30 unit If the value of an angle with the x-axis of a vector is 70 °, the value of the angle with the y axis is 60, what is the value of the angle with the z-axis?

Answers

Answer 1

Answer: [tex]37.28^{\circ}[/tex]

Explanation:

Given

Angle made with the x-axis is [tex]\alpha=70^{\circ}[/tex]

Angle made with the y-axis is [tex]\beta=60^{\circ}[/tex]

Suppose angle made with z-axis is [tex]\gamma[/tex]

[tex]\therefore \cos^2\alpha+\cos^2\beta+\cos^2\gamma =1[/tex]

Inserting values

[tex]\Rightarrow \cos^2(70^{\circ})+\cos^2(60^{\circ})+\cos^2\gamma=1\\\Rightarrow 0.1169+0.25+\cos^2\gamma=1\\\Rightarrow \cos^2\gamma=0.6331\\\Rightarrow \cos \gamma=0.7956\\\Rightarrow \gamma=37.28^{\circ}[/tex]


Related Questions

If an object has a potential energy of 15 J and a kinetic energy of 20 J. What is the mechanical energy of the object?

Answers

Answer:

Mechanical energy = 35 Joules

Explanation:

Energy can be defined as the ability (capacity) to do work. The two (2) main types of energy are;

a. Potential energy (P.E): it is an energy possessed by an object or body due to its position above the earth.

b. Kinetic energy (K.E): it is an energy possessed by an object or body due to its motion.

Furthermore, the mechanical energy of a physical object or body is the sum of the potential energy and kinetic energy possessed by the object or body.

Mathematically, it is given by the formula;

Mechanical energy = P.E + K.E

Given the following data;

Potential energy = 15 J

Kinetic energy = 20 J

To find the mechanical energy;

Mechanical energy = P.E + K.E

Mechanical energy = 15 + 20

Mechanical energy = 35 Joules

Answer:

Mechanical energy = 35 Joules

Explanation:

A car accelerates at a rate of 4.00 m/swest for 5.0 seconds. What is the car's change in
velocity?

Answers

Answer:

20 m/s

Explanation:

Acceleration = Change in velocity/ time

4 = Change in Velocity/ 5

Change in velocity = 20 m/s

What is the time it takes an object that moves at 25 m/min to travel 505 meters?

Answers

Answer:

25 meters = 1 minute

505 meters = ? minutes

Therefore, 505/25

Therefore, 101/5

Therefore, 2.2 minutes

It moves 505 meters in 2.2min

What and where is the asteroid belt?

Please ANSWER THIS

Answers

Answer:

The asteroid belt is a region of our solar system, between the orbits of Mars and Jupiter, in which many small bodies orbit our sun.

Explanation:

Hope this helps!

Answer:

The asteroid belt (sometimes referred to as the main asteroid belt) orbits between Mars and Jupiter. It consists of asteroids and minor planets forming a disk around the sun. It also serves as a sort of dividing line between the inner rocky planets and outer gas giants.

Explanation:

Hope this helps! :)

What are the northern lights?

Answers

Answer:

The northern lights, one of several astronomical phenomena called polar lights (aurora Polaris), are shafts or curtains of colored light visible on occasion in the night sky.

Explanation:

a baseball with a mass of 0.8 kg is moving at asperd of 45.0 m/s . what is the baseballs kinetic energy

SOMEONE HELP PLEASE!!

Answers

Answer:

0.5*0.8*45^2. =810J

Explanation:

KE=1/2 mv^2

When does the edge of the water advance farther inland- when the ocean's floor is a gradual slope or steep slope?

Answers

Answer:

The correct answer is when the slope is steep.

Explanation:

The advancement of water inland is dependent on the rate at which water wears off the continental shelf and the coastal plain. The higher the amount of rainfall, and the harshness of the dry spells, the faster the rate of erosion that occurs at the coastal plain.

As the erosion increases, the coastal plain becomes steeper. The steeper the plain, the water flowing erodes the coastal plain at a faster rate. Hence the water advances farther inland faster than where the slope is gentle or gradual.

