)² – 2 × 26 × h

0 = 200 – 52h

Collect like terms

0 – 200 = –52h

–200 = –52h

Divide both side by –52

h = –200 / –52

h = 3.85 m

Thus, the boy can throw the ball to a height of 3.85 m on Jupiter.

A fruit basket of mass 44.5 kg weighs approximately how much in newton? (Answer should have a number and a proper unit) *

Answers

Answer:

445N

Explanation:

F=mg

m=44.5kg

g=10m/s2

F=44.5 * 10

=445N

Some people say that you can contract HIV by sharing a drink with someone who has HIV. True or false? Why?

Answers

Answer: This is definitely false... you have to.. have séx with someone who has H.I.V to actually get H.I.V

Temperature is independent of mass

A- True

B- False

Answers

Answer:

False. Temperature is independent of volume

Answer: the answer False sorry if its wrong

Explanation: have a nice day\night buddy

Can anyone help me!!!
I need this really soon!!!!

Q. Rama's weight is 40kg . She is carrying a load of 20 kg up to a height of 20 metres. What work does she do? Also mention the type of work

Also show step by step explanation. please!!

No links!!!!
No spams!!!!​

Answers

Answer:

W = 1,176 10⁴ J

Explanation:

Work is defined by

         W = F . d

bold indicates vectors

          W = F d cos θ

In this case we must find the force to raise the load and the branch, suppose that the rate of rise is constant, this is the most common case

       Σ F = 0

       F - W₁ - W₂ = 0

where W1 is the weight of the branch and w2 wl weight of the load

       F = (m₁ + m₂) g

This force is directed upwards and the displacement is upwards, therefore the angle is zero and the cos 0 = 1

we substitute in the work equation

        A = (m₁ + m₂) g d

let's calculate

        W = (40 + 20) 9.8 20

        W = 1,176 10⁴ J

This is the work done by the external force

The body needs small amounts of ________ to help enzymes break down proteins.

Answers

Answer:

I would say vitamin B-6

Explanation:

it is also known as pyridoxine. it helps ebzymes break down protein and carry the dismantled amino acids to the blood stream

Hope this helps ✌✌

Answer:

The body needs small amount of vitamin B-6 to help enzymes break down protein and carry the dismantled amino acids to the blood stream.

Un coche que lleva una velocidad constante de 90 km/hora durante 2 horas ¿Cuánto espacio recorre?Si encuentra un obstáculo en la carrera y tiene que parar 10 segundos calcula la aceleración

Answers

Answer:

(i) El coche recorre 180 kilómetros.

(ii) El coche decelera a razón de 2.5 metros por segundo al cuadrado.

Explanation:

El problema se divide en dos partes. La primera es el coche viajando a velocidad constante y la segunda consiste en una decelaración hasta alcanzar el reposo.

Primera parte - Viaje a velocidad constante

La distancia recorrida por el coche se calcula mediante la siguiente ecuación cinemática:

[tex]x = v\cdot t[/tex] (1)

Donde:

[tex]x[/tex] - Distancia recorrida, en kilómetros.

[tex]v[/tex] - Velocidad, en kilómetros por hora.

[tex]t[/tex] - Tiempo, en horas.

Si sabemos que [tex]v = 90\,\frac{km}{h}[/tex] y [tex]t = 2\,h[/tex], entonces la distancia recorrida por el coche es:

[tex]x = v\cdot t[/tex]

[tex]x = 180\,km[/tex]

El coche recorre 180 kilómetros.

Segunda parte - Deceleración

Asumiendo que la deceleración del coche es constante, se determina mediante la siguiente ecuación cinemática:

[tex]a = \frac{v-v_{o}}{t}[/tex] (2)

Donde:

[tex]v_{o}[/tex] - Velocidad inicial, en metros por segundo.

[tex]v[/tex] - Velocidad final, en metros por segundo.

[tex]t[/tex] - Tiempo, en segundos.

Si sabemos que [tex]v_{o} = 25\,\frac{m}{s}[/tex], [tex]v = 0\,\frac{m}{s}[/tex] y [tex]t = 10\,s[/tex], entonces la deceleración experimentada por el coche es:

[tex]a = -2.5\,\frac{m}{s^{2}}[/tex]

El coche decelera a razón de 2.5 metros por segundo al cuadrado.

A light wave has a frequency of 5 x 108. What is the wavelength of the light wave? (Assume the speed of light to be 3 x 108.)

Answers

Answer:

Wavelength of light wave = 0.6 m

Explanation:

Given:

Frequency of wave = 5 x 10⁸

Speed of light = 3 x 10⁸ m/s

Find:

Wavelength of light wave

Computation:

The size of a wave form is its spatial duration, or the duration in which the wave's form repeats.

