Answers
The values of x in the triangles and the missing lengths are solved below
Calculating the values of x in the triangleGiven that the triangles are special triangles with 45 degree angle, we have
Hypotenuse = Leg√2
So, we have
x = 8√2x = 6x = 5x = 2√2Calculating the values of x and y in the trianglesHere, we use the trigonometry ratios
figure 5
cos(60) = 7/y
y = 14
x = √(14² - 7²)
x = 7√3
figure 6
cos(30) =2√3/y
y = 4
x = √(4² - (2√3)²)
x = 2
figure 7
cos(60) = x/10√3
x = 5√3
y = √((10√3)² - (5√3)²)
y = 15
figure 8
sin(30) = x/18
x = 9
y = √(18² - 9²)
y = 9√3
The areas of the figuresHere, we have
Area = (d/√2)²
Area = (16/√2)²
Area = 128
Area = 13 * 6 * sin(60 degrees)
Area = 39√3
The tangents of the acute anglesHere, we have
tan(K) = 48/14 = 24/7
tan(J) = 14/48 = 7/24
tan(D) = 6√2/3 = 3√2
tan(E) = 3/6√2 = √2/4
Calculating the values of x in the trianglesHere, we have
tan(23) = x/53
x = 22.50
tan(43) = 36/x
x = 38.61
tan(28) = x/y
tan(45) = x/82
So, we have
x = 82 and tan(28) = 82/y
x = 82 and y = 154.2
The height of the buildingHere, we have
tan(65) = h/30
h = 64.34
Finding RSHere, we have
RQ = 14tan(56)
QS = 14tan(32)
So, we have
RS = RQ - QS
RS = 14tan(56) - 14tan(32)
Evaluate
RS = 12
Hence, the length RS is 12 units
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Related Questions
in the lake of constance story, as the rider was on the way to the inn, what was the geographical environment?
Answers
In the Lake Constance story, the geographical environment the rider encountered while on the way to the inn was primarily characterized by a picturesque landscape with diverse features. Lake Constance itself is a large freshwater lake situated at the northern foot of the Alps, which borders Germany, Switzerland, and Austria.
The area surrounding the lake is a blend of rolling hills, lush green meadows, dense forests, and small villages.
As the rider made his way to the inn, he likely navigated through the undulating terrain and narrow roads that connected the scattered settlements in the region.
He may have also encountered vineyards and orchards along the way, as agriculture is an important aspect of the local economy. The forests in the area are home to a variety of flora and fauna, contributing to the region's overall biodiversity.
In addition, the story's setting features picturesque views of the lake and its sparkling waters, which serve as a focal point for the region's natural beauty. The shoreline of Lake Constance is peppered with charming towns and fishing villages, offering glimpses into the region's history and cultural heritage.
In summary, the geographical environment the rider experienced in the Lake Constance story included a diverse landscape of rolling hills, lush meadows, dense forests, and charming villages. The area is characterized by its agricultural activities, biodiversity, and the stunning views of Lake Constance itself.
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explain how a piece of the igneous rock granite and a piece of the metamorphic rock slate could be found in the sedimentary rock known as conglomerate.
Answers
Answer:
The presence of a piece of granite and a piece of slate in a sedimentary rock conglomerate suggests that the rock has undergone a process of weathering, erosion, and deposition. Conglomerate is a type of sedimentary rock formed from rounded gravel and pebble-sized rock fragments that have been transported and deposited by water or wind. These rock fragments are typically cemented together by mineral deposits, creating a solid rock.
The granite and slate could have been exposed to weathering, erosion, and transport by natural agents such as water, wind, or ice. These agents could have broken the granite and slate into smaller pieces, which were then transported by water or wind and eventually deposited in the same location. Over time, the pieces of granite and slate would have become cemented together with other rock fragments, forming a conglomerate.
Alternatively, the granite and slate may have been present in the original rock formation that was weathered, eroded, and transported to form the conglomerate. As the rock formation was broken down, the different types of rock that it contained, including the granite and slate, would have been transported and deposited in the same location, eventually becoming cemented together to form the conglomerate.
Overall, the presence of granite and slate in a sedimentary rock conglomerate is a result of the complex processes of weathering, erosion, transport, and deposition that have occurred over geological time.
