Let a = ⟨5 , − 3⟩ and b = ⟨− 4 , k⟩. Find k so that a and b will be orthogonal (form a 90 degree angle). k=___________

Q: The cables attached to a TV relay tower are (130m bar notated) long. They meet level ground at an…

A: The cables attached to a TV relay tower are (130m bar notated) long. They meet level ground at an…

Q: Find the area of a triangle with the given description. (Round your answer to one decimal place.) a…

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Q: Find the zeros of the polynomial function P(x) = (x² - 4) (x - 5)³.. If a zero is a multiple zero,…

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Q: Calculate the magnitude of vector u =  <3, 4> .

A: The objective of this question is to calculate the magnitude of a vector. The magnitude of a vector…

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Q: Use the formulas for lowering powers to rewrite the expression in terms of the first power of…

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Q: Page < 4. A golf ball is hit with a 45° angle of elevation from the top of a ridge that is 50 feet…

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Q: 3) Consider the right triangle and find x: 6 X 5

A: Let,hypotenuse  : c = 6perpendicular  : a = 5base : b = x

Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (0, ±3), hyperbola…

A: Foci: (0,±3), hyperbola passes through (4,5)Let equation for the hyperbola bex2a2−y2b2=−1

Q: Let θ be an angle such that cotθ = −3/2 and secθ < 0. Find the exact values of tan ⁡ θ and sec ⁡ θ.

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Q: Name the quadrant in which angle θ lies. cosθ > 0, cotθ < 0

A: To find the quadrant, we have to find the common quadrant in which both the conditions are…

Q: A parallelogram has sides of lengths 7 and 4, and one angle is 44°.

A: p=x2+y2−2xycos⁡A=x2+y2+2xycos⁡Bq=x2+y2+2xycos⁡A=x2+y2−2xycos⁡B

Q: Find the radius of a circle in which a central angle of pi/6 radian determines a sector of area 43…

A: Given, a central angle of the pi/6 radian.Given, a sector of area 43 square meters.We know formula…

Q: 10 km 0 B I Not drawn to scal

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Q: Find the exact value of y or state that y is undefined. y=sin [tan ¹(-8)]

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Q: Prove the identity. cotx (1-cos2x) = sin 2x

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Q: A Ferris wheel was built for an exposition. It held 2100 people, had diameter of 251 ft, and took 25…

A: Diameter = 251 ftTime = 25 minute

Q: Prove the identity. cotx (1-cos2x) = sin 2x

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Q: ithologists have determined that some species of birds tend to avoid flights over large bodies of…

A: As per our guidelines we can solve one question only or first three sub parts only. If you need more…

Q: The graph of y=sec(x) and y=csc(x) are transformations of each other. 1) Explain what…

A: We have to explain transformation needed to convert y=sec(x) into y=csc(x) and the equation that has…

Q: Find the value of s in the interval [0, pi/2] that makes the statement true round to four decimal…

A: Given, tan s=7.6808.Given in the interval [0, pi/2].

Q: how to verify (1-2cos^2x)/(1-2cosxsinx) = (sinx+cosx)/(sinx-cosx)

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Q: tan 0 = 7 , sin 0 <0 Find cos(20)|

A: Given that

Q: Find (if possible) the exact value of the expression. (If an answer is undefined, enter UNDEFINED.)…

A: To find (if possible) the exact value of the following expression.

Q: Consider the following. 2 -3 1 -3 1 21 +] [3] 1 0-2 25-3 (a) Find A + B. A (b) Find A B. 1 (c) Find…

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Q: Use the figure and write the vector in terms of the other two vectors. v=

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Q: Solve the equation for solutions over the interval [0°, 360°). tan ²0 + 8 tan 0 +5=0 Select the…

A: To solve the following equation over the interval (].

Q: Please see A -D do not understand those

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Q: Use the half-angle formulas to find the exact value of the trigonometric function cos-22.5°.

A: The given trigonometric function value .The aim is to find the exact value of the expression using…

Q: Plot the points with polar coordinates (2, 1) and (-4,-2) using the pencil. 210 210 216 Film E

A: Consider the polar coordinates

Q: Find sin(2x), cos(2x), and tan(2x) from the given information. 12 x in Quadrant II sin(2x) tan(x) =…

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Q: Create a polynomial N (x) such that it is at least degree 4 and cannot be fully factored. Show…

A: To create a polynomial N (x) such that it is at least degree 4 and cannot be fully factored.

Q: Write an equation for the parabola with focus (-1,2) and vertex (3,2).

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Q: Determine the values of ? if 0 ≤ ? ≤ 2? given that cos ? = −0.3178

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Q: A light aircraft was traveling 108 miles per hour straight and level when the pilot measured a…

A: A light aircraft was traveling 108 miles per hour straight and level when the pilot measured a…

Q: Solving the following equation will require you to use the quadratic formula. Solve the equation for…

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Q: Write the augmented matrix, the coefficient matrix, and the constant matrix of the system of…

A: The given system of equations

Q: Q₂:- A: Find the inverse of the matrix F-15 o O o ju o Lo o jio incurs LAnsuler Three onl

A: Let,

Q: A street light is at the top of a 20 ft tall pole. A woman 6 ft tall walks away from the pole with a…

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Q: Exercises 1-4: Solve the triangle. Approximate values to the nearest tenth. 1. A 70° 10.1 40° B 3.…

A: Consider the traingle

Q: 5. Evaluate angle 0 to the nearest degree 0° ≤ 0 ≤ 90°, sin 0=0.7563_0= 6. Evaluate angle 0 to the…

A: 5. sin (theta) = 0.7563 theta =arcsin(0.7563)Therefore theta = 49°  (round to nearest deg)

Q: Give a word problem regarding time rates: inverse trigonometric functions Show FBD, no FBD gets…

A: We have to give a word problem regarding time rates involving inverse trigonometric…

Q: Prove the identity. sec²x 2 tan.x = csc 2x Note that each Statement must be based on a Rule chosen…

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Q: Exercises 35-38: Checking Symbolic Skills (Refer to Example 7.) Evaluate the indicated trigonometric…

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Q: 1. Find the value of sin(arc cos 15/17).       A. 17/9                    C. 8/21       B. 8/17…

A: The given expression

Q: 3) cos 60° + tan 60° 3√3 2 A)

A: Let A=

Q: How do I write tan t + cot t as a product of two trigonometric functions would I need to simplify or…

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Q: Given that cos α = your answers. 3 and 0° < a < 90°, determine the exact values of sin 4 8|N 1 COS…

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Q: Solve the equation in radians for all exact solutions where appropriate. Round approximate answers…

A: Given thatTo find the solution

Q: Use table for trigonometric function values of some common angles and simplify the resulting…

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