A drawbridge will sometimes open up to let boats and other water traffic pass
through. As it opens, the surface of the drawbridge raises above the level of
the roadway, as modeled by the function:
If the length of the drawbridge, r, is 20 meters, and the point Pis 16 meters
above the roadway, what is the distance d?
O A. 25 meters
O
B. 12 meters
O
C. 19.6 meters
O
D. 36.6 meters
Answers
Answer:
B. 12 meters
Explanation:
The model forms a right angle triangle with the model given as
r = √h² + d²
From the question we were asked to find d when r = 20 meters and the h = 16 meters.
Make d the subject of the formula
r = √h² + d²
square both sides
r² = h² + d²
d² = r² - h²
where
r = 20 m
h = 16 m
d² = r² - h²
d² = 20² - 16²
d² = 400 - 256
d² = 144
square root both sides
d = √144
d = 12 meters
The correct answer is B. 12 meters. The distance d is 12 meters.
To find the distance d for the given drawbridge setup, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the drawbridge length r) is equal to the sum of the squares of the other two sides.
Here’s the breakdown:
Given:
Length of the drawbridge r = 20 metersVertical height of point P = 16 metersUsing the Pythagorean theorem:
formula: [tex]r^2[/tex] = [tex]d^2[/tex] + [tex](height)^2[/tex]
[tex]20^2[/tex] = [tex]d^2[/tex] + [tex]16^2[/tex]
400 = [tex]d^2[/tex] + 256
Subtract 256 from both sides:
144 = [tex]d^2[/tex]
Finally, take the square root of both sides:
d = √144 = 12 meters
Related Questions
Which statement describes the formation of the Milky Way galaxy?
A. A disk formed of long trails of stars coiled into a spiral.
B. It formed an elliptical flattened disk
C. Heat and gases contracted within a nebula.
D. Gravity pushed stars away from a center core.
Answers
Answer: A. A disk formed of long trails of stars coiled into a spiral.
(happy to help)
Explanation:
Answer:
a
Explanation:
On a coordinate plane, a trapezoid is inside of a rectangle to form 3 triangles within the rectangle. The trapezoid has points (4, 4), (4, 14), (12, 20), and (20, 16). The rectangle has points (4, 4), (4, 20), (20, 20), and (20, 4). Triangle 1 has points (4, 14), (4, 20), (12, 20). Triangle 2 has points (12, 20), (20, 20), (20, 16). Triangle 3 has points (4, 4), (20, 16), (20, 4).
Complete the steps to find the area of the trapezoid.
Area of rectangle = square units
Area of triangle 1 = square units
Area of triangle 2 = square units
Area of triangle 3 = square units
Area of trapezoid = square units
Answers
Answer: The correct answers in order are: 256, 24, 16, 96, 120
Explanation:
I completed this assignment
The area of the rectangle from the points is, 256 and the area of triangle 1 is 6 and triangle 2 is 16.The area of triangle 3 is 96.72 and area of trapezoid is 2 square units.
What is area ?The area of each geometrical shapes will be different based on their sides, heights etc. The area of a rectangle is length × breadth.
Given length points of rectangle = (4, 4), (4, 20),
length = √(4-4)² +(20-4)² = 16
width points = (20, 20), and (20, 4)
w = √(20-20)² +(20-4)² = 16
the area = 256 square units.
The coordinates of triangle 1 = (4, 14), (4, 20), (12, 20)
a = √(4 - 4)² +(20-14)² = 6
h = √(12-4)² +(20-20)² = 6
area = 1/2 bh
area = 1/2 (36) = 18 square units.
The coordinates of triangle 2 = (12, 20), (20, 20), (20, 16).
a = √(20 - 12)² +(20-20)² = 8
h = √(20 - 16)² +(20-20)² = 4
area = 1/2 bh
area = 1/2 (32) = 16 square units.
The coordinates of triangle 3 = (4, 4), (20, 16), (20, 4).
a = √(20 - 4)² +(16 - 4)² = 20
h = √(20 - 20)² +(16 - 4)² = 12
area = 1/2 bh
area = 1/2 (240) = 120 square units.
The coordinates of trapezoid = (4, 4), (4, 14), (12, 20), and (20, 16)
a = √(4 - 4)² +(14 - 4)² = 10
b = √(20 - 12)² +(20-16)² = 8.94
h = √(12-4)² +(20-4)² = 17.88
area = a +b/h
area = 1.05 square units.
Find more on area:
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How did American settlers view the territories in the west?
