What can scientists infer about the observation of the fossils now found widely spaced across the globe that actually lived on the same early earth landmass?
Based on their observation of the fossils now found widely spaced across the globe, scientists inferred that the landmass split apart.
What is a fossil?A fossil can be defined as the mineral impression or remains of both living and non-living organisms that are generally considered to be prehistoric in nature.
This simply means that, fossils are obtained by scientists from ancient organisms such as Australopithecus, which is an ape that has the capability to walk on two (2) feet like humans, and it lived in trees.
In this context, scientists inferred that the landmass for organisms that lived on the same early Earth landmass was split apart based on their observation of the fossils, which are now found widely spaced across the globe.
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The radius of circle c is 6 units and the measure of central angle acb is radians. What is the approximate area of the entire circle? square units what is the approximate area of the entire sector created by central angle acb? square units what is the approximate area of the shaded region only? square units.
Answer:
113
28
22
Explanation:
Area of shaded region ≈ 95.2 square units, Area of entire circle ≈ 113.1 square units.
What is circumference?The circumference is the perimeter of a circle or ellipse in geometry. That is, the circumference would be the circle's arc length if it were opened up and straightened out to a line segment.
The first step is to find the measure of the central angle acb in radians:
Since the radius of circle c is 6 units, the diameter of the circle is 2*6 = 12 units. Therefore, the circumference of the circle is:
C = πd = π(12) = 12π units
The central angle acb cuts off a portion of the circumference that is proportional to its measure, so we can set up the following proportion to find the measure of the central angle in radians:
(angle measure)/(360°) = (arc length)/(circumference)
Where the arc length is the length of the portion of the circumference cut off by the central angle.
Substituting the given values, we get:
(angle measure)/360° = x/(12π)
Simplifying, we get:
(angle measure) = 360°(x/(12π)) = 30x/π
Now we can use this value to calculate the area of the entire circle and the area of the sector created by central angle acb:
Area of entire circle = [tex]\pi r^2[/tex] = π[tex](6)^2[/tex] ≈ 113.1 square units
Area of sector acb = (1/2)[tex](6^2)[/tex](angle measure) = (1/2)(36)(30x/π) = 540x/π square units
To find the area of the shaded region, we need to subtract the area of triangle abc from the area of sector acb.
The central angle acb is divided into two congruent angles of measure x/2, so the angle measure of triangle abc is (180° - x)/2. We can use the Law of Cosines to find the length of side ab:
[tex]ab^2[/tex] = [tex]ac^2 + bc^2[/tex] - 2acbc cos((180° - x)/2)
Substituting the given values, we get:
[tex]ab^2[/tex] =[tex]6^2 + 6^2[/tex] - 2(6)(6) cos((180° - x)/2)
Simplifying, we get:
[tex]ab^2[/tex] = 72 - 72 cos((180° - x)/2)
Taking the square root of both sides, we get:
ab = √(72 - 72 cos((180° - x)/2))
Now we can calculate the area of triangle abc:
Area of triangle abc = (1/2)ab(bc)sin((180° - x)/2)
Substituting the given values, we get:
Area of triangle abc = (1/2)(√(72 - 72 cos((180° - x)/2)))(6)(sin((180° - x)/2))
Finally, we can subtract the area of triangle abc from the area of sector acb:
Area of shaded region = Area of sector acb - Area of triangle abc
Area of shaded region = (540x/π) - (1/2)(√(72 - 72 cos((180° - x)/2)))(6)(sin((180° - x)/2))
Approximating with x = 1.5 radians (which is approximately 86°), we get:
Area of entire circle ≈ 113.1 square units
Area of sector acb ≈ 283.5 square units
Thus, the Area of shaded region ≈ 95.2 square units.
