A child returns a five-volume set of books to a bookshelf. The child is not able to read, and so cannot distinguish one volume from another. What is the probability that the child shelves the books in the correct order? Enter your answer as a fraction, like this: 1/2

Q: 4-6 in paper

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Q: Find the arclength using the information given. 1. Radius is 12; central angle is 120°

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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: 1 y = 2TC sin 0 3 1 cos Oy = 2. TC 2. 6

A: Red graph is for sin function  Green graph is for cosine function

Q: A. Simplify each of the following expressions. 1. sin?xcotxcscx cotx(sinx+tan.x) cscx+cotxr 3.…

A: 2. cotx sinx+tanxcscx+cotx4. 1-tan2x1+tan2x+1

Q: Find the exact value of each of the remaining trigonometric functions of 0. 4 cos 0 = - e in…

A: Given query is to find the trigonometric functions when cosine is given.

Q: 2. Solve the triangle formed by the point where the two arrows intersect, given that c=12 2n LA =…

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Q: Given parametric equations a = 2t and y = t² + 3, eliminate the parameter and write the resulting…

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Q: Find the 25th partial sum of the arithmetic sequence 75, 70, 65, 60,...,

A: Let's find.

Q: 2 1 log3 a 20 +3-log3 a² 93 4

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Q: When you solve the equation: sin(theta)cos(theta) − 7 sin(theta) = 0 , why is the answer…

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

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Q: 114 O 57° O 47° O 66° O 33°

A: Topic:- Geometry

Q: [2 1 3 1 0 .2 0 -21

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Q: Consider the following. u = (6, 7), v = (2, 1) (a) Find u V. U V = (b) Find the angle between u and…

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Q: 24 in. 14 in. 6 in. - 54 in.

A: Given query is to find the area of the Design.

Q: (a) The solutions of the trigonometric equation tan(30) +1 = 0 are: 37 kT ; + ka (i) + kT (ii) 4…

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Q: The height of a tree that is leaning towards the sun at an angle of 150 is to be measured. A…

A: Sine law: The rule of sines is the ratio of side length to the sine of the opposite angle. It holds…

Q: Verify the identity. sin t = sin ttan t cos t Which of the following four statements establishes the…

A: Given query is to verify the identity.

Q: Part B-Application continues 4. Use the Cosine Law to find x. (3 marks) 20.9 m 71° 28.2 m

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Q: B 60° C 11 A

A: Given the query is to find the value x.

Q: Assume that cos\theta =-(1)/(3) and \pi <\theta <(3\pi )/(2),  find the exact value of sin2\theta

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

A: Topic:- trigonometry ratios in right angle triangle

Q: B A b For the triangle with angle measures a, 3, and for angles A, B, and C respectively, the area…

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Q: 3) Determine the length of side VW, rounding your answer to the nearest metre. V. 470 m 265 m 85 W…

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Q: Given sin(a) = (with <a< T) and cos(8) = (with 0 <B < ), find sin(a + B). Give an exact answer as a…

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Q: Systems of Linear Equations - Mixture Problem Roasted African coffee beans are mixed together with…

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Q: Factor; then use fundamental identities to simplify the expression below and determine which of the…

A: Please see the answer below.

Q: What is TU in circle D? 1 5.1 D 3.4 O 3.4 O 5.1 O 7.6 - Previous Quiz s +

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Q: Find Zy and 12 45 12 Zy 55 45 24 12V2

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Q: n(A) = 11, n(B) = 22, n(S) = 144 Figure Description A Venn diagram has three overlapping circles A,…

A: n(A) = 11, n(B) = 22, n(S) = 144 Figure Description A Venn diagram has three overlapping circles A,…

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: C A If m/C = 90° while m/A=a and m/B = 3 in AABC, an expression representing the sum ( a+b sin a…

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

A: The given expression,      sin2x cos2x

Q: 4) Using Rational Root Theorem Given 2x-x +X-2 List all possible rational roots. What are the…

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Q: From the top of a spire of height 50 ft, the angles of depression of two cars on a straight road at…

A: Form the right triangle and use Trigonometric ratios.

Q: 1. Which of the following statement is correct? 60° 4 A. x=8 B. sin60°=y/x C. sin30°=1/x D.…

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Q: nd all solutions of the trigonometric equation tan(20) sin(0)+sin(0) = 0.

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Q: Find sin 0. 4. O in quadrant IV 9' cot e = sin 0 = (Simplify your answer, including any radicals.…

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Q: Express the given sum or difference as a product of sines and/or cosines. cos x+ cos 3x cos x+ cos…

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Q: Write the expression as the sine, cosine, or tangent of an angle. Then find the exact value of the…

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Q: Solve the equation for the exact solutions over the interval [0,21). 2 sin x= sinx 'Xx%3D O A. 6' 6…

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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: Please

A:

Q: 3. 4)

A: The figure of the right angle triangle is  To evaluate: The values of six trigonometric functions…

Q: 27. 9Co

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Q: A ladder leans against the side of a house. The angle of elevation of the ladder is 69°, and the top…

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Q: In circle Q, measure of arc JK = 180° and measure of arc LM = 116°. What is measure of angle 1? 06 O…

A: we have to find out the measure of angle 1

Q: 7) Is (x-2) a factor of x4 – x³ + 2x – 2 Drop coefficients onto top line Show Step to Solve Set x- 2…

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Q: Assume that cos\theta =-(1)/(3) and \pi <\theta <(3\pi )/(2),  find the exact value of cos(\theta…

A: As we know that cosa-b=cos(a)cos(b)+sin(a)sin(b)