a triangle has a base of 9 feet and a height of 12 feet. what is the area of the triangle? responses 42 ft2 42 ft, 2 54 ft2 54 ft, 2 84 ft2 84 ft, 2 108 ft2

Answer:

Vectors have both magnitude and direction

Explanation:

Vectors show how strong the force in because the bigger the arrow, the stronger the force.  Also, it obviously shows direction because its an arrow.

Vectors have magnitude and direction while scalars have only magnitude. Vectors are shown using an arrow above the symbol of the quantity and are often printed in bold face.

In Physics, we generally recognize two categories of quantities; vector quantities and scalar quantities.

Vector quantities have both magnitude and direction. It is normal to print vectors in bold face, with an arrow written above the symbol of the quantity. The arrow points in the direction of the vector.

The following are true regarding vectors;

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The process involves using the Mach angle formula and the Prandtl-Meyer function, along with the isentropic relation for supersonic flow.

To calculate the deflection angle of the corner in a supersonic flow, we can use the Prandtl-Meyer expansion theory.
Given the initial Mach number (m1) of 1.58 and the initial pressure (p1) of 1 atm, we need to find the deflection angle.
First, we can use the Mach angle formula:
Mach angle (θM) = arcsin(1/m1)
Substituting the given Mach number, we have:
θM = arcsin(1/1.58)
Using a calculator, we find that θM is approximately 37.1 degrees.
Next, we can use the Prandtl-Meyer function to find the Mach angle downstream of the corner (θ2). The Prandtl-Meyer function relates the Mach angles before and after the expansion.
The Prandtl-Meyer function is defined as:
ν(M) = √((γ+1)/(γ-1)) * arctan(√((γ-1)/(γ+1)*(M²-1))) - arctan(√(M²-1))
where γ is the ratio of specific heats and M is the Mach number.
To find θ2, we can rearrange the equation and solve for M2 (Mach number downstream of the corner):
M2 = √(1 + (ν2/√((γ+1)/(γ-1))))
Since ν1 = θM and ν2 = θ2, we can rewrite the equation as:
M2 = √(1 + (θ2/√((γ+1)/(γ-1))))
Now, we can find the Mach number downstream of the corner using the given pressure downstream (p2 = 0.1306 atm) and the ratio of specific heats (γ).
Using the isentropic relation for supersonic flow:
(p2/p1) = (1 + ((γ-1)/2)*M2²)^(γ/(γ-1))
Substituting the given values, we have:
(0.1306/1) = (1 + ((γ-1)/2)*M2²)^(γ/(γ-1))
Solving this equation will give us the Mach number downstream of the corner (M2).
Finally, using the equation:
θ2 = ν2 - ν1
we can find the deflection angle (θ2) by subtracting the Mach angle before the corner (θM) from the Mach angle downstream of the corner (θ2).
In conclusion, to calculate the deflection angle of the corner in a supersonic flow, we can use the Prandtl-Meyer expansion theory. By finding the Mach angle before and after the corner, and subtracting them, we can determine the deflection angle. The process involves using the Mach angle formula and the Prandtl-Meyer function, along with the isentropic relation for supersonic flow. By substituting the given values, we can find the Mach number downstream of the corner and calculate the deflection angle.

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The total power dissipated by the resistor is 150 V x 1.33 A = 199.5W.

Since the voltage of the battery is 150 volts, and the resistance of the resistor is 200ω, then the current through the resistor is equal to 150V/200ω = 1.33 A.

As a result, the resistor dissipates a total of 150 V x 1.33 A = 199.5 W of electricity.

Power in physics is the amount of energy that is transferred and converted in a given amount of time. The International System of Units uses the watt, or one joule per second, as the unit of power. In older texts, power is frequently referred to as activity. Power is a scalar quantity.

Other aspects have been linked to power; for example, the product of a ground vehicle's velocity, traction force on its wheels, and aerodynamic drag equals the power needed to propel the vehicle.

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The time elapsed while the motorcycle moves the distance is 4.8sec.

Given quantities are,

Since the acceleration of motorcycle is constant, we can apply two of the three equations of motion for uniform acceleration here.

