The area of a sector of a circle with a central angle of  5π4  radians is  14 mm2 . Find the radius of the circle.

Q: Q6. The graph of polynomial function is given below. a) Find the zeros -3,942 b) Discuss the…

A: given graph of function f(x)

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A: Given that evalaute sinh(1+j).Evaluating the above.

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A: Consider the equation

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Q: What are the unknown side lengths, to one decimal place? a) b) 71 8.4 cm W O 9.2 in. 18° Z y

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Q: PROOF =- - bc (1 – cos A) = - Use the Law of Cosines to prove that a-b+c a+b-c 2 2

A: By using the Law of Cosines to prove that,

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A: Given Indefinite Integral is as follows As we know that

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A: To verify that the equation is an identity.

Q: Problems 7. Create a process (series of steps) that could be used to solve for the area of a…

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Q: 5. Find the length of the segment on the smaller indicated by the blue bolder line. 25°

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A: Alternate Interior Angle Theorem:- When two parallel lines are cut by a transversal, the resulting…

Q: Two cities are 1800 km apart and lie on the same north-south line. The latitude of the northernmost…

A: Two cities are 1800 km apart and lie on the same north-south line. The latitude of the northernmost…

Q: 3) What measure of the angle formed by the vectors u = (9,5,-3) and v = (-8,0,3)? Give your answer…

A: To find the measure of the angle formed by the vectors .

Q: Determine the exact ratio of sin 11π 12

A: Consider the ratioFormula

Q: Let a = (6, −3, −5) and b = (7, -2, 10) be vectors. (A) Find the scalar projection of b onto a.…

A: Let  be vectors.(A) To find the scalar projection of .(B) To decompose the vector  into a component…

Q: 16. A pilot looks down and sees the runway approaching. The angle between the plane's diagonal and…

A: A pilot looks down and sees the runway approaching. The angle between the plane's diagonal and…

Q: Solve the right triangle. X 16/15 30⁰ WX= WY = mZX = Y W Write your answers in simplified,…

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Q: Determine whether the series is convergent or divergent. 4² ²-4k+7 convergent divergent If it is…

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Q: Graph the function for -π≤theta≤2π. How is the graph related to the graph of y=tan theta? g(theta)=2…

A: The objective of this question is to graph the function g(theta) = 2 * tan(theta) for -π

Q: Question An airplane is flying on a bearing of 75 at 550 mph. A wind is blowing with a bearing 105°…

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Q: 17.6 50°

A: Let the h be the height of the cactus The figure

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A: The coordinates  (−0.45,0.89)are lying on a unit circle Here we have to find which option defines…

Q: Convert the Cartesian coordinate (6,-5) to polar coordinates, 0 ≤ 0 0 Enter exact value. 0= > Next…

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Q: You are a secret agent trapped at the top of a tall building. To escape, you decide to slide down a…

A: The objective of this question is to find the length of the zip line. We can use trigonometry to…

Q: A plane flies 110 miles per hour for 1 hour on a bearing of 040. From that point, it then turns and…

A: The figure

Q: Find the average value fave of the function fon the given interval. f(x)=√x, [0,4] fave 0

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Q: Three different forces act on an object. They are: F₁= F₂= F3 = Find the net force Fnet on the…

A: Consider the forces

Q: 6²x5² x5 dx

A: I=∫01x5xdxUsing the Power Rule∫xndx=xn+1n+1+C∫axdx=axln⁡a+C

Q: Consider the given function and the given interval. f(x) = (x-3)², [2,5] (a) Find the average value…

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Q: Solve this triangle. Offer the exact solution for the missing angle, but round your answers for each…

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Q: Find all solutions of the trigonometric equation in terms of integer k and the solutions in a single…

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Q: (a) A car drives 300 km from city A to city B on a bearing of 065°. How far north/south has the car…

A: Given:distance car travelled = 300 kmbearing of car= 065°To find:distance travelled by car in…

Q: The coordinates of a point P on the terminal arm of an angle are shown. What are the exact…

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Q: Evaluate the integral. (Remember the constant of integration.) 1. X X+7 + 8x + 20 dx

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Q: Write -4+5i in polar form. Express in degrees.

A: z=−4+5iUsing polar coordinatesx=rcos⁡θy=rsin⁡θx2+y2=r2

Q: . From the top of a bridge that is 50 m high, two boats can be seenanchored in a marina. One boat is…

A: The objective of this question is to find the distance between two boats anchored in a marina, as…

Q: A company safety committee has recommended that a floodlight be mounted in a parking lot so as to…

A: The objective of this question is to find the angle of depression of the light from the floodlight…

Q: Determine the exact value of 2 cos² (75⁰) – 1

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Q: Find all solutions of the equation cos x sinx - 2 cos x = 0. The answer is A + Bkπ where k is any…

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Q: Brynn installs soffit, fascia, and eavestrough. Safety regulations state that the base of a ladder…

A: (a.)Given that the safety regulation state that the base of the lader must be at least  away from…

Q: Establish the identity. tax X (csc X-sin X)=cos X

A: The trigonometry equation is:Some useful formulas:

Q: 1-10. Resolve the 170-lb force of Fig. P1-10 into two components, one along AB and the other paral-…

A: Sine Rule of triangle:The ratio of a triangle's sides and their corresponding sine angles is defined…

Q: his is wrong. Please fix

A: The equation is given byTo verify: the equation is an identity.The formula used:

Q: Find the values of the trigonometric functions from the given information. Give exact answers with…

A: Given .To find .

Q: When I place the law of cosines formula in for C=, it states that I have to have an argument in the…

A: The answer in above question is C= A2+B2+2ABcosθ

Q: (a)Convert  5π3  radians to degree measure. ° (b)Convert  −315°  to radian measure in…

A: The objective of the question is to convert the given radian measure to degree measure and vice…