A student named Janine says that the measure of side b is 64 ft. Please state whether this is correct or incorrect. If this is i
ncorrect, state the length of b. Explain your answer in complete sentences. Use vocabulary such as Pythagorean Theorem, side, hypotenuse, square root etc.
1 answer:
The measure of side b as 64 ft is incorrect. The accurate measure would be 8 ft.
According to the Pythagorean theorem, the square of the hypotenuse of a right-angle triangle is the sum of squares of the opposite and the adjacent sides. Mathematically:
In this case, the hypotenuse = 10 ft, the opposite = 6 ft and the adjacent = b
Hence,
b^2 = 10^2 - 6^2
= 100 - 36
= 64
b = √64
= 8 ft
Thus, the side b is 8 ft and not 64 ft.
More on the Pythagorean theorem can be found here: brainly.com/question/16426393
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Diagram found elsewhere attached
Answer:
Clockwise from bottom
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6. secretion of hormone by tissue
4. initiation of DNA replication because of a signal given by the hormone
2. synthesis of protein molecule by mRNA and tRNA
1. secretion of protein by the cell
5. binding of the hormone molecule with its receptor of the cell
Explanation:
The tissue in the top left releases a hormone. For example, a steroid hormone such as estrogen, which can impact gene expression at the level of transcription. This hormone then travels to a different cell to carry out its function. The hormone is able to enter the cell and binds receptors which recognise it. In this case, these receptors are present in the nuclear envelope. When the hormone has bound the receptor, it initiates a signalling cascade that the cell responds to.
In this case, the effect of the signal from the hormone is to initiate DNA replication. This is a common effect of hormones such as growth factors that signal the cells to proliferate.
The initiation of the signalling can also affect how genes are expressed. In this case, an mRNA is produced in the nucleus, which is created as a result of transcription. This mRNA molecule then moves to the cytoplasm, where it becomes translated into a polypeptide sequence at a ribosome, with the help from transfer RNAs (tRNAs).
This polypeptide forms a mature protein by progressive folding and potential modifications, and is released by the cell to perform its functions.