Wavelength of light wave = Speed of light / Frequency of wave

Wavelength of light wave = [3 x 10⁸] / [5 x 10⁸]

Wavelength of light wave = 0.6 m

A 8.57-m ladder with a mass of 21.4 kg lies flat on the ground. A painter grabs the top end of the ladder and pulls straight upward with a force of 258 N. At the instant the top of the ladder leaves the ground, the ladder experiences an angular acceleration of 1.63 rad/s2 about an axis passing through the bottom end of the ladder. The ladder's center of gravity lies halfway between the top and bottom ends. (a) What is the net torque acting on the ladder

Answers

Answer:

[tex]1311.5\ \text{Nm}[/tex]

Explanation:

l = Length of ladder = 8.57 m

m = Mass of ladder = 21.4 kg

F = Force on ladder = 258 N

[tex]\alpha[/tex] = Angular acceleration = [tex]1.63\ \text{rad/s}^2[/tex]

g = Acceleration due to gravity = [tex]9.81\ \text{m/s}^2[/tex]

Net torque is given by

[tex]\tau=lf-\dfrac{l}{2}mg\\\Rightarrow \tau=8.57\times 258-\dfrac{8.57}{2}\times 21.4\times 9.81\\\Rightarrow \tau=1311.5\ \text{Nm}[/tex]

The net torque acting on the ladder is [tex]1311.5\ \text{Nm}[/tex].

A car moves 8 km from home to school and then back to the home. a) Calculate the Distance covered by this car. b) What is the Displacement for the whole trip?

Answers

Explanation:

Distance covered = Total distance travelled by the car

Since the car travels to school and back to home again,

Total diatance covered = 8 + 8 = 16km

Displacement = Shortest distance between start point and destination.

Since, the car returns back to home from school,

the start and destination point are same.

So Displacement = 0

Please solve Question 10

Answers

Answer:

Time = 0.6secs

Explanation:

10) Distance = speed * time

Given the following

Distance = 204m

Speed/velocity = 340m

Get the time

Time = distance/velocity

Time = 204/340

Time = 0.6secs

Other Questions
The diameter of a circle is 2 inches. What is the circle's circumference? d=2 in If . Ashley is identifying insects and finds a camo moth. A camo moth appears like a leaf and is able to easily blend in with its surroundings. Which of the following is one result of this characteristic? A. The camo moth needs less food. B. The camo moth uses less energy. C. The camo moth has fewer offspring to care for. D. The camo moth has a greater chance of survival. How might the original purpose of sea chanteys be connected to their rise in popularity during the pandemic? Someone plzzzz helppp meeee!!!!!!! cut your coat according to the size of cloth Sustainable development aims to achieve ecological balance at all costs for the benefit of the present and future generations. True False 5.0 LC)Read and match each sentence with its possible cause or effect. (8 points)Column AColumn BEl ambienteLa vegetacin era muy bonita.bEl humo.La falta de electricidadLos tornados causaron danos ala propiedadNo pudimos usar la televisiondespues del huracanSeronde o cuandoSpez encendioEl viento what is the simplified ratio of 6:4 please explain step by step Consider the key success factors of B2C. Is it only IT? What is most important? answer correctly if want brainly (NEED ANSWER ASAP what was the situation in the Philippines after the second world war?describe it? From a 18-foot roll of rubber hose, a person cuts lengths of 23 feet, 2 22 feet, and 6 61 feet. How much hose is left on the roll? which of the following statements are true A tangent line is perpendicular to the radius of a circle at the point of tangency. A tangent line is perpendicular to the diameter of a circle at the point of tangency. A tangent line is the perpendicular bisector of the radius of a circle.A tangent line intersects a circle at one point.A tangent line intersects a circle at two points.Every circle has exactly one tangent line to that circle. All of the following are characteristics of a laser diode except Jazz emerged as musicians combined elements of A. bluegrass, hip-hop, and concert band musicB. classical, ragtime, and bluesC. folk, rap, and movie musicD. classical, lullabies, and rock 'n' roll It was rare for children would turn in their ownparents for criticizing the Nazi regime 50 POINTS: Please help thank you so much!! (Image attached) The polygons are similar. Find the values of the variables. I know from the answer key that the answers are x=[tex]3 \sqrt{10} [/tex]and y=[tex]2 \sqrt{10} [/tex]but I'm not sure how to get there... Why does Nehru feel that it is difficult to praise Gandhi? Graphite, an allotrope of carbon, is converted into cubic diamond through a process that may take a billion years or longer. As illustrated above, scientists can make synthetic diamonds using a certain process in about one week. However, these synthetic diamonds have carbon atoms in a hexagonal lattice. Diamonds with a carbon atoms in a cubic lattice are not produced even though they are thermodynamically more stable than hexagonal diamond. Which of the following best justifies why the synthetic process produces hexagonal diamond and not the more thermodynamically stable cubic diamond?a. The amount of energy required to create new bonds between carbon atoms in cubic diamond is much greater than the amount of energy required to create hexagonal diamond. b. The amount of energy required to create new bonds between carbon atoms in cubic diamond is much smaller than the amount of energy required to create hexagonal diamond. c. The activation energy needed to form cubic diamond is much less than the activation energy needed to form hexagonal diamond. d. The activation energy needed to form cubic diamond is much greater than the activation energy needed to form hexagonal diamond.