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A patient with muscular dystrophy starts to receive stem cells that generate muscle tissue. Which is the best prediction of what will happen to the patient's muscle function? muscle function should decrease because the cells would produce muscle tissue. Muscle function should increase because the cells would produce muscle tissue. Muscle function should decrease because the cells would not produce muscle tissue. Muscle function should increase because the cells would not produce muscle tissue
Answer:
Muscle function should increase because the cells would produce muscle tissue
Explanation:
Answer:
B. Muscle function should increase because the cells would produce muscle tissue.edge
Dani wants to spend less than $25 on a birthday present for her friend. If she buys a necklace for $9. 50, how many pairs of earrings, e, can she buy for $3. 75 each without exceeding her budget? enter your answer in the box.
Waylon works for a company that produces temporary tattoos. His company wants to reach a young, highly engaged target market. His company currently has a profile on every major social media platform, but waylon has been instructed to invest more resources into one platform. Which platform should waylon focus on?
The social media platform that Waylon should invest more resources into is the one that has a platform that has a lot of followers in the aspect of their target market ( the ones that showcase more of temporary tattoos)
What is an investment?An investment is known to be a kind of asset or item that is gotten by a person or firm with the goal of getting more income or appreciation.
In terms of social media platform, it is better to invest in one that has a lot of followers and there are testimonies of people patronizing the platform and one that is focused on temporary tattoos.
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What is the sum of the finite arithmetic series (-15)+0+15.
Answer:
0
Explanation:
because (-15) + 0 =15
-15 +15= 0
Analyze one political and one economic benefit of the industrial revolution.
A beach community was recently negatively affected by a hurricane. Community leaders are looking for a potential solution to prevent damage from future hurricanes. Below is a list of their concerns as well as how important each issue is to the community.
The solution that would best address the issues of greatest concern in the community is; Planting Mangrove Forests
What is the solution to the community?The solution to the communities concerns will be to plant healthy mangrove forests due to the fact that they provide homes for roosting bird species, protect coastal communities from storm surges, as well as provide a nursery habitat for juvenile coral reef organisms.
Thus, we can conclude by saying that the beach community is advised to plant mangrove forests as a solution to avoid future hurricane damage.
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What is the conjugate acid in this reaction? hc2h3o2(aq)+h2o(l)⇌h3o++c2h3o−2(aq).
Answer:
HC2H3O2(aq) + H2O(l) → H3O⁺(aq) + C2H3O2⁻(aq)
↓ ↓ ↓ ↓
acid base acid base
Explanation: I f we consider the only forward reaction
H3O⁺ is the conjugate acid of the base H2O. For reverse reaction CH3COOH is the conjugate acid of the base CH3COO⁻.
What are the current issues and concerns in your community.
answer
probably i would say pollution
Whats yours <3
Which of the following will have a larger radius than zinc?
Answer:
The atom that will have a larger radius than zinc is strontium, Sr.
Explanation:
A certain type of legal proceeding has three possible outcomes: in favor of party a, in favor of party b, or not in favor of either party. The outcomes are expected to be 40 percent, 20 percent, and 40 percent, respectively. A random sample of 40 cases is selected from a certain judge to investigate whether the judge’s outcomes are consistent with the expected outcomes. A chi-square goodness-of-fit test is conducted, and the value of the chi-square test statistic is χ2=9. 19 with a corresponding p–value of 0. 1. Assuming the conditions for inference were met, which of the following is the correct interpretation of the p–value?
Answer:
D) If the null hypothesis is true, there is a 1 percent chance of obtaining a chi-square value of at least 9.19.
Explanation:
Most of this AP question is fluff to confuse you, so make sure to emphasize the p-value and the actual question being asked.
For these interpretation problems, for chi-square GOF (goodness of fit) tests, the p-value is interpreted as such:
If the null hypothesis ([tex]H_o[/tex]) is true, there is a [[tex]p[/tex]-value] probability of obtaining a chi-square ([tex]x^2[/tex]) value of [test-statistic [tex]x^2[/tex]] or more extreme.
This answer choice fits the format the best, and is therefore the correct answer.
What is the speed of a man who runs 10 miles in 1 hour
Answer:
His speed is simply 10 miles per hour
A rectangle’s length is 2 units more than twice its width. Its area is 40 square units. The equation w(2w + 2) = 40 can be used to find w, the width of the rectangle. What is the width of the rectangle? 4 units 5 units 10 units 12 units.
