The expression that represents the volume of the prism is 30x² cubic units.
Option D) is the correct answer.
What is a prism?A prism is simply a solid geometric with two polygonal faces laying in parallel planes and with the other faces parallelograms.
Volume of a prism is expressed as;
Volume = base area × height
Also, the base area is expressed using the area of a trapezoid.
Hence,
Base area = (1/2) × h( a + b )
Now, let;
h = xa = xb = 2xBase area will be;
Base area = (1/2) × h( a + b )
Base area = (1/2) × x( x + 2x )
Base area = (1/2) × 3x²
Base area = 3x²/2
Now volume will be;
Volume = base area × height
Volume = 3x²/2 × h
So, let h be 20 units
Volume = 3x²/2 × 20uniit
Volume = 60x²/2
Volume = 30x² cubic units
Therefore, the expression that represents the volume of the prism is 30x² cubic units.
Option D) is the correct answer.
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What aspects of life is not generally affected by a disability?a.socialb.professionalc.financiald.family size
Blue collar workers typically receive __________ wages. a. commissioned b. hourly c. part-time d. salaried please select the best answer from the choices provided a b c d
The way blue collar workers typically receive their wages is; B: Hourly
How to Identify types of wages?
There are different ways of paying wages to workers. Wages is the renumeration due to a worker for a job done.
Now, the wages could be paid hourly, daily, weekly, monthly or any other agreed periods.
However, while white collar workers are usually paid monthly, blue collar workers are usually paid hourly.
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Answer: B. Hourly
Explanation: Blue collar workers typically receive hourly wages.
What is the relationship among evolutionary mechanisms and genetic diversity
Answer:
The effect of the evolutionary driving forces on genetic diversity and evolution depends on the amount of genetic variations that already exist in a population. The amount of genetic variation within a given population remains constant in the absence of selection, mutation, migration, and genetic drift [23].
Answer:
Evolution and diversity result from the interactions between organisms and their environments and the consequences of these interactions over long periods of time.
Explanation:
Describe which members of the b-24 flight crew carried out the main objective of the mission? what was the chief job of the other members?
The members of the b-24 flight crew is made up three specialists: the Flight Engineer; Radio Operator and Aircraft Armorer.
What is the flight crew about?The Tuskegee Airmen was said to have aided or worked a lot in the war against Germany. Note that the flight crew worked by escorting and protecting to bombers from any of enemy fighter pilots.
Note that they also carried out about 1500 missions over the enemy territories in Europe and they were said to have not lose any single bomber planes.
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How does the use of verbal irony contribute to the reader's understanding of pip?
Answer:
b
Explanation:
cause it is bozo
Angelo has $700,000 he wants to save. if the fdic insurance limit per depositor, per bank, is $250,000, which of these ways of distributing his money between three banks will guarantee that all of his money is insured?
The amount of $700,000 is advisable to be deposited in three different banks for safety of Angelo's money.
What is a bank deposit?A deposit of money made with a bank to earn returns in the form of interest on such money is known as a bank deposit. The banks insure such deposits up to a certain limit, say $250,000.
Angelo can distribute his money into three different banks, with each deposit not exceeding $250,000 to ensure the safety of his bank deposits.
Hence, the way to insure the safety of Angelo's money via bank deposit is aforementioned.
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On sunday, anthony went over to nicks house to play basketball. they played a gam of one-on-one. anthony made six baskets, bute nick made eight nick was the winner. after the game, both boys whent in side to have some snack's and watch television.
Answer: i don't get it was this supposed to be a story?
Explanation: T-T
Which piece of evidence best supports the idea that monkey man has influenced
Answer:
yes
Explanation:
yes...
What best explains the label that the student should use on the y-axis? reaction rate, as the rate of forward and backward reactions become equal at equilibrium. concentration, as the concentration of reactants and products become equal at equilibrium. reaction rate, as the rate of forward reaction increases and the rate of backward reaction decreases with time. concentration, as the concentration of products decreases and that of reactants increases over time.
The answer is:
Concentrations, because the amounts of reactants and products remain constant after equilibrium is reached.