Answers
Answer:
The territories were full of gold.
Explanation:
They didn't like it because they wanted their lands for the gold that was underneath and killed off their food source as a result they were angry and wanted to fight.
Which of the following statements about Russia is true?
A.
Russia has the world’s largest population.
B.
Russia is the largest country in the world with regard to land area.
C.
Russia has the highest GDP per capita in Europe.
D.
Russia has the highest life expectancy in Europe.
Answers
Answer:
B
Explanation:
Answer:
b
Explanation:
During explosive volcanic eruptions, large amounts of ash entering Earth's atmosphere often
trise to an altitude of 20 kilometers. What is the most likely effect of this ash cloud?
a decrease in the insolation reaching Earth's surface
a decrease in the thickness of Earth's stratosphere layer
an increase in the insolation reaching Earth's surface
an increase in the thickness of the Earth's stratosphere layer
Answers
During explosive volcanic eruptions, the ash cloud that forms can cause a decrease in the insolation reaching Earth's surface.
Explanation:During explosive volcanic eruptions, large amounts of ash can enter Earth's atmosphere and rise to an altitude of 20 kilometers.
The most likely effect of this ash cloud is a decrease in the insolation reaching Earth's surface.
Ash particles in the atmosphere can block sunlight and reduce the amount of solar radiation that reaches the surface of the Earth.
This can cause a temporary cooling effect on the climate.
which of the following would not be a reason for engineering a crop?
create a plant that will produce insecticides within its leaves
creating weeds resistant to pesticides
creating plants with increased yields
creating plants that can live in harsh environments
(thinking it’s either the 3rd or 4th one)
Answers
Answer:
creating weeds resistant to pesticides
Explanation:
pesticide that is resistant to weeds is useless because the plant will die due to the weeds attacking it.
True Or False.
The Ural Mountain runs North- South for over 2 million kilometer thru Russia
Answers
Answer:
True
Explanation:
please mark brainliest
I think it’s true hope this helps
What type of cooling would form an igneous rock found with small crystals?
A- Slow cooling
B- Medium rate cooling
C- Quick Cooling
D- Super-fast cooling
Answers
Answer:
I belive it is C.
Explanation:
Answer:
d i think
Explanation:
gdgfgf
The __________ was the pharaoh’s most trusted advisor.
A.
scribe
B.
vizier
C.
noble
D.
priest
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:
B
Explanation:
Why do most people in Latin America practice Christianity?
Answers
Answer:
Because christianity was brought to Latin America by missionaries and people who's religion is Christian
Explanation:
5.) Which will get more direct rays from the Sun, Texas or Kansas? Why?
Answers
Texas will get direct rays of the sun.
Explanation:
The areas which are closer to the tropic of Cancer will get direct rays of the sun on the Earth.
Texas will get more direct rays of the sun as compared to Kansas because it is closer to the tropic of Cancer compared to Kansas. The distance of Kansas from tropic of Cancer is 1084 miles but that of Texas is 784 miles making it Texas to get more rays of sun.
Describe one type of qualitative data that is useful
in the collection of geospatial data.
Answers
Answer:
Geographic information science (GIScience) is the study of organizations and tools associated with the process of collecting and disseminating geographic information.
Explanation:
https://opentextbc.ca/geography/back-matter/tools-for-spatial-data-collection-and-utilization/
how do you think the photo was created ?
Answers
Which of the following is the MOST directly tied to the pollution of the Ganges River?
Options:
A, Deforestation
B, Poor Air quality
C, Lack of fertile soil
D, The spread of disease
Answers
The following directly tied to the pollution of the Ganges River is the spread of disease.
The Ganges River
The Ganges River is one of the famous rivers in India as it is connected to the Hindu religion and as well for providing water for survival.
The rapid growth in cities and towns had created enormous waste and the toxic.
Disposal of waste materials from houses and industries are dumped in the river without any concern.
The condition of the Ganges River is highly toxic.
People are getting diseases after drinking the river water.
Therefore we can conclude that option D is the correct answer.
Learn more about the Ganges River here:
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Consider the following pairs (1,2),(2,-2),(3,1),(-2,1),(-3,-2),(1,1)
Answers
It is to be noted that the coordinate pair that is not graphed is (2, 2).
What is a coordinate pair?A coordinate pair, often referred to as an ordered pair, is a fundamental concept in mathematics, particularly in geometry and graphing. It consists of two numerical values or coordinates that specify a unique location or point in a two-dimensional Cartesian plane.