A piece of the igneous rock granite and a piece of the metamorphic rock slate could be found in the sedimentary rock known as conglomerate because they could have been eroded and transported by water or wind and deposited along with other sediments.
Conglomerate is a type of sedimentary rock that is composed of large, rounded rock fragments that are larger than 2 millimeters in diameter. Conglomerates may also contain smaller particles such as sand, silt, or clay-sized minerals, as well as various organic materials.
The conglomerate forms as a result of deposition and consolidation of gravel, sand, and pebble-sized sediments. Conglomerates typically form near the base of a stream or river, where the water flow is fast enough to move the larger rock fragments, but not fast enough to transport them far from their source.
Igneous rocks like granite are formed from the solidification of magma or lava. Over time, these rocks may be weathered and eroded by natural forces like water, wind, or ice. As these rocks are broken down into smaller particles, they are transported and deposited in other locations.Sedimentary rocks are formed from the accumulation of sediment. When these sediments are transported, they may be mixed with other materials, including rock fragments from other sources. Therefore, a piece of the igneous rock granite could be found in the sedimentary rock known as conglomerate if it was eroded and transported by water or wind and deposited along with other sediments.
Metamorphic rocks like slate are formed from other rocks that have been subjected to high temperatures and pressures. These rocks may be exposed at the surface through natural processes like erosion, or they may be uplifted through tectonic activity. Once exposed, they may be broken down into smaller particles and transported by natural forces.When these sediments are deposited and compacted, they may form sedimentary rocks like conglomerates. Therefore, a piece of the metamorphic rock slate could be found in the sedimentary rock known as conglomerate if it was eroded and transported by water or wind and deposited along with other sediments.
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what is itcz and how does the wind blow in itcz, including surface wind, upper-level wind, and the vertical air movement that connnecting them?
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The Intertropical Convergence Zone (ITCZ) is a region near the Earth's equator where trade winds converge. The region is also characterized by cloudy skies, rainy weather, and low pressure.
The ITCZ's location varies seasonally, moving north or south of the equator depending on the location of the sun. The ITCZ's position is determined by the location of the sun, which is directly overhead at noon at the equator, causing the air to rise and creating a low-pressure region.
As the air rises, it cools and condenses, resulting in rain and thunderstorms. The ITCZ's surface winds are the trade winds, which move towards the equator from the northeast in the Northern Hemisphere and the southeast in the Southern Hemisphere.
The upper-level winds are known as the easterly winds, which blow from east to west. They are responsible for bringing moisture from the Atlantic and Indian Oceans to the ITCZ. The vertical air movement is the convergence of the trade winds, which causes air to rise and creates a low-pressure zone.
The rising air cools and condenses, resulting in the formation of clouds and precipitation. As a result, the ITCZ is responsible for much of the Earth's precipitation.
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Why were transport ships ineffective in WW2
Answers
Answer: During the Second World War, Britain depended on vital supplies of food, equipment and raw materials from overseas, notably from North America and the Empire. These goods were transported in thousands of merchant ships, which were vulnerable to attack by German submarines (U-boats)
Explanation:
Find the error with subject-verb agreement. Select the incorrect verb and type it correctly.
The
American
photojournalist
Margaret
Bourke-White
covered
several
historic
events
of
the
twentieth
century
including
World
War
II
Bourke-White's
photographs
remains
relevant
today
revealing
both
the
suffering
and
the
perseverance
of
humankind
Answers
It should be "Bourke-White's photographs remain relevant today revealing both the suffering and the perseverance of humankind."
Look at the projected population pyramid 20 years in the future by selecting the year 2035 from the drop-down menu. What changes in the population do you notice in comparison to the 2015 population pyramid?
Answers
The most significant difference between the population pyramids of 2015 and 2035 is that the population in 2035 is more evenly distributed. This suggests that the population is relatively stable, with a balanced birth and death rate.
What are population pyramids used for?A population pyramid refers to visual representation of two variables: age and gender. Demographers, who study populations, use them. A population pyramid is a graph that depicts the age distribution of a population divided down the center by male and female members.
If a portion of the population has been affected by abrupt changes, such as casualties from armed conflict, high female mortality in childbirth, or the migration of young workers out of poorer regions, the graph will provide a visual representation of how the future population will be affected.