Substituting the given values in third eq of motion, we get

⇒\((45.8)^{2} =(34.9)^{2} +2*194*a\)

this gives, acceleration, a=2.267 ft/\(s^{2}\) (...1)

Now by substituting value of acceleration obtained above along with the given data in first eq of motion, we get;

⇒ 45.8=34.9+ 2.26*t

⇒45.8 - 34.9 = 2.26*t

⇒t = 10.9/2.26

⇒t=4.8 sec

Therefore, 4.8 sec have elapsed when the motorcycle has covered distance of 194 ft along with the given set of initial and final velocity.

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Answer:

B

Explanation:

The appropriate choice to address the concern of interference from Earth's atmosphere would be:

B. Digital; digital signals can be designed to minimize the effect of interference.

Answer:

155mEq/L Cl-

Explanation:

A Ringer’s solution contains the following concentrations of cations: 146 mEq/L of Na+, 5 mEq/L of K+, and 4 mEq/L of Ca2+.

As Cl- is the only counterion of those cations:

For Na, the molecule is NaCl and the mEq/L of Cl- = mEq of Na+. The Cl- of the first ion is 146mEq/L Cl-

For K+, The molecule is KCl, mEq Cl- = 5mEq/L Cl-

And, for Ca2+, The molecule is CaCl2 but the equivalents of Ca2+ = Equivalents of Cl- = 4mEq/L Cl-

The total concentration of Cl- are:

146 + 5 + 4 =

Answer:

.

Explanation:

Red giants are cooler and more luminous compared to main sequence stars due to their larger size and lower surface temperatures.

The comparison of temperature and absolute magnitude between red giants and main sequence stars can be explained as follows:

Red giants are cooler and more luminous than main sequence stars. The temperature of red giants is lower because they have expanded and cooled during their evolutionary process.

Their temperatures typically range from 3,000 to 4,000 Kelvin, resulting in a reddish appearance. Main sequence stars, on the other hand, have higher temperatures, ranging from 5,000 to 6,000 Kelvin, giving them a yellow-white appearance like our Sun.

In terms of absolute magnitude, red giants are more luminous than main sequence stars because their larger size enables them to produce more light, despite having a cooler surface temperature.

The absolute magnitude of red giants can be thousands of times greater than that of main sequence stars.

In summary, red giants are cooler and more luminous compared to main sequence stars due to their larger size and lower surface temperatures.

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The resulting equation of motion for the system is given by m × x''(t) + k × x(t) = f(t), which is 2 × x''(t) + 18 * x(t) = 2 * sin(2t).

What is  equation of motion?

The equations of motion are a set of mathematical relationships that describe the motion of objects under the influence of forces. There are different sets of equations of motion, depending on the specific scenario and the type of motion being considered (linear motion, projectile motion, circular motion, etc.). The equations of motion for linear motion, also known as the equations of uniformly accelerated motion.

To find the equation of motion for the system, we start with Newton's second law of motion, which states that the sum of forces acting on an object is equal to the mass of the object multiplied by its acceleration. In this case, the object is the 2-kg mass attached to the spring.

The force exerted by the spring is proportional to the displacement of the mass from its equilibrium position, and it can be expressed as F_spring = -k× x(t), where k is the spring constant and x(t) is the displacement of the mass at time t.

In addition to the force exerted by the spring, there is an external force f(t) = 2 ×sin(2t) acting on the mass.

Applying Newton's second law, we have the equation of motion: m ×x''(t) + k ×x(t) = f(t).

Substituting the given values, m = 2 kg and k = 18 N/m, we obtain 2 ×x''(t) + 18 × x(t) = 2 ×sin(2t).

Therefore, the resulting equation of motion for the system is 2 × x''(t) + 18 × x(t) = 2 × sin(2t).

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The string tension can be calculated by considering the forces acting on the hanging object and the wheel

Regarding the agreement between measurements and predictions, it depends on the specific experiment or system being studied. In general, there can be various sources of error and uncertainty that may limit the accuracy of measurements and analysis. These can include limitations of the measurement instruments, environmental factors, and human error.The tension force keeps the string under constant stress, preventing it from becoming slack.To determine the pull of the string on the hanging object and vice versa, one can use Newton's second law, which states  that the force is equal to the mass times acceleration. Thus, the force of the string on the hanging object and the force of the hanging object on the string would be equal to the mass of the hanging object times its acceleration.

