What is the volume of the composite figure? 140 cubic inches 147 cubic inches 168 cubic inches 196 cubic inches.
Answers
The composite figure is a combination of a rectangular pyramid and a rectangular prism, hence its volume is 140in³.
Rectangular Prism and PyramidA rectangular prism is simply a three dimensional solid shape with six faces that are rectangles.
Volume of a rectangular prism is expressed as;
V = w × h × l
Where l is length, h is height and w is width
A rectangular pyramid is simply a three-dimentional object with a rectangular shaped base and triangular shaped faces that correspond to each side of the base.
The volume of rectangular pyramid is expressed as;
V = (1/3) × l × w × h
Where l is the base length, w is the base width and h is the height of the pyramid.
From the diagram below;
Length of rectangular prism Lprism = 7inWidth of rectangular prism Wprism = 3inHeight of rectangular prism Hprism = 4inLength of rectangular pyramid Lpyramid = 7inWidth of rectangular pyramid Wpyramid = 3inHeight of rectangular pyramid Hpyramid = 12in - 4in = 8inFirst we calculate the volume of a rectangular prism.
V = w × h × l
V = 3in × 4in × 7in
V = 84in³
Hence, the volume of the rectangular prism is 84in³.
Next, we calculate the volume of rectangular pyramid.
V = (1/3) × l × w × h
V = (1/3) × 7in × 3in × 8in
V = (1/3) × 168in³
V = 56in³
Hence, the volume of the rectangular pyramid is 56in³.
Volume of the composite figure = Volume of prism + Volume of pyramid
Volume of the composite figure = 84in³ + 56in³
Volume of the composite figure = 140in³
Therefore, the composite figure is a combination of a rectangular pyramid and rectangular prism, hence its volume is 140in³.
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Related Questions
Explain Atmospheric Pressure and Wind
Answers
A radioactive sample starts with 800,000 undecayed nuclei. After 12 hours, 700,000 of the nuclei have decayed. What is the half-life of the sample?
A. 3 hours
B. 12 hours
C. 6 hours
D. 4 hours
Answers
Answer:
100,000 / 800,000 = 1 / 8 amount of sample after 12 hours
(1/2)^n = 1 / 8 after n half-lives 1/8 of sample will be left
n = 3
(D) is the correct answer - 1/2 half-life = 4 hours
What happens to Earth’s surface when horizontal pressure is applied to rocks?
Answers
Answer:
They fold to create ridges and valleys perpendicular to the direction to which pressure is applied.
Which situation results in no work being done?
O lifting an object off the ground
O throwing a baseball to your friend
O carrying a book at a constant velocity
O pushing a car that will not start out of the garage
Answers
Answer:
C
Explanation:
C should be the right answer
The picture shows volcanoes and a trench that form where plates move toward each other.
1. This type of boundary is called_______
2. The area where one plate moves under another is called ______
Answers
1. This type of boundary is called convergent
2. The area where one plate moves under another is called the subduction zone.
Hope that helps!
Which is a situation where two hockey pucks could have equal but opposite momentums? Assume that the ice is a frictionless surface.
A. if the hockey pucks weigh the same.
B. if the hockey pucks exert the same force on each other in the same direction while traveling at the same speed.
C. if the hockey pucks are traveling at the same speed, bounce off each other, and move in the opposite direction.
D. if the hockey pucks have the same mass.
Answers
it has to be C, assuming their masses are the same. As the momentum would be equally distributed as momentum must be conserved( because none is lost to friction on the ice).
What is the momentum of an object that has a mass of 0.03 grams and a velocity of 1200 m/s2
Answers
answer is 36
because the formulae of momentum is
mass×velocity
m=3000km v=25m/s what’s the momentum
Answers
Momentum of the given body will be : 75000 Kg m/s
Explanation:According to Newton's first law of motion, all bodies continue to be in the state of rest or motion unless an external force is applied on the body. We can use this in the case of momentum also
The formula of momentum is given by :
[tex]:\implies \sf\quad \sf \: P = mv[/tex]
Here, we are given the mass of the body ( m ) as 3000kg and the velocity of the body ( v ) as 25 m/s. On putting the values in the formula:
[tex] \begin{aligned}&:\implies \sf\quad \sf \: P = mv \\& :\implies \sf\quad \sf \: P = 3000 \times 25 \\ & :\implies \sf\quad \sf \: \boxed{ \sf \: P = 75000kgm {s}^{ - 1} } \end{aligned}[/tex]
Momentum is associated with the mass of the moving body and can be defined as the quantity of motion measured as a product of mass and velocity.