The first value represents the horizontal position and is known as the x-coordinate, while the second value represents the vertical position and is called the y-coordinate.
These pairs of numbers allow precise location identification, making them vital in various applications like plotting graphs, navigation, and defining geometric shapes. Coordinate pairs are used to determine the position of points, lines, and objects, providing a universal system for representing spatial data.
Learn more about coordinate pair at:
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Explain in a paragraph how the relative positions of the Earth and sun influence the climate of Alaska.
Answers
Plz mark brainliest:)
Use the map below to answer the following question:
A map of the European Union. The member nations include Austria, Belgium, Bulgaria, Cyprus, Czech Republic, Denmark, Estonia, Finland, France, Germany, Greece, Hungary, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, the Netherlands, Poland, Portugal, Romania, Slovakia, Slovenia, Spain, Sweden, and the United Kingdom. Candidate nations include Croatia, Romania, Bulgaria, Turkey, and Macedonia. Non-EU nations include: Iceland, Norway, Switzerland, Belarus, Ukraine, Russia, Moldova, Serbia, Albania, Bosnia and Herzegovina, and Montenegro.
Which statement is supported by the map?
A. Most Eastern European nations are candidate countries.
B. All of the Western European nations are part of the European Union.
C. All European nations want to be part of the European Union.
D. Most European nations are part of the European Union.
Answers
Answer:
D. Most European nations are part of the European Union.
Explanation:
Just took this test
The statement that is supported by the map is that Most European nations are part of the European Union. The correct option is d.
What is the European Union?The European Union is a supranational political and economic union of 27 member states that are located primarily in Europe. The union has a total area of 4,233,255.3 km2 and an estimated total population of nearly 447 million. The EU has often been described as a sui generis political entity combining the characteristics of both a federation and a confederation
Containing 5.8 per cent of the world population in 2020,[c] the EU generated a nominal gross domestic product of around US$16.6 trillion in 2022, constituting approximately one sixth of global nominal GDP and the third-biggest global economy after the United States and China.
Additionally, all EU states but Bulgaria have a very high Human Development Index according to the United Nations Development Programme.
Learn more about European Union, here:
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How are popular culture and professional sports different?
Answers
Answer: your mom shshshdfhfhffih
Explanation:
your mom<333333shshsssshskjd
Explain Why are the electromagnets in MRIs kept at
very low temperatures?
Answers
Answer:
Resistive electromagnets, which are cheaper and easier to maintain than superconducting magnets and these are far less powerful,use more energy and require a cooling system
hope it helps
what strategy is being used when a student underlines topic sentences and keg ideas in a text
Answers
Organisms that later became good index fossils lived over a
A)
wide geographic area and existed for a long geologic time
B)
wide geographic area and existed for a short geologic time
C)
limited geographic area and existed for a long geologic time
D)
limited geographic area and existed for a short geologic time
Answers
Answer:
B) wide geographic area and existed for a short geologic time.
Explanation:
hope this helps :)
at the east african rift, the african plate is separating into two smaller plates that are moving in opposite directions. based on this, which type of boundary exists at the east african rift?
Answers
Answer:
The East African plate has a divergent boundary.
Explanation:
how did islam come to north africa
Answers
Answer: islam first came to africa with muslim refugees fleeing persecution in the Arab peninsula. Then followed by military invasion.
Explanation:
GIS relies on specialized software, but this software only works if it's given:
O
A. biases of cartographers
O
B. a Mercator projection.
O
C. a Robinson projection.
D. data from the real world.
SUBMIT
Answers
Answer:data from the real world
Explanation:
Got it on Apex
Final answer:
GIS relies on specialized software which requires accurate real-world data to function. Knowledge about map projections and biases is essential for proper utilization of GIS, which is critical in fields like urban planning and the sciences.
Explanation:
Geographic Information Systems (GIS) rely on specialized software that is dependent on data from the real world. GIS is an invaluable tool used by geographers to analyze spatial data, enabling the asking of spatial questions and problem-solving using unique methods tied to the geographical discipline. To function properly, GIS software requires accurate real-world data input; it does not operate solely based on cartographer biases or specific map projections like Mercator or Robinson, though understanding projections is vital for accurate analysis.
GIS has significantly transformed cartography, almost all of which is now performed using GIS software. These systems store information about the Earth in databases and display them as specialized maps, which is critical for urban planning and analyzing social and physical science phenomena. The use and application of GIS must be conducted with an awareness of any biases, limitations, and the importance of using correct map projections for accurate spatial alignment and analysis.