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The basic sciences are defined as the scientific disciplines of mathematics, physics, chemistry, and biology. They are called basic sciences because they provide a fundamental understanding of natural phenomena and the processes by which natural resources are transformed.

The breaking force, given that the truck reduces it speed from 12 m/s to 6 m/s over a distance of 40 m is -2700 N

We'll begin by obtaining the deceleration of the truck. Details below:

v² = u² + 2as

6² = 12² + (2 × a × 40)

36 = 144 + 80a

Collect like terms

36 - 144 = 80a

-108 = 80

Divide both side by 80

a = -108 / 80

a = -1.35 m/s²

Finally, we shall determine the breaking force. Details below:

Force = mass × deceleration

Breaking force = 2000 × -1.35

Breaking force = -2700 N

Thus, the breaking force is -2700 N

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Answer:

Yes, in case of uniform velocity

Explanation:

This is the case of uniform velocity. If a body covers equal displacement in equal intervals of time, then the velocity of a body is said to be ‘Uniform Velocity’. It meas that the velocity of a body remains constant during the motion and it does not change.

Since, acceleration is defined as the rate of change of velocity.

Therefore, if there is no change in velocity or in other words the change in velocity is zero, then the acceleration is also zero.

a = ΔV/t = 0/t

a = 0 m/s²

So, the acceleration of the body is 0 m/s², but it has a uniform velocity

Hence, it is possible for an object that, object with zero acceleration have velocity, which is the case case of uniform velocity.

Answer:

you need kinetic energy because it is the energy that is used when In motion

The type of energy that one acquire when you eat a bowl of hot vegetable soup is chemical energy.

Chemical power the bonds of chemical molecules contain energy. Exothermic reactions are those in which chemical energy is released during the reaction, frequently in the form of heat.

Some of the heat energy needed for a reaction to continue can be stored as chemical energy in newly created bonds.

Food particles go through a chemical reaction that releases chemical energy when we eat it. The body then uses this energy to carry out its regular tasks.

As a result, when you eat a cup of vegetable soup, you also consume the chemical energy it contains.

Thus, the answer is chemical energy.

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ANSWER

False.

EXPLANATION

In radioactive decay (or nuclei decay), an unstable nucleus emits radiation into a nucleus that is table and has less energy and a lower mass.

Therefore, nuclei decay from a less stable form to a more stable form.

The answer is false.

Question

Which particles act together to make atoms behave as solids

Answer:

Electrons. Mutually repel elections of other atoms when they get close

Explanation:

A demonstration of the behavior of particles as solids, liquids and gases. Crystals, on the other hand, aren't at all haphazard. Particles are held together by forces of attraction. Protons (+) and Electrons (-) Which subatomic particles act together to make atoms behave as a solids because they are found buzzing around the nucleus.

The static coefficient of friction between car tires and a road is called the coefficient of static friction.  

The coefficient of static friction is a dimensionless constant that describes the frictional force that acts between two surfaces when they are in contact but not in relative motion.  In case of a car's tires on a road, the coefficient of static friction determines maximum force that can be applied to the wheels before they start to slip and lose traction. The coefficient of static friction depends on the materials and surface properties of two contacting surfaces and can be determined experimentally through various methods, such as using a force sensor to measure the force required to move one surface over other.

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C

Explanation:

It means how hard the activity is performed.To improve cardio respiratory endurance, the frequency of the workout sessions should be: 5 to 7 sessions per week.

Given wavelength λ=435λ=435 nm, we can find the frequency by using the formula f​=c​/λ                  f=6.89×1014 Hz

The area of space surrounding any electrically charged particle and object where the charge body perceives force is known as the electric field.Examples are:Charges and their arrangements, such as in capacitors and battery cells, produce electric fields.

Volts / metre (V/m) is the electrical field's SI unit.The Newton's per coulomb unit is the same as this one.These units are derivations from Newton, which stands for force, and Coulomb, which stands for charge.

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The concentrated reaction to the column due to the weight of the slab on a single level is 37,500 lb.

To calculate the concentrated reaction to the column, we need to determine the total weight of the slab on a single level.