Select the correct answer. the high temperatures at a park for 10 days are 40, 42, 41, 41, 43, 43, 44, 45, 44, and 45 degrees fahrenheit. what is the interquartile range of the data?
Answer:
The lower quartile is 41 while the upper quartile is 44
Thus the interquartile range is 3 (44-41)
hope this helps :)
Answer: the answer is 3
Explanation:
The first one is correct
Read this first sentence of a passage summary: when hot magma heats trapped underground water, the water can explode from the ground in the form of a geyser. based on the information in the passage, which sentence would best complete the summary?
The sentence that would best complete the summary is There are two famous geysers in Yellowstone National Park, they are named Old Faithful and Steamboat Geyser.
What is Magma?Magma is known to be a very hot, molten rock that can be found under the earth crust as it is said to exist in the mantle.
Note that The sentence that would best complete the summary is There are two famous geysers in Yellowstone National Park, they are named Old Faithful and Steamboat Geyser.
See full question below
Read this first sentence of a summary of the
passage
When hot magma heats trapped underground
water, the water can explode from the ground in
the form of a geyser.
Based on the information in the passage, which
sentence would BEST complete the summary?
There are two famous geysers in Yellowstone
National Park, they are named Old Faithful and
Steamboat Geyser.
Because of changes in water temperature, geysers
are becoming less predictable and their numbers
are decreasing worldwide.
One famous American geyser erupts with such
regularity that it is named Old Faithful, but due to
shifting magma, geysers are generally,
unpredictable
Drilling for geothermal power has released so much
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A rule of thumb for maintaining organization is to remove any items from flat surfaces.
True, a rule of thumb for maintaining organization is to remove any items from flat surfaces.
What is rule of thumb?Rule of thumb is an approximate method for doing something, based on practical experience rather than theory.
A rule of thumb for maintaining organization is to remove any items from flat surfaces, this statement is considered "TRUE".
Maintaining organization entails removing some items from flat surface.
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Which phrase describes how dna provides evidence to support that life changes over time?
Answer:
some animals exhibit similar biological proteins
DNA contains the information which cells use to make proteins
DNA contains the coding for the formation of protein
similarity or differences in DNA show evolutionary relationships
DNA contains genes, which pass the instructions to produce and deliver proteins for the body, to synthesise
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Mycorrhizal fungi form a mutualistic relationship with plants. with which part of the plant are they associated? a) stems b) leaves c) roots d) flowers
Mycorrhizal fungi form a mutualistic relationship with the root part of a plant and is denoted as option C.
What is Mutualism?
This is defined as ecological interaction between two or more species in which each species benefit.
An example is between land plants relying on mycorrhizal fungi for phosphorus, while the fungus receives nutrients formed by the plant in return.
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Who tells claudius and laertes about ophelia's death
Gertrude tells them if Ophelia's death
The shortest sides of two similar polygons have lengths in the ratio 2:5. the perimeter of the smaller polygon is 20. the perimeter of the larger polygon is 125 100 50
Answer:
A similar triangle has the same ratio on every side, so that means the perimeter has the same ratio as well. Set up the proportion: 2/5 = 20/xmultiply the means and extremes to get2x = 100divide both sides by 2x = 50The perimeter of the larger polygon is 50
Explanation:
Not sure if this is right but hope this helped!
Which of these steps is considered the most important when researching and promoting an event?
Answer:
What factors are important in marketing and promoting an event?
What factors influence event marketing?
Budgets. Choosing how, when and where to market an event may depend on your budget. ...
Event importance. ...
Resource availability. ...
Target audience. ...
Taking advantage of time. ...
Promoting through traditional media. ...
Creating advertising materials. ...
Promoting on social media.
Explanation:
Find the momentum of a 23.1 g bullet fired at 621 m/s
answer
p=14.345
explanation
we get that answer by using the formula p=mv
A 5 n force is applied to a 3 kg ball to change its velocity from +9 m/s to +3 m/s. the time for the collision is _____ seconds.
The time for the collision is 3.6S.