Cheers

Technician A says that high-intensity discharge (HID) headlights are brighter and have a blue tint. Technician B says that one defective turn signal bulb can cause the turn signal on the affected side to stop blinking (flashing). Who is right?

a) technician A

b) technician B

c) both technicians A and B

d) neither technician A nor B

Answers

Answer:

The right option is;

d) Both technicians A and B

Explanation:

High-intensity discharge (HID) headlights is an electrical gas-discharge light that gives a very bright light when an arc is formed between the tungsten electrodes that have a transparent or translucent housing

The light is ideal for night driving due to its brightness and appear to have a bluish tint at night although the light produced by HID headlight is actually more similar to Sunlight around noon

A turn signal bulb is a flashing light indicator that shows that a vehicle is about to turn or change lanes

An issue with the wiring, a broken connection at the bulb socket or a burnt bulb can result in a condition of "no turn signal" in which the turn signal stops flashing or blinking. Therefore both technicians A and B are correct.

Can anyone plz send me the solved questions this is Energy chapter ​

Answers

Answer:

34' jhm

Explanation:

In which stage do stars spend most of their lifetime?

Answers

Answer:

Stars become the main sequence as they move through a galaxy. During this stage, it will fuse hydrogen atoms and form helium molecules in its core for 90 percent of its life. We are currently in the main sequence of our sun's life cycle.

Explanation:

PLEASE HELP ASAPPPP!!!!!


Katrina replaced the batteries in her camera with rechargeable ones. Later as she was recharging the batteries, Katrina told her mother “I am creating energy so that I can use these batteries again!” What was Katrina actually doing?

removing energy
destroying energy
transforming energy
repairing energy

Answers

She was actually removing energy

answer this question for brainlest and 20 points

Answers

I think is 3.5 pretty sure

Where electrons are held or stored​

Answers

Answer:

Held

~Hope it Helps!~

On a sunny day, as the distance from your hand to the ground increases, the shadow of your hand on the ground become fuzzier because:

Answers

Answer:

the Sun is a circle in the sky and that creates a penumbra

Explanation:

A penumbra is basically a lighter and hazy outer part of the shadow. It is the partially shaded portion of the outer region of a shadow that is cast by an opaque object.

In the context, as the distance from the hand to the surface of the ground increases on a sunny day, the shadow of the hand that falls on the ground becomes fuzzier because the sun is an opaque object in the sky and it creates a penumbra which makes the shadow of the hand on the ground fuzzier as the distance is increased.

When does the Northern Hemisphere receive more of the Sun’s thermal energy than the Southern Hemisphere?

a. When the North Pole is tilted away from the Sun.
b. When the North Pole is tilted toward the Sun.
c. The North Pole never receives more of the Sun’s thermal energy.
d. When the Earth is closer to the Sun during its orbit.

Answers

Answer:

B

Explanation:

The Southern Hemisphere reflects a tremendous amount of radiation during the December solstice.

Northern Hemisphere receives more of the Sun’s thermal energy than the Southern Hemisphere. in the situation when the North Pole is tilted toward the Sun.

What is Sun’s thermal energy?

One of the most important renewable energy sources is solar thermal energy. Solar thermal systems transform solar energy into heat.

Which may be used directly or converted into electricity for use in any application that can be served by conventional power.

The Northern Hemisphere is located well above the Equator, whilst the Southern Hemisphere is located below it.

The hemispheres include distinct quantities of land, ocean, and sea, as well as varied populations and climate patterns.

When the North Pole is tilted toward the Sun the Northern Hemisphere receives more of the Sun’s thermal energy than the Southern Hemisphere.

Hence option b is correct.

To learn more about the Sun’s thermal energy refer to the link;

https://brainly.com/question/24267059

what causes waves to slow down: change in wave’s wavelength or change in its frequency and y?

