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Law of Sines and Law of Cosines
Quiz by Marleen Alice Meyer
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You can use Law of Sines on a SSA triangle
what law should you use for a SSS triangle
Law of Sines
Law of Cosines
You can use Law of Sines on a SSA triangle
what law should you use for a SSS triangle
You can use the Law of Sines or Law of Cosine on an AAA triangle.
What law should you use for a SAS triangle?
What Law do you need to consider the ambiguous case with?
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Comparing Law of Sines and Law of Cosines - Starter Quiz
Law of Sines and Cosines
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M11_Law of Sines and Cosines GAME
Law of Sine and Law of Cosine
Applications of Sine Law and Cosine Law
Allele variation of a specific gene Artificial Insemination (AI) collecting and preserving semen from sires and using artificial means to introduce it to the dam’s reproductive tract Body Cells make up the organs and tissue of an animal and have chromosomes in pairs, called diploids Clustered Regularly Interspaced Short Palindromic Repeats (CRISPR) gene editing technology Codominance heterozygous individual expresses the phenotype of both alleles simultaneously Complete Dominance heterozygous gene pair is expressed the same as a homozygous dominant gene pair Crossbreeding sire from one breed and a dam from another, with each breed excelling in a certain characteristic to benefit the producer and the offspring Deoxyribonucleic Acid (DNA) stores genetic information and acts as a blueprint for all genetic material in the organism in two strands arranged in a double helix Dominant Alleles represent a dominant phenotype and are expressed as uppercase letters Embryo Transfer eggs are collected from a desirable female, fertilized and then implanted in several other females Expected Progeny Differences (EPDs) measure of the heritability of breeding values and traits Gametes fulfill the purpose of sexual reproduction, passing on half of the genetic code in the form of sperm and ovum and are also called haploids or sex cells Genotype organism's genetic composition, which determines its heredity potential and limitations Grading Up using a purebred sire to breed grade (unregistered or commercial) females Heritability degree to which offspring resemble their parent for a particular trait Heterosis (Hybrid Vigor) ability of crossbred animals to have the best traits from each parent Heterozygosity phenomenon of inheriting a different version of an allele from each biological parent Homozygosity phenomenon of inheriting the same version of an allele from each biological parent Inbreeding breeding of closely related animals with the goal of concentrating traits from a superior individual Incomplete Dominance dominant allele does not completely overcome the recessive Law of Dominance states genes will express themselves with the dominant gene appearing in the phenotype Law of Independent Assortment states unlinked or distantly linked gene pairs separate independently of other genes Law of Segregation states paired genes must segregate equally into gametes in a way so offspring have an equal likelihood of inheriting either factor Locus place on a chromosome where a gene is found Meiosis process of cellular reproduction of gametes and results in four genetically different daughter cells Mitosis process of cellular reproduction of body cells which creates two genetically identical daughter cells Outcrossing breeding highly unrelated individuals within a breed Phenotype all the observable characteristics of an organism resulting from the interaction of its genotype with its environment Polygenic Traits controlled by many gene pairs Punnett Square graphical representation of the possible genotypes of an offspring arising from a particular breeding, using letters to represent the genes Recessive Alleles non-dominant phenotypes which can still affect the appearance of an animal, but not as commonly, and are expressed as lowercase letters Ribonucleic Acid (RNA) replicates genetic information found in DNA to build proteins in processes known as transcription and translation Simply Inherited Traits typically controlled by one gene pair
Earth's History. All the processes that have been discussed require long periods of time to create a noticeable change on Earth's surface. You can just imagine how long it would take to create an oceanS as vast as the Pacific Ocean if the ocean floor moves only at about 10 cm/year. It is then important to know the history of Earth to learn the complexities of its past and be able to use it to understand the present. Just like learning the history of a country that requires one to read a lot of books, learning the history of Earth involves studying a lot of rocks. Rocks, especially sedimentary rocks, contain a lot of information about Earth's past. It holds the key to most of the geologic processes that happened on Earth and the key to uncovering how life on Earth evolved. But these discoveries are worthless if there is no time perspective. Thus, one of the most important contributions of geologists to mankind is the geologic time scale, which holds a history that is exceedingly long.The geologic time scale divides the history of Earth into different blocks of time by using relative dating. Since geologists use rocks to understand Earth's history, dating does not give accurate numerical dates, it only tells that an event preceded the relative dating places these rocks in their proper sequence of formation. But relative other. This method is still widely used today, alongside a more accurate method called absolute dating, which uses radioactive elements. With relative and absolute dating. geologists can trace the history