Write the Unit vector that has the same direction as the vector v. Give an exact answer. v=12i-5j

Q: The vertices of a triangle are defined by the given points. A(-8, 3), B (4, –2), C(-9, -7) Part: 0 /…

A: Find all the lengths and add them

Q: Add as indicated. (58° 45') + (37° 55')

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Q: cos(2tan^-1 3/2)

A: Answer is in next step

Q: b) f(x, y) = 1/(x + y) %3D c flr v) == elr+y+1)

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Q: A revolving beacon is situated 3000 ft off a straight shore. If the beacon turns at 4n rad/min., how…

A: Solution is given below:

Q: To determine the distance between two points A and B, a surveyor chooses a point C that is 235 yards…

A: Solution: According to the given data where AC=b,  BC= a,  AB=c , γ=∠BAC=49°30' =49.5°

Q: In the accompanying diagram of a right triangle ACD, B lies on AC, BD is drawn such that m2CDB = 27,…

A: This question is based on Trigonometric Ratios.

Q: 1-5. Given the right triangle below, determine the measure of side x. Show your 45° 16 cm

A: In Right angle Triangle ABC ,     cosθ = AdjacentHypotenuse

Q: 1 Find the coordinates for circular point o= O a. b. O d. 2. Find the coordinates for circular point…

A: Co-ordinates of a circular point ω=θ is given by,(x,y)=(cosθ,sinθ)

Q: 2TC 9) y= 4cos | 30 + +2 3 %3D

A: Find the amplitude, the period in radians, the phase shift in radians, and the vertical shift. Then…

Q: (a) Using a trig identity, write z(t) = -5 cos(4t) - 3 sin(d4) using only one cosine function. z(t)…

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Q: 3] y = 12x - 2x+ 5 Degree: Sign of LC: as x→-0, y→. as x 0, y -

A: We have to find the degree and sign of LC and find endpoints.

Q: 2) 18 17°

A: Fins the value of x

Q: Given DEFG above right is a parallelogram with diagonals DF and EG that intersect at C. If |DC| =…

A: topic - quadrilateral

Q: (4, -3) and (4, 5) are the ts of the sides of a triangle, poordinatoc ardinates cf ite enti

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Q: If sin(A)=−35sin(A)=-35 with AA in QIVQIV, and sin(B)=45sin(B)=45 with BB in QIIQII then cos(A+B)=

A:

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

A: Note : DeMoiver's Theorem :If  r(cosθ + i sinθ) is a complex number then ,{r(cosθ + i sinθ)}n =…

Q: A Solve for all missing sides and angles in each tr to scale. 1. A 520 9. 14 B C

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Q: Question 1 Given: cos 0 = * where 0 <0 < 90 %3D 13 Find tan 20 169 - 119 120 119 119 120 120 119

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Q: Approximately

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Q: 2 sin² x+1 cos? x +1.

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Q: Find the exact value of the expression using an appropriate half-angle formula. Simplify tan 5pi/8

A: The given expression,    tan5π8

Q: Using the law of sines, solve for the unknown part of a given triangle. 1. 2. 8.8 71° 13 12 58% 86°…

A: The law of sine is: asin A=bsin B=csin C

Q: Find X and y 60° 38

A:

Q: Consider the vectors. 4i - j, -10i + 3j (a) Find the dot product of the two vectors. (b) Find the…

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Q: A. Using law of sines, solve for the unknown 1. Given A = 118°;B = 22°;c= 24, a3D? 2. Given B = 42°;…

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Q: Two fire lookout towers at points A and B are 5 mi apart. Find the distances from points A and B to…

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Q: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) r cos(?)…

A: Given; r cos(theta)=7.

Q: Solve the equation 2 sin θ + sin 2θ = 0 if 0◦ ≤ θ < 360◦

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Q: Find a Cartesian equation for the curve. r cos(e) - 10 Identify the curve. O ine hyperbola O circle…

A: Given: rcos(θ)=10

Q: 1. A ladder 9 meters long leans against the wall of a building. If the foot of the ladder makes an…

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Q: Find the horizontal and vertical components of the vector with the given length and direction, and…

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Q: Find the exact value of the following: sin (arctan ) 60

A: To find the exact value.

Q: Find all solutions to the following triangle. (Round your answers to the nearest whole number. If…

A: Law of sines : sin Aa = sin Bb = sin Cc

Q: Find 2u, -3v, u + v, and 3u - 4v for the given vectors u and v. (Simplify your answers completely. =…

A: This is a problem of vector calculation. Based on the general formula we will solve the question.

Q: Find the relative maximum / minimum values of the function S(x)= *-2 x+2 State where the function is…

A: The given function is: f(x)=x-2x+2⇒f(x)=x+2-4x+2⇒f(x)=1-4x+2

Q: Chang and Salma are standing on a riverbank, 170 meters apart, at points A and B respectively. (See…

A: Given query is to find measure of angle B

Q: Consider a triangle A BC like the one below. Suppose that a =39, b=54, andA=108°. (The figure is not…

A: Given query is to solve the triangle.

Q: 2 sin@ cos e-13 sin e= 0 %3D

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Q: C4. Find an equation that represents the hyperbola that has its vertices at (4,-1) (-4, -1) and foci…

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Q: If (-2, 3), (4, -3) and (4, 5) are the mid-points of the sides of a triangle, find the coordinates…

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Q: 2: find fx, fy, and f2. a f(x, y, z) = 1 + xy? - 2z? 5 f(x, y, z) = x - Vy2 + z² c) f(x, y, z) = e 2

A: partial derivative

Q: ind the quotient - of the complex numbers. Leave your answer in polar form. Z2 2, =7 cos sin Z2 = 8…

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Q: If a = 5 and c = 20, determine the value of A, in degrees. Round to two decimal places.

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Q: Tell whether the two triangles are always, sometimes, or never similar. a. Two equilateral…

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Q: Find the angle ? between the given vectors to the nearest tenth of a degree. U = 13i + 5j, V = −11i…

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Q: 10 60 5. 60' 14 10

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Q: Eliminate the parameter t in the following. x = 4 csc t, y = 4 cot t

A: Given,x = 4 csc t, y = 4 cot t  To be found : eliminate the parameter t in given conditions

Q: If B = 29° and a = 9, determine the value of c. Round to two decimal places. B.

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Q: Write the equation of the given sine curve: 3x, 5 0, 3 a, 1 12

A: