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For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C. Part A: State the Pythagorean theorem. Part B: Identify the hypotenuse. Part C: Determine the length of x , rounding to the nearest hundredth if necessary. Show your work.

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2. For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C. Use the triangle below to complete each part. Part A: Identify 2 angles in the triangle that are complementary. Explain. Part B: Find the sine of angle A and the cosine of angle B. Show all work Part C: Compare the sine of angle A and the cosine of angle B. Provide a supporting explanation.

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Why is it appropriate to use the trigonometric functions on triangle FGJ but not on triangle FHJ? Use the triangle at the left to answer problems 2-5. What is the length of the hypotenuse? (Hint: Use Pythagoras’ theorem.) 3. What is the sine of x? =_ What is the cosine of x? 5. What is the tangent of x? 6. Write an explanation of SOHCAHTOA as if you are explaining what it represents to a new geometry student include at least one diagram. Be thorough.

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Area. The figure (see Desmos) shows a horizontal line y c = intersecting the curve 3 y x x = − 8 27 in the first quadrant. Find the value of c that makes the two shaded areas equal.

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For items 18-20, refer to the problem below: A resistance of 2000 ohms and a capacitance of 5 x 10-4 farads are connected in series with an electromotive force of 100 volts. 18. Set up the differential equation necessary to ...

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Consider the force field F (x, y) = (xy + 2y^2)i + (3x^2 + y)j Find the work done by F to move a particle from (0, 0) to (1, 1) along (a) y = x^2 (b) the y-axis to (0, 1) and then along the line y = 1 (c) path (b) and then returns to the origin along path (a).
Consider the force field F (x, y) = (xy + 2y^2)i + (3x^2 + y)j Find the work done by F to move a particle from (0, 0) to (1, 1) along (a) y = x^2 (b) the y-axis to ...

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Find the solution of the non-homogenous differential equation. [10 Marks] 𝑑𝑦 𝑑𝑡 = [ 1 2 3 2 ] y + [ 6𝑒 −6𝑒 2𝑡 𝑡 ] where y = [ 𝑦1 𝑦2 ]

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Transform the equation 2 2 0 2 '' ' t x − tx + x = into an equivalent self adjoint equation. (b) Find the adjoint of equation 7 8 0 2 '' ' t x + tx + x ...

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