A pendulum swings through an angle of 4º each second.  If the pendulum is 17 m in length and the complete swing from right to left takes 2 seconds, what is the area covered by each complete swing?  Round to the nearest tenth of a square meter.

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A: The objective of this question is to determine whether the palm tree is leaning and if so, by how…

Q: Simplify. (w2 /  7v3)2 Write your answer without parentheses.

A: The objective of the question is to simplify the given expression (w^2 / 7v^3)^2 and write the…

Q: + Verify the identity. cos (a-ẞ) =1+ tan a tan B cos a cos ẞ Write the left side numerator in terms…

A: Step 1:Step 2:Reciprocal Identity(Option B). This verifies the given identity. I hope it is helpful.…

Q: Find the area of the given triangle. Round your answer to the nearest tenth. Do not round any…

A: In the given, we have a right triangle.For the area of right triangle the formula given…

Q: ת %e Use the dot product to determine whether v and w are orthogonal. v=-i-j,w=i+j Select the…

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Q: Solve the equation  3 square roots 3 + 6cosx =0 . Write the numbers using integers or simplified…

A: The objective of the question is to find the solution for the given trigonometric equation 3√3 +…

Q: A swimming pool has a depth of 8ft at the shallow end and 16ft at the deep end. The bottom of the…

A: The objective of this question is to find the length of the swimming pool. The pool has a depth of…

Q: Express as a product. 2 1-2 cos a

A: 1 − 2cos2(α) can be expressed as −cos(2α).Explanation:To express 1−2cos2(α) as a product, you can…

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Q: Given AABC with the following measurements: a 18 mm, b = 24 mm, ZC = 51° find side c (round your…

A: Let's draw the figure:We will use cosine law:Side a and b are known to be 18 and 24. the angle is 51…

Q: A plane leaves airport A and travels 580 miles to airport B on a bearing of N35°E. The plane later…

A: From airport A to B, the distance is 580 miles with bearing N35oE.From airport B to C, the distance…

Q: what is the formula for the angle A

A: The angle A in the given diagram can be calculated using the dot product formula between two…

Q: Looking up, Christine sees two hot air balloons in the sky as shown. She determines that the lower…

A: Step 1:

Q: Use the relationship given in the right triangle and the inverse sine, inverse cosine, and inverse…

A: The objective of the question is to express the angle θ in terms of x using the inverse sine,…

Q: Let v be the vector from initial point P₁ to terminal point P2. Write v in terms of i and j. P₁ =…

A: Step 1: Step 2: Step 3: Step 4:

Q: A negative angle greater than  −360° that is coterminal to 94° is    ° .

A: The objective of this question is to find a negative angle that is coterminal to 94° and greater…

Q: Solve the right triangle. Round your answers to the nearest tenth. 28 49° b -0 0-9 =0 X

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Q: Two airplanes leave an airport at the same time. An hour later, the planes are 203 km apart. If one…

A: Approach to solving the question:Please see attached photos for detailed solutions. Thank you.…

Q: Find u + v - 3u. u = (7,-2) and v= v = (-6,8) u + v-3u =

A: To find u + v - 3u, we first need to subtract 3 times u from the sum of u and v.  Given u=⟨7,−2⟩…

Q: Find the length of the arc, s, on a circle of radius r intercepted by a central angle 0. Express the…

A: To find the length of the arc, s, on a circle of radius r intercepted by a central angle θ, you can…

Q: A sound wave has frequency 50 Hz (i.e. it has wavelength (period) = 0.02 seconds). Within each beat,…

A: Step 1:Frequency is 50HzTime period is 0.02sHighest sound intensity is 100dBLowest intensity is…

Q: As shown in the figure below, Linda is standing 34 feet from the base of a leaning tree. The length…

A: From the given information we can form this triangle: where AC is the length of the tree and BC is…

Q: Find the area of the given triangle. Round your answer to the nearest tenth. Do not round any…

A: Step 1: Step 2: Step 3:

Q: Find u + v. u (6,3) and v = (-3,-4) u+v = (> (Simplify your answers.)

