Use mathematical induction to determine which of the following is divisible by 2 for all natural numbers n. O n(7 + n) O n? + 2n O n(n + 1) O n(n - 2) O n? + 7

Q: specification for bolt diameters has an upper limit of 10.42mm and a lower limit of 10.24mm. The…

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Q: Use a calculator to find a decimal approximation for the following trigonometric function.   sin ​…

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Q: 8. Determine the measure of x, to the nearest degree A 52° с 32° в 38° D 58° 14 m 11 m

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 7) Is (x-6) a factor of 3x2-22x+24 Drop coefficients onto top line Show Step to Solve Then drop…

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Q: Which equation is the polar equivalent to the equation y = -V3x? %3D 6. o 0 = %3D o 0 = 2л %3D 3 5л

A: The given equation is y=-3x  Compare with y=mx

Q: steep mountain is inclined 72 degree to the horizontal and rises 3500 ft above the surrounding…

A: Given; mountain is inclined 72° to the horizontal and rises 3500 ft above the surrounding plain

Q: Given the following information about a triangle A=30 degree Side a =5 Side b =8 How many triangle…

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Q: Solve the right triangle​ ABC, where C=90°.   a=75.4 ​yd, b=39.9  yd     The length of c is yd.

A: Topic = Triangle

Q: Name Date Period Worksheet-1 Gifted Geometry Trigonometry "Laws of Sines and Cosine…

A: Sine and cosine laws are used. I have stated the used formulas in the solution

Q: 2csc 0--cos Ocsc 0 + cos 0+2csc 0 a 5x Sa 7a A) 4 3 4 3n B) 0, 4 7x 4 T 37 C) 2 2 3 5x D) 2 3

A: cosθ=0 implies θ= (2n-1)π/2 , n is any integer. cscθ= 1 implies, θ=(4n+1)π/2 , n is any integer.

Q: Use a power-reducing identity to rewrite the following expression below in terms containing only…

A: The given expression,      sin2x cos2x

Q: Consider the expression a c. Suppose this expression can be factored as c = (x – 5)(x + s) What are…

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Q: find the distance across a small lake, a surveyor has taken the measurements shown. Find the…

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Q: Find sin ), cos(), and tan() COS from the given information. 2 sec(x) = 4 270° < x < 360° %3D sin)…

A: We have to find the trignometric ratios given.

Q: determine the integration c Sinx

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Q: Find the solution(s) for theta. 8-V3 = 4+ sin 0 2. O No solution {240, 300} {210, 300, 330} {210,…

A: The detailed solution is given below Thank you The second option is true

Q: From a balloon 927 feet high, the angle of depression to the ranger headquarters is 82 ° 14. How far…

A: This question is related to Trigonometric Ratios, we will solve it using given information.

Q: 19 180

A: Given query is to find the value of trigonometric functions.

Q: 4. Use an appropriate half angle identity to find the exact value of cos15°.

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Q: Determine all the solutions to the equation in the interval [0, 27t): sin 20 cos0- cos 20 sin e +…

A: Given query is to find the solution of the trigonometric expression.

Q: 1. Solve all possible and draw all possible triangles ABC given: a-3,0cm, b-5.5cm, <A-30, Round side…

A: We can use sine rule to find the sides and angles of triangle.

Q: Find the sum of the infinite geometric series 1, 5, Ā 2 4

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Q: For the following, assume that all the given angles are in simplest form, so that if A is in QIV you…

A: Cosine angle in quadrant II is negativeCosine angle in quadrant  I is positive

Q: 15. Find the following EXACT: (a) sin[cos'(2/3)] (b) sin[tan(-6)]

A: We use sin[cos-1(x)]= √(1-x2) and sin[tan-1(x)]=x/√(1+x2)

Q: Find the value of sin(- 105°) using the angle sum formula. sin(- 105°) sin(210° - 315°) %3D…

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Q: Find each of the following based on the information below. Round your answers to four decimal…

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Q: 2. Prove the following sine and cosine values by drawing special right triangles. Provide an…

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Q: Find the solution(s) for theta. -3 cos 을=0

A: We have cos 90° =0cos 270°=0 Also Cosine is a periodic function. Its value repeats after each 360°.

Q: 5. For the given triangle, cos A is equal to which expression? A 4 В 3 D 3 20 cm 15 cm 415 3/4

A: We can solve question-5 as below.

Q: a =n² – 7n + 3 What is the 50th term of the sequence represented by "n for n2 1? Show your work

A: For 50th term put n=50.

Q: Solve the equation in the interval [0°,360°]. Give solutions to the nearest tenth, if necessary? 4…

A: Solving the problem by finding the value of theta.

Q: Solve the right triangle​ ABC, with C=90°.   B=60.0°​, b=100 in

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Q: 2 9.) (3x° -7x- 22x+ 8) ÷ ( 3x–1) 3

A: Given query is to perform the division.

Q: Use the Pythagorean Theorem to find the length of the missing side.Then find the indicated…

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Q: Aiden propped the the product of two irrational numbers is always rational

A: Product of two irrational number may or may not be  rational.

Q: 4. Given the diagram below determine: a) The distance the building is away from the tree, x. 58 00

A: Here we have to find the height of tree and the distance between the building and tree.

Q: (p'- 10p + 20p+ 26) ÷ (p- 5) |

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Q: ) Write sin(2 sin-(3x)) in terms of x only. (i) 6x/1 – 9x² (ii) 6x (iii) V1 – 9x² - (iv) Not listed

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Q: true or false: the amplitude of y=sec x is 1

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Q: asure of angle BCD?

A: In cyclic quadrilateral, sum of two opposite angles is 180°.

Q: Given v = 2i - j and w= 8i + 3j, find the angle between v and w. The angle between v and w is (Do…

A: topic - angle between vectors

Q: No graphing utilities allowed. Find all the solutions of the equation 2 cos? 0 + sin 0 = 1 in the…

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Q: 2. Two Sides and an Angle Opposite One of Them Solve AABC, where B= 75°, a = 8.3 cm, and b = 10.4 cm

A: The sine rule; asinA=bsinB=csinC   Given: B=75°, a=8.3 cm and b=10.4 cm

Q: -4 2 n = (-1, - 2) and D = 4 3. What is D n? Enter your answer as a vector by filling in the boxes.

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Q: plve the following word problems. 1. The angle of elevation to the top of a building is found to be…

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Q: 6. Find the measure of the marked angle, to the nearest degree. a) b) T. 25 cm 34 cm 18 cm 56° W 30…

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Q: (c) Using algebra (not just your sketch or table of values), calculate and label the vertices.…

A: We have to find the common region and vertices.

Q: Cos -15 find the exact value using sum and difference

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Q: 1. Which trigonometric tool can be used to find the length of side AB? 12 cm 43° 68° A A tangent…

A: Given, BC= 12 cm Angle A= 68° Angle C= 43°

Q: Find the exact solutions of the given equation in the interval [0,27). sin 2x = sin x %3D Upload…

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