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BC =
Round your answer to the nearest hundredth.
B
35°
6
А
Answers
The length of BC is 4.91 to the nearest hundredth using the cosine ratio.
What does trigonometry mean in plain English?A branch of mathematics called trigonometry examines connections between triangles' sides and angles. Due to the fact that every straight-sided form can be decomposed into a group of triangles, trigonometry may be found across all of geometry. the adjacent side/hypotenuse divided by the cosine ratio
Considering the right triangle in the aforementioned figure, this means: = 35°
Nearby =? = BC
(6) Hypotenuse
Hence, cos 35 = BC/6 cos 35 6 BC = 4.91
As a result, the length of BC is 4.91 to the nearest hundredth using the cosine ratio.
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Muslims in British Raj were unhappy with British rule for a variety of reasons. Which two primary reasons did the Muslims believe that they needed a separate statehood from what they considered the Hindu-Raj? Select 2 correct answer(s)
Question 1 options:
Muslims believed that the British Raj was biased towards the Hindus
The arrest of Ghandi caused the Muslim community to revolt
Muslims were able to hold positions just as their Hindu counterparts
Leaders such as Nehu rejected unified premiership offered by Ghandi
Execution of Bhutto brought renowned ire to the British Raj
Answers
The two primary reasons did the Muslims believe that they needed a separate statehood from what they considered the Hindu-Raj are:
A. Muslims believed that the British Raj was biased towards the Hindus
D. Leaders such as Nehru rejected unified premiership offered by Gandhi,
During the British Raj in India, the Muslim community was unhappy with British rule for various reasons. One of the primary reasons was that they believed the British Raj was biased towards the Hindus.
Muslims felt that the British administration gave preferential treatment to the Hindus, who formed the majority of the population in India. This was evident in the distribution of administrative positions, where Muslims felt they were underrepresented.
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if a mountain range has forest on the western slope and desert on the eastern slope, what is the direction of the prevailing winds? west to east east to west north to south south to north
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If a mountain range has forest on the western slope and desert on the eastern slope, the direction of the prevailing winds is from west to east.
Prevailing winds refer to the global winds that blow in specific directions over a given region. They result from the movement of air masses from high-pressure zones to low-pressure zones.
Prevailing winds have an impact on the climate of a given region. The direction of the prevailing winds is determined by the rotation of the earth, the distribution of land and water, and temperature differences between the equator and poles.
The direction of prevailing winds changes with the season. Prevailing winds have an impact on the climate of a given region.
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which layer of earth possesses the greatest thickness? view available hint(s)for part a which layer of earth possesses the greatest thickness? inner core outer core crust mantle lithosphere
Answers
The mantle layer of the earth possesses the greatest thickness. It extends from the Mohorovicic Discontinuity, which is found beneath the crust, to a depth of about 2900 km.
The mantle is the second layer of the earth, which lies beneath the crust. It is about 2900 km thick and is composed mainly of silicate rocks that are rich in iron and magnesium.
The mantle has the greatest thickness of all the layers of the earth.The mantle is further subdivided into the upper mantle and the lower mantle. The upper mantle extends from the crust to a depth of about 660 km.
It is composed of the lithosphere, which is the rigid outer layer, and the asthenosphere, which is the soft, plastic layer beneath it. The lower mantle lies beneath the upper mantle and extends from a depth of about 660 km to 2900 km.
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which of the following best describes belady's anomaly? group of answer choices decreasing the number of available frames increases the number of page faults increasing the frame size increases the number of page faults decreasing the frame size increases the number of page faults increasing the number of available frames increases the number of page faults
Answers
Decreasing the number of available frames increases the number of page faults, best describes Belady's anomaly. The correct option is A.
Belady's Anomaly is a phenomenon that occurs in virtual memory systems. It is a counterintuitive behavior in which increasing the number of available frames increases the number of page faults. This anomaly is caused by the locality of reference principle of virtual memory, which states that a program will tend to access memory locations that are close together.
When the number of frames is increased, the working set of a program is broken up into multiple frames. This causes the program to access more frames than it did before and thus creates more page faults. Additionally, decreasing the frame size increases the number of page faults because the same amount of memory is now spread out over a greater number of frames, thus creating more page faults.