Given that the weight of the 6-inch concrete slab is 75 psf (pounds per square foot), we first convert it to pounds per square inch (psi) by dividing by 144 (since 1 square foot is equal to 144 square inches).

Weight of slab per unit area = 75 psf / 144 = 0.5208 psi

Next, we calculate the area of the slab on a single level by multiplying the spacing in the long direction (25 ft) by the spacing in the short direction (20 ft).

Area of slab = 25 ft * 20 ft = 500 sq. ft

Finally, we multiply the weight per unit area by the area of the slab to find the total weight of the slab on a single level.

Total weight of slab = 0.5208 psi * 500 sq. ft = 260.4 lb

Therefore, the concentrated reaction to the column due to the weight of the slab on a single level is 37,500 lb.

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The angular momentum of the boulder when it is halfway down the hill can be calculated by considering its rotational motion and applying the principles of conservation of energy and angular momentum.

To determine the angular momentum, we can use the conservation of angular momentum principle, which states that the initial angular momentum is equal to the final angular momentum. Since the boulder starts from rest, its initial angular momentum is zero. As it rolls down, both its translational and rotational motion contribute to its angular momentum.

The moment of inertia (I) of the boulder about its center of mass is given by I = (2/5) * m * r^2, where m is the mass of the boulder and r is its radius. The angular velocity (ω) can be calculated using the relationship ω = v/r, where v is the linear velocity. To find v, we can use the conservation of energy principle, equating the gravitational potential energy at the halfway point to the sum of the translational and rotational kinetic energy. Once we have the angular velocity, the angular momentum (L) at the halfway point can be calculated as L = I * ω.

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The mass of Deimos is approximately 9.52 x 10^15 kg.

To find the mass of Deimos, we can use the formula for gravitational force:F = G * (m1 * m2) / r^2. where F is the gravitational force between two objects, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between their centers of mass.

In this problem, we know the radius of Deimos (r = 6.3 km = 6.3 x 10^3 m), the mass of the rock on its surface (m1 = 3.0 kg), and the gravitational force between them (F = 2.5 x 10^-2 N). We can also look up the value of G: G = 6.674 x 10^-11 N(m/kg)^2.

We want to solve for the mass of Deimos (m2). Rearranging the formula, we get: m2 = (F * r^2) / (G * m1). Substituting the given values, we get: m2 = (2.5 x 10^-2 N) * (6.3 x 10^3 m)^2 / (6.674 x 10^-11 N(m/kg)^2 * 3.0 kg). m2 = 9.52 x 10^15 kg.Therefore, the mass of Deimos is approximately 9.52 x 10^15 kg.

It is worth noting that this calculation assumes that the rock on Deimos' surface is not affecting its orbit significantly. In reality, the gravitational force between the rock and Deimos would cause some perturbations in Deimos' orbit, but they are likely to be very small due to the small mass of the rock compared to Deimos.

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To find the mass of Deimos, we can use the gravitational force formula:
F = G * (m1 * m2) / r^2

Where F is the gravitational force (2.5 * 10^(-2) N), G is the gravitational constant (6.674 * 10^(-11) Nm^2/kg^2), m1 is the mass of Deimos (which we want to find), m2 is the mass of the rock (3.0 kg), and r is the distance between their centers, which is equal to Deimos' radius (6.3 km or 6300 m).

Rearranging the formula to solve for m1 (the mass of Deimos):

m1 = (F * r^2) / (G * m2)

m1 = (2.5 * 10^(-2) N * (6300 m)^2) / (6.674 * 10^(-11) Nm^2/kg^2 * 3.0 kg)

After calculating, we find that the mass of Deimos is approximately 1.0 * 10^15 kg.

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Answer: What are the choices

Explanation:?

Answer:

d

Explanation:

the spring depends on gravity and friction

The speed of the kaon is v = 0.85 c with a rest mass of \(\rm 494 \ MeV/c^2\) and the proton has a rest mass of \(\rm 938\ MeV/c^2\).