Answer :-
Momentum is [tex] \bf{75,000 \: {kg \: ms}^{ - 1} } [/tex] .Explanation :-
As per the provided information in the given question, we have been given that The Mass is 3000 kg . The Velocity is given as 25 m/s . And, we have been asked to calculate the Momentum .
For calculating the Momentum , we will use the Formula :-
[tex] \bigstar \: \: \: \boxed {\sf { \: Momentum \: = \: Mass \: \times \: Velocity \: }} [/tex]
Therefore , by Substituting the given values in the above Formula :-
[tex] \dag \: \: \: \sf { Momentum \: = \: Mass \: \times \: Velocity} [/tex]
[tex] \Longrightarrow \: \: \: \sf { Momentum \: = \: 3000 \: \times \: 25} [/tex]
[tex] \Longrightarrow \: \: \: \textbf {\textsf {Momentum \: = \: 75000 }} [/tex]
Hence :-
Momentum = [tex] \bf{75,000 \: {kg \: ms}^{ - 1} } [/tex] .[tex] \underline {\rule {180pt} {4pt}} [/tex]
How is the duration and intensity of daylight related to the suns apparent path?
Answers
Answer:
I dont know but ask a tutor
Explanation:
MOnkey Srry
A sound wave passes through regions of the ocean with varying density. How do the varying wavelengths correspond to the density of the water
Answers
Sound moves faster in the denser regions of the ocean than in the less dense regions of the ocean.
Speed of soundWe know that sound is a wave whose medium of propagation isthrough matter. Hence, sound move faster in a dense object than in a less dense object.
As such, sound moves faster in the denser regions of the ocean than in the less dense regions of the ocean.
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You want to determine whether the mass of an object attached to a parachute affects the time it takes to fall to the ground. In this investigation, would "the material the parachute is made out of" be a suitable control variable? no or yes
Answers
The material the parachute is made out of" will not be a suitable control variable as it is needed in the research.
What is a control variable?It should be noted that a control variable simply means any variable that is held constant in a research.
In this case, the material the parachute is made out of" will not be a suitable control variable as it is needed in the research.
Therefore, it's false.
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How are solar flares different from solar prominences.
Answers
Answer:
What is the difference between a prominence and a solar flare? A prominence is a loop of cool incandescent gas that extends above the photosphere. A solar flare is an explosive release of energy that comes from the sun and causes magnetic ditrubances.
Explanation:
Mike stands on a scale in an elevator. If the elevator is accelerating upwards with 4.9 m/s2, the scale reading is ____ times Mike's weight.
Answers
Answer:
F - M a force exerted by scales on student
M a = M (9.8 + 4.9) m/s^2 upwards chosen as positive
a = 1.5 g net acceleration of student due to force of scales
W =M g weight of student (actual weight)
Wapp = M 1.5 * g apparent weight (on scales) of student
In an elevator which is accelerating upwards with 4.9 m/[tex]s^{-2}[/tex], Mike's weight will be 1.5 times the actual weight.
In the question, it is given that the lift is accelerating upwards with 4.9 m/[tex]s^{-2}[/tex] Let Mike's weight be "m", "g" is acceleration due to gravity and "a" be the upward accelerationThe upward acceleration of lift = 4.9 m/[tex]s^{-2}[/tex]As the lift is accelerating upwards, the apparent weight (R) = m (g+a)Apparent weight R = m*(9.8+4.9) NApparent weight R = m*(9.8+4.9)/9.8 KgfApparent weight R = m*1.5Hence, the apparent weight will be 1.5 times the real weight.
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#SPJ2
how much should the telescope accelerate towards or away from the
Answers
How much should the telescope accelerate towards or away from the sun?
