1) Find mLRST if MLJST = 94°, m/RSJ = 6x + 2, and m/RST = 20x – 2. R B) 124° D) 138° A) 7° C) 1°

Q: In AXYZ, the measure of ZZ=90°, ZY = 12, YX = 13, and XZ = 5. What is the value of the cosine of ZY…

A: In ∆XYZ, the measure of ∠Z=90°, ZY=12, YX=13 and XZ=5.

Q: PQRS.TUVW cube has a 10cm rib length, the angle between PV and the PQRS field is θ, the COS value θ…

A:

Q: In the figure below, AB is tangent to circle O at point A, secant BD intersects circle O at points C…

A: We have to find the angle

Q: 2- In order to read his book, Stephen uses a pair of reading glasses. When he bolds the book at a…

A: Solution

Q: A cross country Skier skis 1.00 km north and then 2.00 km east on horizontal snowfield. How far and…

A:

Q: Use Figure to find all angles between 0 and 2π satisfying the given condition. cosθ = 1/2

A:

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

A: If a tangent and a secant are drawn to a circle from an exterior point to the circle, then the angle…

Q: Convert to polor coordinates with  r ≥ 0 and 0 ≤ theta < 2pi (4,0)  (r, theta) = ?

A: Polar coordinates (r, θ)            where r ≥ 0 and 0 ≤ theta &lt; 2pi Cartesian coordinates (x, y)…

Q: In AIJK, i = 14 cm, k = 11 cm and ZK=26°. Find all possible values of ZI, to the nearest degree. %3D

A: Answer-angle(I) =34°, 146°

Q: In AHIJ, the measure of J=90°, IH = 65, HJ = 56, and JI = 33. What is the %3D %3D value of the sine…

A: First sketch a triangle for the given measures as shown below.

Q: For the given triangle, prove that JK +JL> KL.

A: To Prove: (JK + JL) &gt; KL

Q: D P• 1. Secants AC and CD intersect OP at B and E as shown. If AC = 16, CB = 6, and CE = 4, find CD.…

A:

Q: In ATUV, the measure of ZV=90°, UV = 8.7 feet, and VT = 3.6 feet. Find the measure of ZU to the…

A: x = 22.480    explanation is given in below step

Q: Let a = ci + j andb = 7i + 24j. Find c so that the angle between a and b is. Round your answers to…

A: The objective of the question is evaluate the value of "c" for the given vectors.

Q: let U =5i +12 j and V= -4ij and find the follawing. what is the angle between D and V to the a…

A:

Q: Given that sec(θ)>0 and sin(θ)<0, in which quadrant does θ lie?

A: We know that all trigonometric ratios are positive in 1st quadrant .

Q: In AHIJ, j = 1.9 inches, h = 3.4 inches and ZI=161°. Find ZJ, to the nearest 10th of an degree. %3D…

A: This is a question related to properties of triangles and can be solved by applying cosine and sine…

Q: Let a = ci + jand b = 3i + 4j. Find c so that the angle between a and bis Round your answers to four…

A:

Q: O At what angle is David traveling with respect to the shore? e= tan %3D a

A:

Q: Suppose r(t) = (et cos t)i + (et sin t)j. Show that the angle between r and a never changes. What is…

A: Given information:

Q: Let a = ci + j and b = 4i + 8j. Find c so that a and b are orthogonal.

A:

Q: Let a = ci + jand b = 3i + 4j. Find c so that the angle between a and b is %3D Round your answers to…

A: Given a = ci + j and b = 3i + 4j. The angle between a and b is π6. We have to find the value of c.

Q: At what angles between 0 and will one leaf of r = 4 sin 20 and the circle r = 2 will intersect? 5T…

A:

Q: What is the angle between 2a + 3y + z = 5 and x – ay + az = 7?

