For planes 2x+ y - z = 2 and 2x + 3y + 5z = = 4, Find the angle between these two planes arcsin A 228 B arccos 57

Q: Show that the graph of the equation r = 2a sin θ, a > 0, is acircle of radius a with center at…

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Q: Use the arc length formula to find the length of the curve y = V2 – x², 0 < x< 1. Check your answer…

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Q: In the accompanying diagram, PÁ is tangent to circle O at A and PBC is a secant. If AB:BC: CA =…

A: Given PA is tangent to circle O at A and PBC is a secant to find angle P

Q: A point is rotating with uniform circular motion on a circle of radius r.Find ω if r = 8 cm and v =…

A: Given linear velocity and radius are: Formula used for angular velocity in rad/sec is:

Q: Return to Module 1. Suppose two chords BB' and CC' of a circle intersect at A. Let the arc BC have…

A: To solve above we need  1.Inscribed angle property of circle 2. Exterior angle property of triangle…

Q: Find the angle in radians between the planes 2x+z=1 and 4y+z=1

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Q: Find the area of the sector formed by the given central angle theta in a circle of radius r.…

A: Given that θ=75°,r=10m. First change the angle in radians. θ=75×π180=5π12

Q: Find the arc length of p = 21, 0 = In t, =, 1si5. V5 4V5 2V5 3/5

A: There are two ways to spherical polar coordinates, first confirm the notation uses... Although i…

Q: In circle T with the measure of minor arc SU= 98°, find mZSVU. T V U S

A: Central angle = 2× inscribed angle, on same arc.

Q: 15. In the figure, OCTD is a sector of a circle which touches AB at T. Given that AB 20 cm and BO =…

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Q: Consider circle H below. Y Part A: If XH = 10 feet and m XỲ 100°, then determine the arc length of…

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Q: Use the arc length formula, L = √√√1 + (f' (x))² dæ, to find the length of y = 2ª + 1 on [1, 5].…

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Q: Use the arc length formula to find the length of the line between the points indicated. Verify your…

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Q: The area of circle H is 90.25 cm2, The sector area contained by ZGHJ and GJ is 31.4m cm2. What is…

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Q: In ASTU with a right angle at T, the tangent ratio can be used to determine the length of TU as a)…

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Q: In the given figure , the common tangents AB and CD to two circles with centres O and O' intersect…

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Q: Use the arc length formula to find the length of the curve y = 5x - 4, -1 sx< 3. Check your answer…

A: Given curve is y=5x-4.

Q: Which projection of (cost, cos 2t,sin t) is a circle?

A: Which projection of (cost, cos 2t,sin t) is a circle?

Q: Circle A and B are internally tangent circles with CD as common tangent, If AC = 28, BC = 25, and CD…

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Q: 2. ABC is tangent to the circle O at B; DB and EB are chords, BF is a diameter. If BE = 100° andZABD…

A: Sum of angels in a triangle is 180°.

Q: In the following sketch, AE and BF are tangents to the circle at A and B respectively. AE || CD and…

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Q: In the accompanying diagram, secant AB intersects circle O at D, secant AC intersects circle O at E,…

A: Solve

Q: Use the arc length formula to find the length of the curve y = 3x - 1, -1 s xs 3. Check your answer…

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Q: Use the arc length formula to find the length of the line segment y = 2-4x, 0<x<2. The length of the…

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Q: Use the arc length formula to find the length of the line between the points indicated. Verify your…

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Q: In the diagram below, tangent DA and secant DBC are drawn to circle 0 from external point D, such…

A: To determine: The angle ∠D and state. Given: The values are AC⏜≅BC⏜ and mBC⏜=152°. Concept used: The…

Q: Find the area of the sector formed by the given central angle  theta in a circle of radius r.…

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Q: 1) Circle P is tangent to each side of ABCD.AB=20, BC=11, and DC=14. Let AQ=x. Find AD.* B P.

A: Theorem  Pair of Tangents are equal in length from external point to a circle

Q: find the total length of the circle r = 2a cos 0 for a > 0?

A: Recall the below fact.

Q: 6. If AF = 23in find the length of arc EC and the area of that sector. %3D 87 148 F E D B.

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Q: se the arc length formula to find the length of the line between the points indicated. Verify your…

A: The given equation of line is, 4x-6y+8=0......................(1) we have to calculate the arc…

Q: Find the area of the sector formed by the given central angle  theta in a circle of radius r.…

A: Given: θ=2π5, r=3m

Q: Use the arc length formula to verify that the circumference of the circler = ƒ(θ) = 1, for 0 ≤ θ ≤…

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Q: In AWXY, the measure of ZY=90°, XW = 53, YX = 28, and WY = 45. What is the %3D value of the cosine…

A: I am going to solve the given problem by using some simple geometry to get the required result.

Q: Give the length of the missing leg. cos(A) %3D cot(A) %3D

A: We can use Pythagoras theorem to find the value of Missing leg.   Pythagoras Theorem  In a right…

Q: Find the area of the sector formed by the given central angle  theta in a circle of radius r.…

A: We have to find the area of the sector formed  by the given central angle θ in a circle of radius r:…

Q: The circles r (V3/2, 7/3). Show that their tangents are perpendicular there. V3 cos 0 and r = sin 0…

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Q: Find the length of the portion of the arc given by r(t) = (e 'cos t) i + (e 'sin t) j + 5e ' k, -In…

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Q: Find the length of the arc formed by x2 = 10y from point A to point B, where A (0,0) and B = (100,…

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Q: Find the length of the portion of the arc given by r(t) = (e 'cos t) i + (e 'sin t) j + 7e'k, -In 2…

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Q: What is the arc measure of minor arc BC in degrees? (20y – 11)° (4y + 6)° (7y-7)

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Q: In circle T with mZSTU = 124°, find the %3D angle measure of minor arc SU . S T U Answer: m SU=

A: The angle measure of minor arc SU is,  m(angle STU) = 124° So, the required angle is, 124°

Q: Find the arc length L of the graph of r(?). r(t) = f i+tj+Vor k, 2<156 L =

A: Pls follow step 2nd .

Q: Use the arc length formula to find the length of the curve y = V 2 - x2, 0 s x < 1. Check your…

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Q: a) Because point Q is their common R V center, these circles are known as (W circles. b) If RQ the…

A: a) We know that the circle having same center but different radii are called as concentric circle.…

Q: Use the arc length formula to find the length of the curve y = 2x – 5, –3 < x < 2. Check your answer…

A: I have appended the formula used in the solution part

Q: Find the angle (in radian) between the planes 2x + 2y Z = 3 and x + 2y + Z = z = 2.

A: Consider the two planes: 2x + 2y - z =3  and  x + 2y + z =2. We have to find the angle between the…

Q: 1.) In the diagram to the right of circle A, FB and FC are tangent to circle A at B and C…

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Q: 28 In the diagram below of circle O, secant ABC and tangent AD are drawn. 12.5 C

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Q: The arc length of the the curve y=V a-x -asxsa is equal to Select one: О а. па? O b. 2 Tta О с. па O…

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.