What is collision?The collision is an encounter between particles resulting in exchange or transformation of energy.
According to the question,
Force,
F = 5 N
Mass,
m = 3 kg
Velocity,
v₁ = 9 m/s and v₂ = 3 m/s
As we know,
F=m*(v/t)
so,
5=3*(9-3/t)
T=3*6/5
T=18/5
hence, the time for the collision is
T= 3.6S.
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A number less than twice the square of the same number
Answer:
2x ^ 2 - 1
Explanation:
When nitroglycerin (c3h5on3o9) is detonated, the carbon and hydrogen atoms bonded to oxygen and nitrogen separate and heat is released. what type of energy is stored in the bonds?
The endothermic energy is released when the bond breaks between the atoms. The thermal kinetic energy is stored between the bonds of the nitroglycerin molecule.
What is Thermal kinetic energy?Thermal energy is the total of the kinetic and the potential energy. The kinetic energy is the energy possessed by the object respective to its motion.
The potential energy is the stored energy with respect to the position of the object. The combination of kinetic and potential energy makes the thermal energy and is in the form of heat.
Therefore, the release of the heat from bonds indicates thermal kinetic energy.
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How do the children's interactions with the man in the well reveal the theme of the text
Answer:
How do the children's interactions with the man in the well reveal the theme of the text
Which point is lincoln trying to make? people cannot build upon the land, because it is considered sacred. it is up to the people to mark the importance of the land. because so many people died, the land cannot be considered sacred. the sacrifices of the soldiers have already made the land sacred.
Answer:
D
Explanation:
The answer is : The sacrifices of the soldiers have already made the land sacred.
Answer: D) The sacrifices of the soldiers have already made the land sacred.
Explanation:
What other questions might a crime scene investigator have about the remains that cannot be answered by bones alone?
Explain why it will be easy to separate the four liquids.
The water from hot springs near the ebeko volcano in the pacific ocean has a very low ph. what does a low ph indicate about the water?
The water of the hot spring near ebeko volcano in the Pacific Ocean has low pH, which means that the water is acidic. Acids have low pH.
What is pH?pH is the measurement of acidic and alkaline of any liquid. The acids have low pH than 7 and bases have high pH than 7.
Low pH water will corrode or dissolve metals and other substance in it.
Thus, the water of the hot spring near ebeko volcano in the Pacific Ocean has low pH, which means that the water is acidic. Acids have low pH.
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Compare public debt to intragovernmental debt brainly
The difference is that public debt is owed to creditors while intragovernmental debt is owed to another part of government.
How to Classify Debts?The public debt is defined as the amount of money that a government owes to creditors. Now, this debt held by the public is a large portion of the national debt.
However, Intragovernmental debt is defined as debt that one part of the government owes to another part of the government. Generally, this debt is held in government trust funds, such as the Social Security trust funds.
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Songs like "fortunate son" by creedence clearwater revival, "give peace a chance" by john lennon, and "i-feel-like-i'm-fixin'-to-die rag" by country joe and the fish were just three popular songs (out of hundreds) that dealt with
Answer:
peace
Explanation:
this songs purpose was to preach peace and convince people about how the vietnam war was bad and the country should make peace
When a coin is dropped, it falls to the ground. as the coin falls, it loses potential energy and gains what kind of energy?
Answer:
kinetic energy
Explanation:
As an object falls from rest, its gravitational potential energy is converted to kinetic energy
What type of triangle is created by the three cities? an acute triangle, because 222 + 542 >512 an acute triangle, because 222 + 512 >542 an obtuse triangle, because 222 + 542 >512 an obtuse triangle, because 222 + 512 >542
The type of triangle that is created by the three cities is known to be an an acute triangle, because 22² + 51² >54².
What tells an acute triangle?An acute triangle is known to be called an acute-angled triangle because the triangle is made up of three acute angles, that tends to measure less than 90°.
Therefore, The type of triangle that is created by the three cities is known to be an an acute triangle, because 22² + 51² >54² as it measure less than 90°.
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Answer:
B
Explanation: