Find the value of a in the right-angled triangles: a) b) 2,1 1,5 9,3

Q: Convert (4, -3) to polar coordinates. Always choose 0 <= theta <= 2pi

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Q: Points A and B are separated by a lake. To find the distance between them, a surveyor locates a…

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Q: 1. sin(csc0-sin) = cos²0 2. tan² (1+cot²0)= sec 0

A: Given :1) sinθ(cscθ-sinθ)=cos2θ2)tan2θ(1+cot2θ)=sec2θ   To verify : Identities given

Q: 15 Solve For O6O+2M

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Q: Convert the Cartesian coordinate (2,6) to polar coordinates, 0≤ 0 < 2TT r = Enter exact value. 0-…

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Q: Find the magnitude and direction angle of the vector. (-3,1) What is the magnitude of the vector…

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Q: Find x and y so that the following equation is true. 8 + 5i = 10x − 15yi

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Q: QUESTION 19 Find the component form of v given its magnitude and the angle it makes with the…

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Q: Given rhat deri ve formula cos (A+B) = COSA COSB COSCA -B) Sina sinB, for Sin (A+B) (Henr:…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: ); asymptotes

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Q: Measures

A: answer is in next step

Q: Chase wants to find out how much water a rectangular pool can hold. Which formula should he use?…

A: A rectangular pool will be made a cuboid  So volume of cuboid =(length) (width) (height) So, Volume…

Q: What is the common ratio of the sequence 832, 208, 52..? A -4 C D 4

A: Using formula of common ratio,

Q: Problem 6: For (r, 0), polar coordinate, (3, 3), (1) plot the point, (2) give an equivalent polar…

A: Explained below

Q: Write the complex number in trigonometric form r(cos 0 + i sin 0), with 0 in the interval [0°,360°).…

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Q: Topic: Sum and Difference, Double Angle, Half Angle Identities Direction: Verify the following…

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Q: 4. A 54 -ft ladder leans against a building so that the angle between the ground and the ladder is…

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Q: ) What other length can you calculate in order to solve for x?   2)  Solve for that other length 3)…

A: We have to solve the triangle .

Q: Simplify the lefthandside so that LHS = RHS: sin(a) 1+ cos(a) 1- cos(a) sin(a) 2 tan(a) 2 tan(a) ||

A: Here is the solution:

Q: QUESTION 5 Select a right triangle corresponding to the trigonometric function of the acute angle 8.…

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Q: 7) Describe the number and type solutions for the following: x² + 7x + 13 Slide Red circle in front…

A: second  degree equation  ax2+bx+c=0 has 1)  Two distinct real solution   if   b2-4ac&gt;0 2)  real…

Q: Find the 7th term of the geometric sequence: {32a(b), 16a(3b), 8a(- 96), 4a( - 27b), ...} 07…

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Q: M) solve Por O50<2M -2COS &sine t cos o = VZCOS O t Cos 0 %3D

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Q: You invest $500 into an account that collects 1% interest each month. If you add an addi- tional $50…

A: Solution: If you invest $ 500 in an account you will collect at the end the monthly rate of interest…

Q: What is the y-intercept of y=sec x? Select the correct choice below and, if necessary, fill in the…

A: y=secxFor y intercept substitute x=0 ⇒y=sec(0)     y=1

Q: Determine the discriminant of the quadratic equation. Use the value of the discriminant to determine…

A: The equation given is;4x2-8x+4=0comparing with quadratic equation form:ax2+bx+c=0a=4, b=-8,…

Q: 14) Solve For osO62M -3=-3C5C0+cot? o

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Q: = a "n-1 What is the 150th term of "n a _ _+2;fa =11, A 151 B 152 309 D D 311

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Q: Find the infinite sum, if it exists for this series: -2 + (0.5) + (– 0.125) + · · ..

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Q: Rewrite the following angle in degree measure. (Round your answer to three decimal places.) 3 T 64

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Q: A street light is at the top of a pole that has a height of 15 ft. A woman 5 ft tall walks away from…

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Q: Solve the equation using Gaus Jordan Method Given: 2x+y-z=1 5x+2y+2z=-4 3x+y+z=5

A: Here we have to use the Gauss Jordan method.

Q: Solve the system of equations by converting to a matrix equation and using the inverse of the…

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Q: What is the product of 3√2cis (2) and 2√5cis (4) ? Enter your answer by filling in the boxes. Enter…

A: We have to find out the value

Q: Determine which point in the figure, P, Q, R, or S, has the given polar coordinates. (-4, 57)…

A: We know that in polar co-ordinate system, any point can be represented as (r,θ), where r is polar…

Q: Given a = 4.6, b = 7.1 and c = 9.3, use HERON'S AREA FORMULA to fine the area of ABC. Round your…

A: Given query is to find the are of the triangle.

Q: Convert the rectangular coordinates to polar coordinates with r> 0 and 0 ≤ 0 < 2. (√32, √32) (r, 8)…

A: (x, y) =(32, 32)r=x2+y2 =32+32r =8θ= tan-1yx    = tan-13232   = tan-11θ=π4

Q: 2) Divide a polynomial by a monomial Show work to Solve 28x6 - 36x + 20x² 4x2 Solve by Long Division…

A: Solve the given

Q: A man pushes a lawn mower with a force of 32 lb exerted at an angle of 30° to the ground. Find the…

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Q: ind the exact value of sin 0 if csc 0= * and 0 <0<90. %3D

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Q: Find the 8th term of the geometric sequence: (1024a(b), 512a(3b), 256a(-96), 128a(276), ...} a8 s I

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Q: Find the amplitude, period, and horizontal shift of the function. y=sin(x + 4x) amplitude H period…

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Q: whether the transverse axis is horizontal 37. 81y² - x² + 486y - 8x + 632 = 0

A: Given equation of hyperbola,…

Q: A piece of candy is made in the shape of a solid hemisphere. The radius of the hemisphere is 6 mm.…

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Q: What is the center of the polar coordinate grid called?

A: Given a polar coordinate grid.

Q: If possible, also provide the alternative solutions to solve the problems aside form the generally…

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Q: 1. sin x csc x = 1 2. tan x csc x + cotx sin x = sec x + cos x Pythagorean Identities 3. cos? x (1 +…

A: 1.csc x=1sin xL.H.S.=sin x  csc x           =sin x 1sin x            =1 =R.H.S.sin x csc x=12.L.H.S.…

Q: If secA = 2 then A = 120⁰ or A = 240 Explain why, using diagrams of the appropriate special triangle…

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Q: Question 6 A vector with magnitude 5 points in a direction 310 degrees counterclockwise from the…

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Q: 16)Solve Por OsO<27 -2CscO-3csc20= VI Csc* 0-3 csc=0

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