The place which an innovation originated from?
Answers
Answer:
Innovationem
Explanation:
Innovation originated from the Latin word innovationem
Brainliest?
Which cultural group once preserved food by burying kimchi pots underground during the winter?
Answers
Answer: The answer should be Koreans.
Answer:
me to i think Koreans
Explanation:
If Earth were flat instead of curved, how would that affect temperatures from pole to pole? Explain how the range of temperatures at noon at different latitudes on a cube-shaped planet would compare to temperatures on our spherical Earth.
Answers
If the earth were flat, the sun would revolve above the surface and the sun is much bigger than earth, the earth would have burnt up.
If the earth were cubic, two faces would be the pole and the other four faces will get the temperature change.
What is flat earth theory?Flat earth theory is a disproven theory, which says that earth is flat or disc shaped.
Many ancient cultures believed that the earth is flat, such as Greece, Hellenistic period, Iron Age, etc.
Thus, if the earth were flat, the sun would revolve above the surface and the sun is much bigger than earth, the earth would have burnt up.
If the earth were cubic, two faces would be the pole and the other four faces will get the temperature change.
Learn more about flat earth
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Final answer:
If Earth were flat instead of curved, temperatures from pole to pole would be more uniform. On a cube-shaped planet, the range of temperatures at noon at different latitudes would be smaller compared to our spherical Earth.
Explanation:
If Earth were flat instead of curved, the temperatures from pole to pole would be more uniform. On a flat Earth, the angle at which sunlight hits the surface would be the same at all latitudes, resulting in similar temperatures. In contrast, on our spherical Earth, the curvature causes sunlight to hit the poles at an oblique angle, resulting in colder temperatures compared to the equator.
On a cube-shaped planet, the range of temperatures at noon at different latitudes would be smaller compared to our spherical Earth. This is because the cube's flat surfaces would not have the curvature that causes temperature variations. Each face of the cube would receive the same amount of direct sunlight, resulting in similar temperatures across the planet.
Describe the different climate regions of Eastern Europe (North, Southern, and Central) and how the climate affects life in these places (basically, give one example of how people live in each region, use the lessons for examples-Remember that weird fact about Polish seasons).
Answers
Answer:
Polar air masses derived from areas close to Iceland and tropical masses from the Azores bring, respectively, very different conditions of temperature
Explanation:
Eastern Europe features a variety of climates, from the sub-arctic regions of Scandinavia, the cold snowy climates of central areas like Poland to the humid-subtropical in southern areas around the Mediterranean. These climates affect daily life, from fishing in ice-free Norwegian waters, constructing homes to withstand snowy Polish winters, to farming in the wet, agricultural lands in South-Eastern Europe.
Explanation:The different climate regions of Eastern Europe consist of the northern, southern, and central areas, each with distinct climates and lifestyles.
Northern Eastern Europe
In northern Scandinavia, the climate is sub-arctic and arctic, with short, cool summers and long, bitter winters. An unusual aspect of this region is the coastal area of Norway which remains ice-free throughout the winter due to the warming effects of ocean currents. The traditional lifestyles here often involve fishing, which is viable year-round along the coast.
Central Eastern Europe
Moving inland to places like Poland, the climate becomes a cold, snowy winter climate with hot, wet summers in the Alpine regions. This climate variation leads to a unique pattern of seasons in Poland, where winters are exceptionally snowy, affecting how people build and heat their homes.
Southern Eastern Europe
In southern regions, such as northern Italy through to Serbia, the humid-subtropical climate is prevalent, with hot summers and cool winters. Agriculture flourishes in these areas due to the high year-round precipitation, with farming being a common way of life.
Climate Influence on Life
Each climate region in Eastern Europe distinctly shares some parallels with U.S. climates, influencing how people live. For example, the eastern steppe in Ukraine is known for agricultural productivity despite extreme temperature swings similar to the U.S. Great Plains.
What pattern can be seen around the edges of tectonice plates
Answers
Answer:
I think its rough edges and fault lines
Explanation:
Explain how convergent plate boundaries lead to subduction zones.
Answers
A convergent boundary is an area on Earth where two or more lithospheric plates collide. One plate eventually slides beneath the other causing a process known as subduction. Subduction initiates when this dense crust converges with the less dense crust.
A convergent boundary is an area on Earth where two or more lithospheric plates collide. One plate eventually slides beneath the other causing a process known as subduction. Subduction initiates when this dense crust converges with the less dense crust.
There is the answer. -3-