A person jogs 780 meters south and then 360 meters west. What is the direction of the person's resultant vector? Hint: Draw a vector diagram. R = 859.07 meters 0 = [?] Round your answer to the nearest hundredth.

Q: For triangle ABC, we are given that m/A = 54°, AB = 7.5 cm , and BC = 19 cm. We can use the Law of…

A: For triangle ABC, we are given that m/A = 54°, AB = 7.5 cm , and BC = 19 cm. We can use the Law of…

Q: A camera is at ground level 20 feet away from a building and focusing on a point 200 feet high.…

A: The objective of this question is to find the angle of elevation of the camera. This is a…

Q: Find the exact value of the expression sin (a - ß) given that cos α = ß in quadrant IV. 3 with a in…

A:

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

A:

Q: Evaluate the expression under the given conditions. sin(0 + 4); sin(0) = 13,0 in Quadrant I, cos(4)…

A:

Q: Sketch θ=−750° in standard position. Then show its reference angle.

A:

Q: Find the common difference d and the nth term an of the arithmetic sequence whose 6th term is 23 and…

A: Given that the arithmetic sequence whose  term is  and  term is

Q: x 2. -4 x

A: Note:-As per your demand we solve question 2 for you The given figure is

Q: A triangular field has sides of lengths 28, 32, 55 m. Enter your answer as a number; answer should…

A:

Q: Q2. A man sitting at a height of 40 m on a tall tree on a small island in the middle of a river…

A:

Q: 78. sin² 20 1 + cos 20 = 2 sin²0

A:

Q: can you explain letter a

A: The figure

Q: 5) Consider the right triangle and find x: 18 51⁰ X

A: Consider the figure

Q: Exercises 67 and 68: Evaluate the expression. 67. cos (2 tan-¹ 60 68. sin (2 sin ¹x), x > 0

A: let,

Q: Use the Law of Cosines to find the remaining side(s) and angle(s), if possible. a = 5, b = 12, c =…

A:

Q: use an identity to find the exact value of the expression: sin(11pi/8) = (no decimal points)

A: to find the exact value of the expression: sin(11pi/8) using identity.

Q: Problem 2: Determine the lengths x (adjacent side) and y (opposite side) to 3 decimal places of the…

A: To determine the lengths x (adjacent side) and y (opposite side) to 3 decimalplaces of the triangles…

Q: 11. The point (-15, 8) is on the circle of radius 17 at an angle 0. Find cos(0) and sin(8).

A:

Q: A toy car races along a circular track and is constantly 3 feet from the center of the race track.…

A: The diagram of the circular track is :-AB= radius = 3ft

Q: Suppose that scores on a particular test are normally distributed with a mean of 120 and a standard…

A: Suppose that scores on a particular test are normally distributed with a mean of 120 and a standard…

Q: The angle relative to the horizontal from the top of a tree to a point 10 feet from its base (on…

A:

Q: Solve the following equations on the interval [0, 2TT) 3B. 2 sin²x-1=0

A:

Q: Using the Law of Sines to find a triangle with one obtuse angle if ZA = 49°, a = 28, b = 30. If no…

A:

Q: Given p(x)=-2x4+6x3-4x2=-2x2(x-1)(x-2), find the end behavior, the zeros and their multiplicity.

A:

Q: Find all solutions to 2 sin(0) = -√√2 on the interval 0 ≤ 0 < 2π == 0 = Give your answers as exact…

A:

Q: A=59°, C=42° and b=51.4, find the area of the triangle:

A:

Q: A.0 OB. 13 OC-13 -50 D. Undefined 50 -50 50 What could the slope be? Choose the correct multiple…

A: We have to use the concept of slope of a line

Q: Consider the following. -2 A = 3 -1 0 -1 2 -4 3 3 (a) Find A + B. (b) Find A - B. (c) Find 2B. (d)…

A: The given matrices

Q: To approximate the length of a marsh, a surveyor walks x = 390 meters from point A to point B. Then,…

A: Formual for law of cosine is given as follows Where  is the angle between the side a and b

Q: Find the exact value of the expression. π 2 + tan

A:

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

A:

Q: Solve the equation for solutions over the interval [0°, 360°). cot 0 + 2 csc 0=3 Select the correct…

A: The given equation is  over the interval .The aim is to solve the given equation.

Q: Evaluate the expression below without using a calculator. cos(2 tan-1-³) 3 5

A:

Q: 4. Express sin(x-y-z) in terms of the sum and/or difference cosines and sines of x, y, and z.

A: The trigonometric expression is given byTo determine: The expression in terms of sum or difference…

Q: evaluate tan-1(tan(5pi/6))

A:

Q: Establish the identity. 1 1- sin 0 1 1 + sin 0 -= 2 sec ²0

A: To prove

Q: Use a double-angle identity to find the exact value of the given expression. 1-2 sin 2 8

A:

Q: An equation of an ellipse is given. 9x² + 25y² - 50y = 200 (a) Find the center, vertices, and foci…

A: An equation of an ellipse is given9x2+25y2−50y=2009x2+25(y2−2y+1)=2259x2+25(y−1)2=225x225+(y−1)29=1

Q: Find the exact value of the following under the given conditions: cos (a + b) tan(a+ß) sin(a+ß) 3 8…

A: Signs of trigonometric functions according to quadrant of unit circle.

Q: The blade on a typical table saw rotates at 3700 revolutions per minute. Calculate the linear…

A:

Q: earch For the Questions below use the following directions: Determine which type of conic the…

A: We determine which type of conic the equation represents:6)  3x²+12x+3y²=0

Q: Solve for x in the interval [0,27]. Make any necessary substitutions using identities. Keep answers…

A: The given equation is,Substitute

Q: Use a cosine sum or difference identity to find the exact value. 5π 12 cos

A: The cosine sum and difference identities are given as…

Q: 3. Solve analytically. Hint: Move all terms to the left side (obtain 0 on the right) and combine all…

A:

Q: Use the Law of Sines to find the indicated side x. (Assume a = 382. Round your answer to two decimal…

A: The Sine Rule:

Q: Establish the identity. cos (α - B) cos a cos ß Choose the sequence of steps below that verifies the…

A:

Q: 35° 17- 17- 17- 17 b a 35° 17 17

A:

Q: Calculate the magnitude of vector u =  &lt;3, 4&gt; .

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

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: Write the expression as a single trigonometric function. cos(9x)cos(8x)-sin(9x)sin(8x)

A: The objective of the question is to simplify the given expression into a single trigonometric…