A steep mountain is inclined 72 degrees from the horizontal and rises 3000 vertical feet above the surrounding plain. A cable car is to be installed that will travel from a point 800 ft from the base of the mountain to the top. Find the shortest length of cable needed. Your answer is ft;

Q: Remember that rectangular form is z = a + bi and that polar form is z = r(cos 0 + i sin 0) Take…

A: Solution: To get the required answer, we simply multiply out the expression: 5.2(cos21°+i…

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Q: Find the following dot product. (-19,3) · (16,-6)

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Q: Problem 5: An airplane has heading 230 degrees and flies at 373 miles per hour. Express the vector…

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Q: 6. Determine exact solutions for each equation on the interval x € [0, 2π] 2 a. sin²x - ² = 0 b.…

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Q: Find the perimeter (in inches) and the area (in square inches) of the quadrilateral. measurement.)…

A: perimeter(p)=2(side(1)+side(2))area(A)=base ×height

Q: Which transformation changed f(x) to g(x)? f(x) = -3x + 1 A g(x) = 3x + 1 2999 Vertical translation…

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Q: Write the following equation with rectangular coordinates: r^2=9

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Q: f(t) = 3 cos 2t + 3 sin 2t

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Q: 5. Find the area of a parallelogram if the angle between two of the sides is 120°, and the two sides…

A: Area of a parallelogram= product of size of two lengths*(sine of angle between them)

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A: Solution: u→=1,3

Q: lowing diagrams. b) 130% 3x 2x 30

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Q: Write sin 6x - sin 4x as a product of trigonometric functions.

A: Given query is to write the expression as product of trigonometric functions.

Q: What are the vertical asymptotes of the following rational function? x + 5 y=x² + 7x + 10 x = -2 and…

A: Vertical asymptotes of the function y=f(x) is the set of values of x for which f(x) tends to…

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Q: Use the Pythagorean Theorem to find the missing side length of the following triangle (c is the…

A: We will be using the Pythagorean Theorem to find the missing side length of the following triangle.…

Q: Which transformation changed f(x) to g(x)? f(x) = 2x + 2 g(x) = 2x + 7 Horizontal translation of 5…

A: To transform the function f(x) to f(x) +a we perform vertical translation of f(x) by a unit.

Q: (e) To what limit(s) can the fixed-point iteration In 5 cos(n-1)+2-1+kxn−1−4 1+k converge as n→∞,…

A: Given: xn=5 cos(xn-1)+xn-12+kxn-1-41+k

Q: A = 125°, b = 9, c = 6

A:

Q: Perform the indicated operation: 3 [ cos (17°) + i sin (17°) ] * 13 [ cos (40°) + i sin (40°) ]

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Q: For the following pair of vectors, find U · V. U = 6i + 3j, V = −6i + 3j

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Q: Given that cosα = 3 4 R and 0 < a < 0 < a < = ₁² determine the exact value of cos- 2 cos-22=0…

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Q: Simplify the expression: 2-25 5+

A: Given Expression:- x2-253x53x+13

Q: nt The position of a particle as it moves horizontally is described by the given equation s(t) = 12…

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Q: Solve the equation 1+tan² (-a) sec³ a Provide your answer below: a = given that 0 < a < 27. Separate…

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Q: Rewrite the complex number 8e6i in a + bi form.

A: We know  eiθ=cosθ+isinθ

Q: Give the coordinates of the point F in the graph below. Enter your answer as (r,) with in radians.…

A: Here we can see that  F point is at distance of 2 units from center. So radius r will be 2 units.

Q: Find the height of this triangle. 4 m 4 m 4 m

A: NOTE: Refresh your page if you can't see any equations. . the length of the all 3 sides is a=4 m now…

Q: The equation of an ellipse is given below. Graph the ellipse; find the center, vertices, foci, and…

A: Given : x+6264+y+72100=1

Q: Identify each complex number graphed. 5) 7) A Imaginary A Imaginary Real Real 6) 8) A Imaginary A…

A: Complex number are in the form x+iy   where x, y are real numbers. Complex number are the points in…

Q: Find cos(α)​, given that sin(α)=1.

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Q: ∞ Find the trig ratio of Cos(X): 15 Y 17 8

A: The given triangle is

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A: The given data is: B=52∘, b=12, c=10 Solve the given triangle.

Q: Solve the following equation for y(x): y" + 4y = 6 cos 3x + 20 sin 3x

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Q: 2) -3x + y = 23 A) (4,1) C) (-8, -1) B) (-4,-1) D) (1,4)

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Q: What is the exponential form

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Q: Using the figure below, find the measure of each acute angle for the right triangle in degrees.…

A: Given query is to find the value of the missing angles.

Q: Evaluate. Write your answer as an integer or as a decimal rounded to the nearest hundredth. cos 78°…

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Q: 6. Find the trig ratio of Tan(Z): Z 8 24 X 18

A: Tanz is the ratio of opposite of Z to adjacent side of Z

Q: Simplify the expression. 1- cos 143° 1+ cos 143°

A: Given ( 1 - cos143° ) ( 1 + cos143° )

Q: Using the Law of Sines to solve the all possible triangles if ZA = 105°, a = 35, b = 12. 4 If no…

A: figure:-

Q: 4x Plot the point 1,3 given in polar coordinates, and find other polar coordinates (r,0) of the…

A: Given: Point - 1,4π3

Q: Write the equation of the ellipse centered at the origin with a vertex at (0, 6) and a co-vertex at…

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Q: Consider the equation 20 cos x = 10 √2 for real values of x. a) A student states that this equation…

A: Given equation 20cosx = 102

Q: Determine the area of a triangle having the following measurements. Round your answer to two decimal…

A: Given query is to find the are of the triangle

Q: Use the trigonometric identities to expand and simplify if possible. 1-cos(1) Enter…

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Q: Use long division or synthetic division to divide the following polynomials: 3x³ + x²-3x+1+x+3

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Q: Find the intercept points of the ellipse. x² 2 + y² 9 4 4 1 O None of the answers given are correct.…

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Q: Solve the following triangles. Find angles to the nearest minute and sides to the nearest tenth.

A: NOTE: Refresh your page if you can't see any equations. . here we have