Use the Pythagorean theorem to find x and y in each of the following. Complete parts (a) th a. x = 13 (Simplify your answer. Type an exact answer, using radicals as needed.) 12

Q: Find the distance between the two points in simplest radical form. 10 6. 5. 4 3. -10 9 -8 3. 4. 5.…

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Q: Find all possible solutions for a on -90° < a < 90° (rounding to 2 decimal places): Separate…

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Q: Use the Pythagorean theorem to find x and y in each of the following. Complete parts (a) through (f)…

A: For a right angled triangle, using the Pythagorean theorem, it can be written that .…

Q: A cylindrical gasoline tank, lying horizontally, 0.90 m. in diameter and 3 m long is filled to a…

A: Let's find.

Q: Complete the following table. Use the 30°-60°-90° and 45°-45°-90° triangles. Do not use a…

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Q: If 7 – 4cos 0 = 7, where 0 < 0 < 2n, what are - the values of 0? List your answers as exact answers…

A: Explanation of the answer is as follows

Q: 80. Show that the area A of the triangle is given by A = - bc sin A. 2 a B

A: Let h be the height of the triangle, then

Q: in QI and tan B = 3/4 with B in QI, find tan(A + B)and cot(

A: Tan(A+B) =[Tan(A) +Tan(B) ]/1-Tan(A) Tan(B)

Q: Find the indicated power using De Moivre's Theorem. Leave the answer in a + bị. 6.

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Q: Consider a right triangle with the side of length X opposite angle A, a side of a length Y opposite…

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Q: 13 In ATHR, mZR= 30° and TR=92/3. Find HR in simplest radical form

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Q: A. A'n (BUC') = { (Use a comma to separate answers as neede

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Q: Use the Pythagorean theorem to find x and y in each of the following. Complete parts (a) through (f)…

A: As per our guidelines we are suppose to solve only first three questions. Kindly repost the other…

Q: Use Euler's Formula to express each of the following in a + bi form. Use symbolic notation and…

A: i) -e3π4iii) eπiiii) 5ie-π3i

Q: Complete the following table. Use the 30° - 60°- 90° and 45°– 45° – 90° triangles. Do not use a…

A: Complete the following table

Q: Use a double angle formula to find the exact value of 2cos2(pi/6)-1. Type an exact answer using…

A: Given:

Q: Find the distance between the two points in simplest radical form. 10 9. 7. 6. 4 3 10 9 -8 -7 "5 4…

A: Given: The objective is to find the distance between the two points.

Q: Use DeMoivre's Theorem to calculate the following expression. Express your answer in the form found…

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Q: Usde Special Right Triangle radicals in simplest form. 11) 45° y 2

A: We have the given figure as As we know that, tanθ=Perpendicular sideBase side…

Q: Use the Pythagorean theorem to find the unknown side of the right triangle. Give an exact answer and…

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Q: Use De Moivre's Formula to find (1 + i)10. State the result in standard form.

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Q: Use the quadra 2+x-5=D0 uning radicals as needed. Use a comma to separate answers as needed.

A: The given equation is as follows:x2+x-5=0

Q: If 0 < 0 < 2n and -4sin 0 + 6 = 2\3 + 6, determine the values of 0. List your answers as exact…

A: Given :-4sinθ+6 =23+6

Q: 1) Find the cosine of 15° using the sum/difference formula Answers are to be in radical format.

A: Given problem is :

Q: What is the modulus of the compex number (4 + 5i) if it is converted to the trigonometric form? A…

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Q: (3) I= √(1-x²) ³² 203 x dx

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Q: Write a in the form a = a-T+ anN at the given value of t without finding T and N. r(t) = (2t + 3)i +…

A: see below the answer

Q: For the given right triangle, the longer leg is 8 units long and the shorter leg is 4 units long.…

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Q: Use the special right triangle formulas to find the value of x. 45° 25 Your answer: O 12.5 O 25 O…

A: Given:

Q: 9T Using co-terminal angle, find cot O undefined 0 1 O-1

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Q: Use the triangle shown to the right to evaluate the following expression. If necessary, express the…

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Q: Use De Moivre's Theorem to find the reciprocal of the number below. 1 + i

A: See the details solution below

Q: Find all values for θ for which sin ⁡ θ = − 0.9644 and 0 ∘ ≤ θ ≤ 720 ∘. Round angles to the nearest…

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Q: If 4sin 0 – 8 = –10, where 0 <0 < 2n,what are the values of 0? List your answers as exact answers in…

A: 4sinθ-8=-10

Q: A telephone pole is held perpendicular by a guy wire attached 27 feet from the ground at 60°…

A: The height of the telephone pole is AB= 27 ft. An angle m∠A=60∘

Q: use a computer algebra system to calculate the total length to two decimal places. The three-petal…

A: For finding the intervals, put r=0 0 = cos 3θ cos π/2 = cos 3θ π/2 = 3θ θ = π/6 The first leaf of…

Q: In A THR, m/R = 30° and TR = 125/3. Find HR in simplest radical form. %3D %3D R. 4.

A: We are asked to find  HR length.

Q: The distance is (Type an exact answer, using radicals as needed.)

A:

Q: A corner has been cut out of a 5 in by 3 in rectangle. The removed corner is in the shape of a…

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Q: 12 tan arccos 2 (Type an exact answer, using radicals as needed.)

A: Given :

Q: 2a 36 9 atle a te Perform the indicaded operation.

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Q: For the given right triangle, the longer leg is 4 units long and the shorter leg is 3 units long.…

A: Consider a right angle triangle

Q: Given sec A = (sqrt(13))/3 and that angle A is in Quadrant Ifind the exact value of cot A in…

A: Trigonometric ratios

Q: If –4cos 0 + 3 = 3, where 0 <0 < 2n, what are the values of 0? List your answers as exact answers in…

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Q: Use Euler's Formula to express each of the following in a + bi form. (Use symbolic notation and…

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Q: If –8cos20 – 4 = -12, where 0 < 0 < 2n, what are the values of 0? List your answers as exact answers…

A: Solve for theta

Q: (A) Find ( 3- 5 i )6 using DeMoivre's Theorem.

A: De-Moivre's Theorem states that if  a complex number z in polar form is given by…

Q: Starting with a 20-foot-long stone wall, a farmer would like to construct a rectangular enclosure by…

A: The rectangle is of length= x+20 feet And width = w feet20 feet of the perimeter is stone wall. So…