Answers

Answer:

Although the wave slows down, its frequency remains the same, due to the fact that its wavelength is shorter. When waves travel from one medium to another the frequency never changes.

in each of the following divide the second number by the first number and find the quotient:3/4,-3/8​

Answers

Answer:

[tex]\dfrac{-1}{2}[/tex]

Explanation:

We need to divide the second number by the first number and the numbers are 3/4,-3/8​.

First number = 3/4

Second number = -3/8

Dividing the second number by the first number.

So,

[tex]\dfrac{\dfrac{-3}{8}}{\dfrac{3}{4}}[/tex]

We know that,

[tex]\dfrac{\dfrac{a}{b}}{\dfrac{c}{d}}=\dfrac{a}{b}\times \dfrac{d}{c}[/tex]

So,

[tex]\dfrac{\dfrac{-3}{8}}{\dfrac{3}{4}}=\dfrac{-3}{8}\times \dfrac{4}{3}\\\\=\dfrac{-1}{2}[/tex]

So, the answer is (-1/2)

Roark saw Alejandro sitting by himself in the quad and leaning over, with his head resting on the heels of his hands. Roark approached him and said, "Hey Alejandro, you look sad." Alejandro responded, "Huh? No, I'm just thinking." Which difficulty in interpreting nonverbal behavior does this exchange exemplify?


A. Nonverbal messages are often ambiguous.

B. Nonverbal messages are continuous.

C. Nonverbal cues are multichanneled.

D. Nonverbal interpretation is culture-based.

Answers

Answer:

Option A

Explanation:

Nonverbal communications are ambiguous because some times the face expressions (non verbal signals – Sad face or sitting alone gesture of Alejandro) and the verbal signals (communication between Roark and Alejandro) do not match or contradict each other. Some people prefer to believe on their interpretations of the nonverbal  signals as compared to that of the verbal signals

Hence, option A is correct.

3. a) Your body is made up of several simple machines that help you move. Identify three
parts of your body that act as simple machines. Identify the kind of machine for each one
and explain what it does.

Answers

Answer:

Explained below

Explanation:

1) The human arm: This is a type of simple machine called "Lever". In this type of machine, the elbow acts as the fulcrum, the palm serves as the load because that's where we place the load we want to carry. While the inner part of the arm which is the inner part of the elbow represents the effort because that is the joint we mover when making use of our arms.

2) Pulleys: An example of this in the human body is the knee cap where the direction of an applied force is changed. Thus means as it is in motion, it alters the direction for which the quadriceps tendon pulls on the tibia.

3) wheel and axle: An example of this in the human body is the lateral rotation of the shoulder joint medial. The humerus which is the bone between the shoulder and elbow will act as the axle while the rotator will be the will because when it is rotated a little bit, the humerus will move along with it.

An Athelice complete :Round of a circular track of diameter 200m in base Distance travelled by athletes And displacement

Answers

Answer:

Distance = 1256 m

Displacement = 0

Explanation:

Distance :

Distance may be defined as the actual length between two points along its path.

It is a scalar quantity and its value can be positive or zero.

Displacement :

Displacement is defined as the shortest length between two point , i.e. between the initial point and the final point.

It is a vector quantity and it has values which can be either positive or negative or zero.

From the question, the diameter of the circular track is, r = 200 m

∴ Distance travelled by an athlete is = circumference of the circular track

                                                            = 2πr

                                                            = 2 x 3.14 x 200

                                                            = 1256 m

 Displacement = 0  (since the original point coincides with the final point).

3.- Un barco que tiene el motor averiado es ayudado por dos remolcadores para entrar en el puerto. Cada uno de ellos tira de él con una fuerza de 10000 N y ambas forman un ángulo de 60o. Calcula el módulo de la fuerza neta que actúa sobre el barco.

Answers

Answer:

F_total = 10000 N

Explanation:

For this exercise we use that the force is a vector and the best way to do the sum is that since the two tugs pull the boat with the same intensity and angle, the sum of the component of the force perpendicular to the movement becomes zero.