Given the value of the area, the width of the rectangle whose length is 2 units more than twice its width is 4 units
Option A) 4 units is the correct answer.
What is Rectangle?A rectangle is simply a 2-dimensional shape which has opposite sides equal to each other and all four angles are right angles.
Area of a rectangle is expressed as;
A = l × w
Where l is length and w is width
Given the data in the question;
Width of the rectangle = w unitsLength of the rectangle L = 2w + 2 unitsArea of the rectangle A = 40 units²Value of w = ?
We substitute our given values into the expression above.
A = l × w
40 = (2w + 2) × w
w( 2w + 2 ) = 40
2w² + 2w = 40
2w² + 2w - 40 = 0
divide through by 2
w² + w - 20 = 0
Using the quadratic formula;
x = (-b±√(b² - 4ac)) / (2a)
a = 1
b = 1
c = -20
w = (-1±√(1² - ( 4× 1 × -20 ))) / (2×1)
w = (-1±√(1 + 80)) / (2)
w = (-1±√(81)) / 2
w = (-1 ± 9) / 2
Hence
w = (-1 + 9) / 2 or (-1 - 9) / 2
w = 8/2 or -10/2
w = 4 or -5
But the width the rectangle cannot be a negative number.
Given the value of the area, the width of the rectangle whose length is 2 units more than twice its width is 4 units
Option A) 4 units is the correct answer.
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Answer:
A or 4 units
Explanation:
Water has the ability to store heat longer than other substances. What benefit does this property of water provide to organisms?
Answer:
The hydrogen bonds between water molecules give water the ability to hold heat better than many other substances. As the temperature rises, the hydrogen bonds between water continually break and reform, allowing for the overall temperature to remain stable, although increased energy is added to the system
Explanation:
1. While you were at the hotel eating lunch, I will
be at the gym for my daily workout.
(A) (NO CHANGE]
(B) you are
(C) you were being
(D) you have been
Answer:
The answer for your question is B YOU ARE
A very flexible helium-filled balloon is released from the ground into the air at 20. ∘c. The initial volume of the balloon is 5. 00 l , and the pressure is 760. Mmhg. The balloon ascends to an altitude of 20 km , where the pressure is 76. 0 mmhg and the temperature is − 50. ∘c. What is the new volume, v2 , of the balloon in liters, assuming it doesn't break or leak?
The new volume, v2, of the balloon in liters, assuming it doesn't break or leak, is 38.0546 L. To perform the calculation we will use the Boyle-Gay-Lussac law gas equation.
What is the Boyle-Gay-Lussac law?It is shown that the volume of the gas is inversely proportional to its pressure, while its volume is directly proportional to its temperature and constant pressure.
P1 x V1/T1 = P2 x V2/T2P1= Initial gas pressure
V1= Initial gas volume
P2= Final gas pressure
V2= Final volume of gas
T1= Initial gas temperature (Kelvin)
T2= Final gas temperature
Substituting the values in the formula, we have:
760 x 5 / 293 = 76 x v2 / 223 v2 = 38.0546 LFind out more about gas equation here:
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Freezing and thawing water can cause a rock to break down into smaller pieces. Which part of the rock cycle is this an example of?
What is the correct series of events after savage moved to new york?
The right series of events after savage moved to New York are:
She was said to attend Cooper Union.She made a name for herself as a famous sculptor.She was awarded fellowships to study abroad.She worked as the Director for the Harlem Community Center.Who was Augusta Savage?Savage is known to be a very famous artist. She was said to be the first artists that handled the issue of black physiognomy.
She is famous for her work in 1920s called Gamin. The work was known to be an not so formal bust portrait of her nephew. Due to this art work, she was awarded a Julius Rosenwald Fellowship in 1929.
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The graph below is used by company 2 to show the average monthly electric cost based on the electricity provider. A bar graph entitled average monthly electric cost has company on the x-axis and average monthly cost on the y-axis, from 95 to 125 in increments of 5. Company 1 has an average cost of 110, company 2 an average cost of 100, and company 3 an average cost of 120. How could the graph be redrawn so that the difference in monthly electric cost does not appear as great? the scale on the y-axis could be changed to 0–150. The scale on the y-axis could be changed to 100–120. The interval on the y-axis could be changed to count by 1s. The interval on the y-axis could be changed to count by 20s.