A: Step 1: u=⟨6,−3⟩v=⟨−3,−4⟩u+v=⟨6,−3⟩+⟨−3,−4⟩     =⟨(6+(−3)),((−3)+(−4))⟩     =⟨3,−7⟩

Q: 2. A monument is planned in the Commercial Zones. The monument's shadow is 25 meters long. If a…

A: Solution 2. To determine the height of the monument, we can use trigonometry. Let's consider the…

Q: If cos t = -1/3, and t is in the 3rd quadrant, find sin t, sec t, csc t, tan t, cot t. (Please…

A: Step 1:Step 2:

Q: You sight a rock climber on a cliff at 32° angle of elevetion. Your eye level is 6ft above the…

A: Step 1: Explanation for question

Q: Eric and Kira are standing on a riverbank, 230 meters apart, at points A and B respectively. (See…

A: To solve this problem, we can use trigonometry, specifically the law of sines.Let's denote:d as the…

Q: Find the exact value of the expression by using appropriate identities. sin 82° cos 52° - cos 82°…

A: Given:sin(82°)cos(52°) - cos(82°)sin(52°) let:A = 82°B = 52° Solution:Substitute the…

Q: What is the length of line AC? (round to two decimal places) Line AC: = C A 45° B 320 ft feet

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Here's another example for you and your classmates cos² (x)-sin² (a) Simplify the expression cos²…

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Q: e the triangle. For the sides, give an expres B C 101° a A 42° b=40 C

A: Step 1: From the figure, let's write the data:∠A=42∘,∠B=101∘,b=40,we have to find exact and…

Q: √2 cot 0 = cos 0<0 6 Use the given information to find the exact function value. Simplify your…

A: Step 1: Step 2: Step 3: Step 4:

Q: Consider a triangle ABC like the one below. Suppose that a=74, b=42, and A= 69°. (The figure is not…

A: Step 1:​a=74,b=42, and A=69∘.Using the sine…

Q: A boat is anchored offshore. From the bow of the boat,  39ft  of anchor line is out with  4ft…

A: The objective of this question is to find the horizontal distance between the anchor and the bow of…

Q: Group Problem The diagonals of a parallelogram are 14m and 16m, and intersect at a 60°. Find the…

A: For a parallelogram the two opposite sides are equal.The angles formed by the diagonals of the…

Q: Free license (non-professional use). Start trial license or buy. Exam 5-7.6, 7.7, 10.5 x + ⭑ 目…

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Q: Use identities to find values of the sine and cosine functions of the function for the angle…

A: For any query with the solution, please ask in the comment box.

Q: Find intervals of theta where f is decreasing for r = -4cos(3theta)

A: Approach to solving the question:Let's find the intervals of θ where the function f(θ) is decreasing…

Q: Solve the triangle. a 23.5 b 13.4 c=26.7 What is the degree measure of angle A? (Simplify your…

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Q: Give the exact value of the expression without using a calculator. cos sin (2008-1113)

A: Given expression is sin(2cos−1131​). Let θ=cos−1131​   ⟹cos(θ)=131​…

Q: Evaluate sin t, cos t, and tan t for the real number t. Write your answer as a simplified fraction,…

A: The objective of this question is to find the values of the trigonometric functions sin t, cos t,…

Q: Find the area of the given triangle. Round your answer to the nearest tenth. Do not round any…

A: Solution:I hope that this will be helpful in your studies :) if you have time, please leave a rate.…

Q: Use the cosine of a sum and cosine of a difference identities to find cos (s+t) and cos (s-t). COS…

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Q: Solve the right triangle for the unknown sides and angles. Round values to 1decimal place if…

A: Step 1: Step 2: Step 3: Step 4:

Q: A force of 23 lb is required to hold a 68-lb crate on a hill. What angle does the hill make with the…

A: Approach to solving the question:Please see attached photos for the detailed solutions. thank you. .…

Q: A boat is anchored offshore. From the bow of the boat, 39ft of anchor line is out with 4ftof line…

A: The objective of this question is to find the depth of the water where the boat is anchored. We are…

Q: 3 # חי Let v be the vector from initial point P₁ =(-9,-6) to terminal point P₂ = (5,5). Write v in…

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Q: What restrictions must be placed on y in this problem? x 12

A: C. The core claim of the question is to identify the restrictions that must be placed on y in the…

Q: Solve the trigonometric equation. Display ALL answer in radians. Show step by step solution (sin x)…

A: Some of the trigonometric formulas are........... (1) ....... (2)