In a class of 27 learners, what is the probability that at least two learners share the sam birthday? Show your work

Q: Given the function y = 4 cos(2x) + 6, where y is measured in metres and x is measured in minutes: a)…

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Q: Find the product z1z2 in standard form. (Simplify your answer completely.) z1 = 1 + i, z2 = 8i Write…

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Q: 15. Find the two square roots of the following and write your answer in standard form. 2+ 2iv3

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Q: 1:46:29 Consider the following. x = vt y = 5 - t (a) Sketch the curve represented by the parametric…

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Q: E) Find Possible Positive, Negative or Imaginary Zeros. f(x) = -2x³ + x² - 8x + 3 %3D Count the…

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Q: Find the area of each 1. A triangular field is 450 m on one side and 570 m on the other side. These…

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Q: Time Remaining: 3:58:25 | Question 19 Consider a triangle ABC like the one below. Suppose that a=48,…

A: We have to find all angle of triangle

Q: Calculate x + y. Ilmage 12 41 9 12

A: As we know from the Pythagorean theorem: c2=a2+b2 Where a is the perpendicular, b is the base and c…

Q: Compound Interest Chart Balance that Starting Interest Ending Year Interest is | = Prt Balance…

A: We need to fill in the table.

Q: Solve each triangle- 5) B 41° 28 m 64

A: Since we are given with the multiple number of question and answered according to the guideline

Q: Express the circle specified by a = 2 cos(0) y = 1+ 2 sin(0) in Cartesian coordinates and find the…

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Q: Activity 7: My Part Find the missing part of a right triangle using the trigonometric ratios. Show…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: how did you get cos2x/ 1-cos2x = 3

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Q: Find three cube roots for the following complex number. Leave your answers in trigonometric form.…

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Q: perimeter of the parallelogram ABCD. (14 5x - 18

A: We are asked to find perimeter of the parallelogram

Q: 8 cm

A: To solve the following problem on circle

Q: Solve the ABC Triangle a = 77.8m c = 43.8m B = 16.7 degrees Find A, C, b

A: The Cosine rule: a2=b2+c2-2bc cosAb2=a2+c2-2ac cosBc2=a2+b2-2ab cosC   Given: a=77.8 m, c=43.8m,…

Q: a. Which one of the following choices is equal to sin? y – cos² y?

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Q: For the following equation, state the transformations in words, and determine the maximum value,…

A: Given f(θ)=-3cos(θ+π4)+2We know that The standard form of the cosine function is…

Q: What is true about corresponding angles? O Their angles sum up to 270 degrees. Their angles sum up…

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Q: The first term of an arithmetic sequence is 8, and the tenth term is 4. (a) Find the common…

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Q: The solution is incorrect

A: To solve the following problem on triangles

Q: 7) Solve the triangle. Show all work. Round final answers to to work with more precise decimals as…

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

Q: 1) Using Rational Root Theorem and Descartes' Rule of signs. Types of Positive Negative ,3 Find all…

A: The solution is given below

Q: x^2 + y^2=4 Write the equation in polar coordinates. Then isolate the variable r when possible.

A: To write the given equation in polar form

Q: ACTIVITY 2. SOLVE FOR THE UNKNOWN. Direction: Apply the Hinge Theorem and its Converse to find the…

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Q: A skateboarder wishes to build a jump ramp that is inclined at a 19 angle and that has a maximum…

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Q: 18- 16

A: answer is in next step

Q: Make a table of ordered pairs using values of e that are multiples of 45°. r = 8 cos e (r, 0) 1) 0°…

A: Given:      r=8 cosθ  when θ=0          r=8 cos0          r=8·1          r=8 when θ=45°         r=8…

Q: What ordered pair is a solution to the following system of equations? x + y = 12 %3D xy = 35 %3D

A: Follow the procedure given below.

Q: Glven the figure below, find the values of x and z. (7x- 3). 74°

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Q: Triangle Inequality Theorem: For each of the following, tell whether it is possible to form a…

A: We have to tell whether it is possible to from triangle.

Q: Convert to polar coordinates with r,≥0 and 0≤theta<2

A: Given query is to find the the equivalent polar coordinates.

Q: 2/2+2 2. 2.

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Q: Write z1 and z2 in polar form. (Express 0 in radians. Let 0 < 0 < 2a.) Z1 = 2/3 – 2i, z2 = -1 + i

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

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Q: 5) Find AC 33 m 58 93

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 1. Complete the table. For each positive angle in the table, add the corresponding point and the…

A: We need to fill in the table.

Q: The

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Q: Factor 10) Solve x?- 11x - 80 = 0 Drop the variables into the parentheses use sign chart. Name…

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Q: A car wheel has a 20-inch radius. Through what angle does the wheel turn when the car rolls forward…

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Q: Make a table of ordered pairs using values of e that are multiples of 45°. r = sin(20) (r, 0) 0° 45°…

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Q: 6) Using Rational Root Theorem and Descartes' Rule of signs. Find all roots of f(x)=2x' - x'+ 2x -…

A: Given

Q: Given that sin u = 1 /3 and cos v = −3/5 and that u and v are both  in the second quadrant.  Find…

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Q: solve triangle ABC.  A=46 degrees  B= 54 degrees a=6

A: solve triangle ABC.

Q: Exercise 5.4 1. sin 0=0,5 Cos 0= 0,922 c) tan 0= 2,8765 1,9 d) sin 0 = 2,6 2 tan 0 = 1 202 ) 3 cos 0…

A: Just use inverse trigonometry

Q: one windshield wiper is 50 units long and is affixed to swing arm which is 80 units long from pivot…

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Q: 11. Evaluate. cos (tan-1+ sin-1)

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Q: quat sin-'(2x) + cos-'(3x) = 3

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Q: From a point 100 feet from the base of a tree on level ground the angle of inclination to the top of…

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