The angular velocity depends on the length of the orbit and the orbital speed of the telescope?
.................................
Answers
……
Followed by
……………
Your welcome
A toy car pushed across the floor is observed to slow down and stop based on Newton’s first law of motion what is the best conclusion
A : an object in motion eventually stops
B. The car must have been going slightly uphill
C. The car did not have enough mass to keep going
D. There must have been an unbalanced force acting on the toy car
Answers
An object in motion eventually stops because of friction.
What is Newton’s first law of motion?Newton's first law states that if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or continue its moving in a straight line at constant speed unless force is applied on it.
So we can conclude that An object in motion eventually stops is the correct answer.
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Suppose that your car is stuck on ice. The wheels spin, but the car does not move. Your friend suggests that you let the air out of the tires to increase the amount of friction. What are some reasons your friend might think this? Discuss whether or not these reasons are consistent with what you have learned about friction.
Answers
Explanation:
The center of mass of a system acted on only by internal forces cannot accelerate. without friction a car cannot move. This is a consequence of Newton's third law
What will an atom do if it has 1 to 3 valence electrons?
move electrons to a lower shell
move electrons to a higher shell
accepts (gains) electrons
donates (loses) electrons
Answers
Answer:
donates (loses) electrons
Explanation:
Atoms are most stable when they have zero valence electrons (full octets) and have the same electron configuration as the Noble Gases.
Atoms that have 1-3 valence electrons are most likely to donate them to reach this stable configuration.
An example is Sodium (Na) has 1 valence electron, as it is group one of the periodic table, and it often forms as a positive cation (Na+1) by donating its valence electron.
Two pulses are moving along a string. one pulse is moving to the right and the second is moving to the left. both pulses reach point p at the same instant. an illustration with a rectangular crest moving toward the right and a triangular trough going toward the left both toward point p and equidistant from p. which diagram shows the appearance of the string after the pulses pass point p? an illustration with the triangular trough in the middle of the rectangular crest to the left of point p. an illustration with the triangular trough in the middle of the rectangular crest to the right of point p. an illustration with a rectangular crest moving toward the right past p and a triangular trough going toward the left past p. an illustration with a rectangular crest moving toward the left and a triangular trough going toward the right both away from point p and equidistant from p.
Answers
The two pulses will have Constructive interference. Constructive interference occurs when the maxima of two waves add together (the two waves are in phase), so that the amplitude of the resulting wave is equal to the sum of the individual amplitudes.
What is constructive interference?
Constructive interference occurs when the maxima of two waves add together (the two waves are in phase), so that the amplitude of the resulting wave is equal to the sum of the individual amplitudes. Equivalently, the minima of the waves would be aligned
This is an example of a standing wave produced when two ends of a string are oscillated in the same plane. The displacement of of point on two ends oscillates vertically.
We are given that two pulses move along the string each coming towards each other and meet at a common point ( P ).
Each pulse have their own magnitude or displacement in the vertical plane. If the pulses are to meet at a common point at the same instant, then they interfere with each other constructively.
Where constructive interference of two pulses is the addition of magnitudes of induvidual pulses and form a single puls of the constructed magnitude.
magnitude ( New pulse ) = magnitude (Pulse 1) + magnitude (Pulse 2)
Hence the two pulses will have Constructive interference
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Answer:
C
Explanation:
edge 22
when a block is made of _____ the cylinders may eventually wear to the point where repairs are ineffective
Answers
When a block is made of rough surfaces, the cylinders may eventually wear to the point where repairs are ineffective.
What is Friction?This is the force which occurs when two surfaces slide against each other. A rough surface have more friction than a smooth surface.
Friction causes wearing out of surfaces and may render repair works done ineffective in this case.
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Which terms describe the different movements of earth? check all that apply. rotation revolution tilted orbit lunar cycle elliptical orbit
Answers
Revolution and rotation are the terms that describe the different movements of the earth.
What is the earth?Our home planet is Earth. Earth and its moon, according to scientists, originated about the same period as the rest of the solar system.
That would have been around 4.5 billion years ago, according to scientists. Earth is the solar system's fifth-largest planet.