A:

Q: 6. What is the tangent of the 30° angle? y 213 60° 30° O yV3 6 O zv3

A:

Q: Find the angle 0 between v= cos 120°i+ sin 120°j and w = cos 135°i+ sin 135°j. If necessary, round…

A: Using trigonometric  formulas

Q: What is the resultant displacement of moving 290 m West and then 390 m South? Note that angles must…

A:

Q: Find the tirst B secend dericatices %3D

A: y=7x55-x+8ex Differentiating with respect to x, we get dydx=ddx7x55-x+8ex=75·5x4-1+8ex…

Q: Find the angle 0 between and 37 such that sec(0) = – /2. -

A: We can solve the problem by finding the angle between the interval.

Q: 8. BU -42, BM = 40 and UL = 59. Find MW. Round to the nearest tenth. %3D %3D U M

A:

Q: In AFGH, the measure of ZH=90°, FH = 24, GF = 25, and HG = 7. What is the value %3D %3D of the…

A:

Q: 3. When instructed to find the length of ZY in right triangle YZX, Josh wrote ZY the equation sin 46…

A:

Q: In ARST, the measure of ZT=90°, RS = 4.8 feet, and ST = 2.4 feet. Find of ZR to the nearest degree.…

A: Explanation and solutions is given below.....

Q: In ATUV, the measure of ZV=90°, UV = 8.7 feet, and VT = 3.6 feet. Find the measure of U to the…

A: A triangle is a polygon having three sides and three vertices. Sum of interior angles of triangle is…

Q: In a 2-dimensional space, the line element is given by: ds2 = de2 + sin²ed¢2 determine the angle/s…

A: In a 2-dimensional space, the line element is give by ds2=dθ2+sin2θ dϕ2 To find the angle of θ, if…

Q: Let a=ci+j and b=3i+6j. Find c so that a and b are orthogonal.

A:

Q: 19. In AGHJ, GH=8, HJ= 10, and mZG= 120. To the nearest tenth, what is %3D %3D mZJ?

A: The Sine rule: asinA=bsinB=csinC   Given: GH=8, HJ=10 &amp; m∠G=120°

Q: Find the angle 0 between v = cos 60°i+ sin 60°j and w = cos 135°i+ sin 135°j. If necessary, round to…

A: Find the angle between two vectors

Q: If DE is not parallel to FG, what is DE? 23 F DE = [ %3D Submit

A: topic - isosceles trapezoid  non parallel sides of isosceles trapezoid are equal

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

A: (As per bartleby guidelines, for multiple questions asked, only the first question will be solved.…

Q: In AJKL, the measure of ZL=90°, JL = 80, KJ = 89, and LK = 39. What is the value of %3D %3D the sine…

A:

Q: sin B  =  ​       cos A  =  ​       (b)    sin A, cos B sin A

A:

Q: Let a = ci +jand b = 12i + 9j. Find cso that the angle between a and bis 6' Round your answers to…

A: Solve by dot product

Q: Consider kite ABCD with AB AD and BC DC. %23 D. For kite ABCD, mzC = mZB - 90° while mzA = m²B -…

A: Consider a kite:   Given: AB¯≅AD¯BC¯≅DC¯……1   and, m∠C=m∠B-90°m∠A=m∠B-50°……2

Q: Given that cos 0 = v2, and the terminal arm i %3D nteasure of the angle in standard position?

A:

Q: In AOPQ, the measure of ZQ=90°, OQ = 45, QP = 28, and PO = 53. What is the value of the cosine of Z0…

A:

Q: Consider the following figure. Given: AB and AC are tangent to o0 mBC = 132° Find the following in…

A:

Q: the dis fance from Pla.y,z) to the origion o d and fe clis fance from Pto ACo.003) is de .writeian…

A:

Q: Let a = ci +j and b 8i + 6j. Find c so that the angle between a and b is Round your answers to four…

A:

Q: Let a = ci +j and b = 4i + 32j. Find c so that a and b are orthogonal. C = i

A: Recall: If two vectors a and b are orthogonal then their dot product is zero that is a·b=0

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.