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what kinda challenges do the Andean And Midlatitude countries face
Answers
Answer:
Andean countries such as Colombia, Ecuador or Perú have the challenge of mining the regions minerals.
Explanation:
which global warming feedback listed below is one of the main reasons for the amplified warming we see in polar regions
Answers
The main reason for the amplified warming we see in polar region are due to ice-albedo feedback.
The ice-albedo feedback is a process in which changes in the Earth's surface albedo (reflectivity) cause changes in the amount of solar radiation absorbed by the Earth's surface, resulting in further changes in surface albedo.
As ice and snow cover recedes, so does the surface albedo, causing more solar radiation to be absorbed by the Earth's surface. This causes increased melting of ice and snow, which reduces surface albedo even further, and so on.
Changes in the extent of ice and snow cover can affect the amount of solar radiation absorbed by the Earth's surface, global temperature, and weather patterns, which can have a significant impact on the Earth's climate system.
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The complete question:
Which global warming feedback listed below is one of the main reasons for the amplified warming we see in polar regions?
a. The Stephan-Boltzmann feedback
b. The water vapor feedback
c. The ice albedo feedback
d. The lapse rate feedback
One of the main reasons for amplified warming in polar regions is the ice-albedo feedback. This feedback mechanism plays a significant role in global warming and contributes to the rapid warming observed in these areas.
The ice-albedo feedback involves a change in the amount of solar radiation absorbed by the Earth's surface due to changes in ice cover. Ice and snow have a high albedo, which means they reflect a large portion of incoming sunlight back into space.
As global temperatures rise, more ice melts, exposing darker surfaces like water and land, which have lower albedos and absorb more sunlight. This additional absorbed heat causes further warming and more ice melt, creating a positive feedback loop that accelerates temperature increases in polar regions.
This process is particularly impactful in the Arctic, where sea ice loss has been significant. As the ice melts, the exposed ocean water absorbs more heat, further raising temperatures and melting even more ice. This amplification of warming in polar regions has wide-ranging consequences for global climate systems, as it can affect ocean circulation patterns, weather events, and ecosystems.
In summary, the ice-albedo feedback is one of the primary reasons for amplified warming in polar regions. This mechanism is a result of the increased absorption of solar radiation due to melting ice, which creates a positive feedback loop that accelerates temperature increases and contributes to the significant warming observed in these areas.
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the maximum amplitude of a seismic wave from a magnitude 6 earthquake will be how many times greater than that for a magnitude 4 earthquake?
Answers
The magnitude of an earthquake determines the amplitude of seismic waves. In particular, each unit increase in magnitude corresponds to a tenfold increase in wave amplitude.
As a result, the amplitude of a seismic wave produced by a magnitude 6 earthquake is 10(6-4) = 100 times greater than that produced by a magnitude 4 earthquake.
In other words, the maximum amplitude of a seismic wave produced by a magnitude 6 earthquake is 100 times greater than that produced by a magnitude 4 earthquake.
When it comes to the maximum amplitude of a seismic wave from a magnitude 6 earthquake being how many times greater than that for a magnitude 4 earthquake, the answer is 100 times greater.
A seismic wave is a shock wave that is caused by an earthquake. They spread out from the focal point, or hypocenter, of the earthquake's release. These waves, which radiate outward from the hypocenter, spread out in all directions.
Seismic waves are created by tectonic shifts in the Earth's crust, and they are divided into two categories: body waves and surface waves. Body waves move through the Earth's interior, while surface waves are restricted to the surface. Earthquakes are classified by their magnitude, which is calculated using the Richter scale. The Richter scale is a logarithmic scale that quantifies the amount of energy released by an earthquake. Each step on the scale is ten times greater than the previous one.
Magnitude 6 earthquakes release 32 times more energy than magnitude 5 earthquakes. Similarly, magnitude 7 earthquakes release 32 times more energy than magnitude 6 earthquakes. The scale is logarithmic, as previously mentioned, and thus every one-point increase corresponds to a tenfold increase in the amount of energy released.
The amplitude of a seismic wave is directly proportional to the magnitude of the earthquake. Therefore, if the magnitude of an earthquake increases by one point, the amplitude of the seismic wave increases by ten times. As a result, the maximum amplitude of a seismic wave from a magnitude 6 earthquake is 100 times greater than that for a magnitude 4 earthquake.
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