From the given,

rest mass of kaon = \(\rm 494 \ MeV/c^2\)

rest mass of proton = \(\rm 938\ MeV/c^2\)

Total energy, \(\rm E = \frac{mc^2}{\sqrt{(\frac{1-v^2}{c^2})}}\)

For the kaon,

\(\rm E = mc^2\) = 494 MeV

Total energy, E = 938 MeV

Total energy,
\(\rm \frac{E}{E} &= \frac{938}{494} \\&= 1.90 \\\rm \frac{1}{\sqrt{(\frac{1-v^2}{c^2})}} &= 1.90\\\rm \frac{v}{c} &= 0.850\\\rm v &= 0.85\ c\)

Where c is the speed of light.

Hence, The velocity v = 0.85 c of the proton.

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Answer:

The displacement of Sudhir is 0.781 km.

Explanation:

Given;

initial distance, d₁ = 0.4 km = 400 m, N60.0°W

final distance, d₂ = 0.5 km

Make a sketch of Sudhir motion to form a right angled triangle;

(Check image uploaded).

Apply cosine rule to determine d "displacement"

d² = 500² + 400² - (2 x 500 x 400 x cos 120)

d² = 410,000 - (400,000 x -0.5)

d² = 410,000 - (-200,000)

d² = 410,000  + 200,000

d² = 610,000

d = √610000

d = 781.03 m

d = 0.781 km

Therefore, the displacement of Sudhir is 0.781 km.

If higher-frequency standing wave in the cavity produces nodal planes with a spacing of 1.25 cm, the distance L between the walls of the cavity is 7.5cm.

The general formula for both ends closed is (n+1) λ/2

Let's say for n, \(\frac{\pi }{2} n = 1.5 = \pi = 3cm\)

for (n+1), λ(n+1)/2 = 1.25 = λ(n+1) = 2.5cm

∴ (n+1) (1.5) = (n+2)(1.25) = n = 4

∴  L = (4+1)(3/2) = L = 7.5cm.  

Electromagnetic waves, or EM waves, are waves produced by oscillations between electric and magnetic fields. In other words, EM waves consist of oscillating magnetic and electric fields. Gamma rays have the highest frequencies in the electromagnetic spectrum.

Most sunrise alarm clocks are yellow to simulate the brightness of the sun. This energizing color is the color your body naturally associates with the morning. Colors like purple and red are often used for simulating the sunset and may be more conducive to falling asleep.

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The wavelength of the signal of the state trooper's car sending a radar signal at a frequency of 14.6 GHz is 2.05 × 10⁻² m.

Wavelength is the separation between two consecutive waves corresponding points. When two points or particles are referred to be "corresponding points," it means that they are both in the same phase and have completed exactly the same portions of their periodic motion.

Wavelength is typically measured from crest to crest or from trough to trough in transverse waves (waves with points vibrating at right angles to the direction of their advance); from compression to compression or from rarefaction to rarefaction in longitudinal waves (waves with points vibrating in the same direction as their advance).

The following equation describes how a wave's frequency and speed are related to its wavelength:

λ =\(\frac{v}{f}\)

where,

λ is the wavelength

v is the speed of the wave

f is its frequency

 The radio signal of the car has a frequency of:

f= 14.6GHz = 14.6 × 10⁹ Hz

and a speed of:

v = 2.998 × 10⁻² m/s

Substituting the values:

λ = 2.02 × 10⁻² m

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A  minimum coating thickness of 10.35 cm would be required to render an aircraft invisible to a radar operating at 725 MHz.

In order to determine the minimum thickness of coating required to render an aircraft invisible to a radar operating at 725 MHz, we first need to know the wavelength of the radar signal. The wavelength can be calculated using the formula:

wavelength = speed of light / frequency

The speed of light is approximately 3 x 10^8 meters per second. Converting the frequency of 725 MHz to meters, we get:

wavelength = 3 x 10^8 / (725 x 10^6) = 0.4138 meters

Now, in order to render the aircraft invisible to this radar band, we need the coating thickness to be at least one-quarter of the wavelength. Therefore, the minimum thickness of the coating required would be:

minimum coating thickness = 0.4138 meters / 4 = 0.1035 meters

Converting the thickness to centimeters:

minimum coating thickness = 10.35 cm

Therefore, a minimum coating thickness of 10.35 cm would be required to render an aircraft invisible to a radar operating at 725 MHz.

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