Rationalize the denominator. If possible, simplify the rationalized expression by dividing the numerator and denominator by the greatest common factor. 2 √6 2 √6 (Simplify your answer. Type an exact answer, using radicals as needed.)

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A: Using the given figure. We have to solve the right triangle. Given,  Then we have to find a, b, and…

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Q: Find the area of the triangle having the given measurements. A = 30°, b= 18 feet, c = 40 feet Area…

A: GivenA = 30°, b = 18 feet, c = 40 feet

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A: slove above triangle question

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A: To sketch the vector as a position vector and to find its magnitude.

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Q: Find all the complex fourth roots of 10 + 10i. Write roots in rectangular form. Zo = (Type your…

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Q: Enter the number that belongs in the green box. 8 40° 106° [?] Round to the nearest hundredth. Enter

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Q: Find all solutions of the equation in the interval [0, 21). cot²0-1=0 Write your answer in radians…

A: The given equation is; Cot2(theta) - 1 =0, [0,2pi)Find the values of theta.

Q: (-21) 10 5 AY -5 (010) 5 (614) (8,3) X 10

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Q: Use DeMoivre's Theorem to find the indicated power of the complex number. Write the answer in…

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Q: Enter the number that belongs in the green box. 60° ? 22° 7 the parest hundredth

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Q: Multiply and simplify by factoring. √15 √21 ●

A: =

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Q: Find all the complex cube roots of 1. Write the roots in rectangular form. 20 =0 (Type your answer…

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Q: [?] 70° 15 61°

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Q: Complete the identity. (secx + 1)(secx - 1) tan² x Blank 1 = I Blank 1 Add your answer

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Q: Use a calculator to find the value of the following expression. COS -1 √3 8

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Q: Convert the rectangular equation to a polar equation that expresses r in terms of 0. x² + y² = 169

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Q: Use the figure to find the exact value of the trigonometric function. Find cos 20. Blank 1 3 51 8/…

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Q: Enter the number that belongs in the green box. 7 13 9 [? ]° Round to the nearest hundredth. Enter

A: Draw given sketch and name the vertices

Q: Find the quotient form. Z₁ Z₂ Z₁ of the complex numbers. Leave your answer in polar Z2 Z₁ = 63( cos…

A: Z1= 63( cos 125° + i sin 125° )Z2 = 7( cos 25° + i sin 25° )

Q: MAT 143: Algebra and Trigonometry Instruction: 1. Carefully read the question then answer. 2. Answer…

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A: The given problem is solved below in detail.

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Q: Find all solutions of the equation in the interval [0, 27). tan²x+secx=1 Write your answer in…

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Q: Two sides and an angle are given below. Determine whether the given information results in one…

A: b=4 , c=6, B=30

Q: Use a Pythagorean identity to simplify  6 cos^2 ? − 6 sin^2 ?.

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Q: 500 feet 120 feet 120 feet 6° The figure shows a 500 foot tower on the side of a hill that forms a…

A: The solution is shown in step-2

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A: The solution is shown in step-2

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Q: Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements…

A: Two sides and an angle is

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Q: Let u = i + j, v = 2i-5j, and w= -4j. Find 5u (3v - 4w). 5u (3v-4w) = (Simplify your answer.)

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Q: Consider a triangle ABC like the one below. Suppose that b=49, a=64, and B=26°. (The figure is not…

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Q: tan(A+B)= In which quadrant does (A+B) terminate in? *Enter 1, 2, 3, or 4*

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