To make the monthly electric cost not to appear as great, the length of the bars can be reduced by redrawing the graph by making the following change:
B. the scale on the y-axis could be changed to 100–120.
What is a Bar Graph?A bar graph can be described as a chart represents a data distribution by using rectangular bars or columns to represent the total number of observations for each category in a data.
Thus, the bar graph given has a scale that starts from 95 which makes the difference in monthly electric cost that are represented by the bars appear great.
Therefore, to make the monthly electric cost not to appear as great, the length of the bars can be reduced by redrawing the graph by making the following change:
B. the scale on the y-axis could be changed to 100–120.
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Answer:
B)The scale on the y-axis could be changed to 100–120.
Explanation:
A steel ball is at one end of a box that is moving forward as shown. The box suddenly stops.
What is the main reason the relocation of japanese americans during world war ii proved unnecessary?.
Answer:
B
Explanation:
No interned Japanese Americans were found guilty of sabotage or espionage.
A sorted list of numbers contains 128 elements. Which of the following is closest to the maximum number of list elements that can be examined when performing a binary search for a value in the list?
The maximum number of list elements that can be examined when performing a binary search for a value in the list is eight (8).
What is a binary search?Binary search can be defined as an efficient algorithm that is designed and developed for searching an element (information) from a sorted list of data, especially by using the run-time complexity of Ο(log n)
Note: n is the total number of elements in a list.
In this scenario, the binary search algorithm would start at the middle of the sorted list and then it would eliminate half the elements repeatedly, until the desired value is found, which is at a maximum number of eight (8) examinations.
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Due to climate change places that used to be colder are now warming up.
Answer:
yes and we should do something about it.
At which of the following locations in the stream was there most likely a discharge of excess organic matter into the water?
At location d in the stream was there most likely a discharge of excess organic matter into the water.
What is Organic Substance pollution?Organic pollution is known to be one that takes place when an excess of organic matter, example manure or sewage, are said to be disposed or enters water bodies.
Note that if organic matter are found in a pond, the number of decomposers will tend to increase and thus affect oxygen supply.
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Cultural views that influence and affect relationships.
Answer:
no communication and cheating
What is the measure in radians for the central angle of a circle whose radius is 9 cm and intercepted arc length is 7. 2 cm? enter your answer as a decimal in the box. Radians.
Answer:
.8 radians
Explanation:
arc length = radius * central angle (in radians)
central angle (in radians) = arc length / radius
central angle (in radians) = 7.2 / 9
=.8 radians
Under constant conditions, the half-life of a first-order reaction.
Answer:
i need to know, too.. when you know tell me
Which statements are true regarding the diagram for circle p and the angles created? check all that apply. ∠dec is a circumscribed angle. ∠bca is an inscribed angle. ∠cba is a central angle. ∠apb is a central angle. Pb ≅ pa ec ≅ cb.
Answer:
1. <DEC is a circumscribed angle.
2. <BCA is an inscribed angle.
4. <APB is a central angle.
5.
PB ≅ PA
The statements that are true relating to the diagram are ∠dec is a circumscribed angle, ∠bca is an inscribed angle, ∠apb is a central angle. Pb ≅ pa
What is a circumscribed angle?A circumscribed angle is an angle derived from the intersection of two tangent lines to the circle p.
So, if we have a triangle DEC, we can inscribe a circle p with angle BCA in the triangle.
An inscribed circle is a circle inside a triangle.Angle apb is the central anglepb ≅ pa (base angle of an isosceles triangle)Learn more about a circumscribed angle here:
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Compared to the resistivity of a 0. 4-meter length of 1-millimeter diameter copper wire at 0°c, the resistivity of a 0. 8-meter length of 1-millimeter-diameter copper wire at 0°c is
Resistivity of both wires are same
i guess