of Earth. Relative Dating. Relative dating requires one to know the basic principles such as law of super-position, principle of original horizontality, principle of cross-cutting relationships, and unconformities.Law of Superposition The law of superposition is the most basic principle in relative dating. It states that in an undeformed sequence of sedimentary rock, the layers found at the top are the youngest rocks and the layers at the bottom are the oldest. It may seem too obvious, but this principle has only been clearly stated in 1669 by the Danish anatomist, geologist, and priest, Nicolaus Steno. Principle of Original Horizontality Along with the law of superposition, Steno stated that an undeformed sequence is the one where the layers are still in a horizontal position. This follows the principle of original horizontality, which states that sediments are deposited horizontally. Principle of Cross-Cutting Relationships The principle of cross-cutting relationships determines which events occurred first depending on which rocks are affected. The geologic layer that cuts another is younger than the layer it cuts across.Unconformities Rock layers that have not been interrupted are considered conformable. These sites represent spans of geologic time. But there is no place on Earth that has a complete conformable stratum since external and internal processes have always interrupted the deposition of the sediments. These breaks in the record of the rock strata are called unconformities. Using unconformities, geologic events are determined. There are three basic types of unconformities angular unconformity, disconformity, and nonconformity. Angular unconformity is characterized by having tilted or folded sedimentary rocks below younger, horizontal layers of rock. Disconformity is determined where there are missing parallel rock layers. Erosion takes place and removes the younger top layers and then deposition would once again happen. Nonconformity is characterized by an igneous or metamorphic rock found below a sedimentary rock. Figure 3-13. Three basic types of unconformities Using these principles for relative dating, one can determine the order of events However, relative dating does not give a time element as to when they happened. Absolute Dating For a much more accurate method of determining the history of Earth, geologists make use of absolute dating. This method uses unstable elements to determine the exact age of rocks. Isotopes are elements that have the same number of protons but different number of neutrons. Most isotopes are stable but some may be unstable. This is because the forces that bind the protons and neutrons in the nucleus of the isotope are not strong enough to hold them together, resulting in a radioactive decay, The unstable isotopes are called radioactive isotopes or parent isotopes. When these parent isotopes undergo radioactive decay, new isotopes, known as daughter products, are formed. The time it takes for one-half of the nuclei in the sample to decay is called half-life. This amount of time is fixed for each kind of radioactive isotope no matter what physical conditions it is subjected to. The ratio of parent daughter isotope determines how many half-lives have passed. If it is 1:1, then one half-life has passed; if it is 1:3, then two half-lives have passed; and if 1:7, then three half-lives have passed, and so on. Therefore, using the concept of half-life and parent-daughter ratio, geologists can determine the exact age of the sample. This method is called radiometric dating. It uses five radioactive isotopes to determine the age of rocks. For dating rocks that are about a million years old, rubidium-87, thorium-232, and the two isotopes of uranium (U-238 and U-235) are used. The fifth radioactive isotope is potassium-40, which has a half-life of 1.3 billion years. With these radioactive elements, determining the accurate age of rocks becomes easier. For dating events that are more recent, radiocarbon dating is used. This method uses carbon-14. Carbon-14 has a half-life of 5730 years and can be used to date back events up to 75000 years. All organisms contain a small amount of carbon-14, which is proportional with the amount of carbon-12. When an organism dies, the carbon-14 decays and is no longer replaced. The amount of carbon-14 left in the sample is then compared to the amounts of carbon-12 present, and radiocarbon dates can then be determined. This method has been particularly useful for anthropologists, archeologists, historians, and geologists for events that are much more recent.Fossils Aside from rocks, geologists also use the remains of living organisms in understanding Earth's history. Some fossils are formed from parts of an organism (body fossil), while some provide signs or clues as to which life-forms were present at that time (Frace fossils). Fossils contain a lot of information about the past the kind of organisms that have lived, the environment where organisms lived, and the evolution organisms underwent as their environment changed. However, not all organisms turned into fossils, therefore, scientists cannot learn everything about the past using fossils alone. There are also fossils that are used to determine the age of a rock. These are index fossils and these are only found in rocks of a particular age. The organisms that turned into index fossils have a relatively short life-spanning from a few million years to a few hundred million years. Index fossils are also found in most of the common rocks around the world, which makes them easier to identify.The methods used for dating the age of rocks are also used for fossils. Absolute dating is more commonly used since it can give exact numerical dates for the age, but relative dating can also be used to determine which fossils are older.