The components parallel to the movement of the tugs is

            ∑ F = 2 Fcos θ

let's calculate

           F_total = 2 10000 cos 60

           F_total = 10000 N

A charge of .006 C passes through a cross sectional area of a wire in 2 seconds. What is the current in the wire?

Answers

Answer:

0.003 A

Explanation:

Q = It

Q = charge = 0.006C

I = current = ?

t = time = 2 s

I = Q/t

I = 0.006 / 2

I = 0.003 A

nilai x
Hitung
3^x2 x 3^5x
= 3^24​

Answers

Answer:

x = - 8 atau 3

Explanation:

3ˣ² × 3⁵ˣ = 3²⁴

Penarikan:

Mᵃ × Mᵇ = Mᵃ⁺ᵇ

3ˣ² × 3⁵ˣ = 3ˣ²⁺⁵ˣ

Karena itu

3ˣ² × 3⁵ˣ = 3²⁴

3ˣ²⁺⁵ˣ = 3²⁴

x² + 5x = 24

Mengatur kembali

x² + 5x - 24 = 0

Pemecahan dengan faktorisasi

x² - 3x + 8x - 24 = 0

x (x - 3) + 8 (x - 3) = 0

(x + 8) (x - 3) = 0

x + 8 = 0 atau x - 3 = 0

x = - 8 atau x = 3

Karena itu,

x = - 8 atau 3

600.0 mL of air is at 27.0 °C. What is the
volume at 60.0 °C?

Answers

The answer is 682 mL

Which of the following describes a seamount?
A. ocean floor at the edge of a continental margin
B. underwater mountain range
C. sediment piled at the base of the continental slope
D. underwater volcano that is more than 1 km high

Answers

Answer:

B. underwater mountain range

Answer:

an underwater mountain range

A7
A car of mass 15ookg, tr
mass 15ookg, travelling at a
Steedy spead, has
kinetic energy of 2004
о a
What is
the speed of the car?
What is it

Answers

Answer:

v = 1.63 m/s

Explanation:

Given that,

The mass of a car, m = 1500 kg

The kinetic energy of a car, K = 2004 m/s

We need to find the speed of a car. The formula for the speed of a car is given by :

[tex]K=\dfrac{1}{2}mv^2\\\\v=\sqrt{\dfrac{2K}{m}} \\\\v=\sqrt{\dfrac{2\times 2004}{1500}} \\\\v=1.63\ m/s[/tex]

So, the speed of the car is equal to 1.63 m/s.

Answer:taking my points !

Explanation:

A planet outside of our solar system

Answers

Answer:

exoplanets is any planet beyond our solar system.

What is the force between a 3 C charge and a 4 C charge separated by a distance of 2 meter

Answers

Answer:

[tex]fr = \frac{9 \times 10 {}^{9} \times 3 \times 4}{2 {}^{2} } \\ fr = 27 \times 10 {}^{9} n[/tex]

A light ray bounces off a fish in your aquarium. It travels
through the water, into the glass side of the aquarium, and
then into air. As the light from the glass hits the air, the index of
refraction for air is much
than the index of refraction
for glass which causes the light to bend toward the angle that it
entered the air.

Answers

Answer:

Correct

Explanation:

Because the light can't travel as quickly in the water as it does in the air, the light bends around the pencil, causing it to look bent in the water. Basically, the light refraction gives the pencil a slight magnifying effect, which makes the angle appear bigger than it actually is, causing the pencil to look crooked.

Answer:

Because the light can't travel as quickly in the water as it does in the air, the light bends around the pencil, causing it to look bent in the water. Basically, the light refraction gives the pencil a slight magnifying effect, which makes the angle appear bigger than it actually is, causing the pencil to look crooked.

Explanation:

Uranium-238 undergoes alpha decay. In addition to the alpha particle, which isotope forms?

Answers

Answer: B - 234/90 TH

Explanation: A P 3 X

Answer: B - 234/90 TH

Explanation:

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