The rotation and revolution of the earth are two different movements. The movement of the earth on its axis is known as rotation.
Revolution is the movement of the earth around the sun in a fixed route or orbit. The earth's axis, which is an imaginary line, forms a 6612° angle with its orbital plane.
Hence revolution and rotation are the terms that describe the different movements of the earth.
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Question 3 of 20
A crate falling from a plane is part of a closed system that has 24450 J of
mechanical energy. If the kinetic energy of the crate increases from 10,000 J
to 15,000 J, what happens to the gravitational potential energy of the system?
A. It decreases from 15,000 J to
10,000 J.
B. It increases from 9450 J to
14,450 J.
C. It decreases from 14,450 J to
9,450 J.
O D. It increases from 10,000 J to
15,000 J.
Answers
Old potential energy:-
PE+KE=MEPE=ME-KEPE=24450-10000PE=14450JNew potential energy
PE=24450-15000PE=9450JOption B is correct
If a wave has the length of 2 meters and it takes the wave 6 seconds to pass calculate the wave speed
Answers
Answer:
12 m/sec
Explanation:
lambda = 2 m
period = 6 seconds frequency = 1/p = 1/6
speed = lambda * freq
= 2 / 1/6 = 12 m/s
Neutrons are also known as____
neutrinos
photons
alpha particles
beta particles
Answers
Answer:
Beta Particles
Explanation:
a car of mass 800 kg is travelling at 12m/s the car accelerates over a distance of 240 m there force causing this acceleration is 200 newton determine the work done on the car and its final velocity car
Answers
Answer:
See below
Explanation:
Force X distance = work
200 N * 240 m = 48 000 N-m = 48 000 j
F = ma
200 = 800 a
a = 1/4 m/s^2
d = v t + 1/2 a t^2
12 m/s t + 1/2 1/4 m/s^2 t^2 = 240
shows t = 17 sec (via Quadratic Formula)
final velocity = 12 + at = 12 + 1/4(17) = 16.26 m/s
which is not one of the ways that codes of ethics can vary from each other?
a. authorship
b. level
c. principle
d. purpose
Answers
One of the ways in which code of ethics does not vary from each other is ; ( C ) Principle
What is code of ethics ?Code of ethics is a set of written principles that serves as a guideline to ethical behaviors expected from individuals under some form of authority usually at the place of work.
Code of ethics is different from code conduct because code of conduct is a set of rules that oultines the proper practices of individuals at the place of work. The code of ethics vary in autorship, level and purpose.
Hence we can conclude that One of the ways in which code of ethics does not vary from each other is ; ( C ) Principle
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You serve a volleyball with a mass of 2.1kg the ball leaves your hand with a speed of 30 m/s. What is the kinetic energy of the ball?
Answers
Answer:
945 joules
Explanation:
the formula for kenetic energy is:
0.5 × m × v^2
where m is in (kg) ane (v) is in meter per second.
so we can just use the formula;
0.5 × 2.1 × 30^2
so the answer is 945 joules
The dimensions of a triangle are shown below.
What is the area of the triangle?
Answers
Answer:
7. answered because ia an pro
Explanation:
[tex]area = \frac{1}{2} bh[/tex]
[tex]area = \frac{1}{2} \times 60 \times 50[/tex]
[tex]area = \frac{3000}{2} [/tex]
[tex]area = 1500mm ^{2} [/tex]
What are the three main guidelines in psychological research?
Answers
Answer:
Ethical Guidelines for Research With Human Subjects
Participation Must Be Voluntary.
Researchers Must Obtain Informed Consent.
Researchers Must Maintain Participant Confidentiality
Explanation:
Basta Yun na yan correct me if I'm wrong hehehhe
Which of the following can explains convection?
A.Hot air is less dense than cold air.
B.The wind blow takes place from higher position to lower position
C.The particles in hot air are lighter than those in cold air.
D.The gas pressure of hot air is greater than that of cold air.
E.The particles in hot air move quicker than that of cold air.
Answers
Answer:
A) would be the best explanation because hot air is less dense and would rise to the top of a column of air
