Answered: - In the acute- angled triangle OPQ,…

- In the acute- angled triangle OPQ, the altitude OR makes angles A and B with OP and OQ. Show by means of areas that if OP-q, 0Q-p, OR=r: p.q.Sin(A+B) = q.r.SinA + p.r. SinB.

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter75: Drilling And Boring Compound-angular Holes

Section: Chapter Questions

Problem 2A

See similar textbooks

Related questions

Q: The center of a circle of radius 3 inches is at a distance of 20 inches from the center of a circle…

A: Given that, OA = 3 inches PB = 9 inches OP = 20 inches

Q: What is the Length of the arc of the circle r = sin θ that remains outside of the cardioid r = 1 —…

A: Arc lenght in polar curves: The formula to find the arc length is, Arc length=∫θ1θ2dxdθ2+dydθ2dθ…

Q: 3. OA and LT are tangents to circle M at points A and L respectively. If mUL = 110°, mLA = 100°, and…

A: As per our guidelines we can answer only three question.

Q: - In the acute- angled triangle OPQ, the altitude OR makes angles A and B with OP and OQ. Show by…

Q: The circles r = sqrt(3) cos u and r = sin u intersect at the point (sqrt(3)/2, pai/3). Show that…

A: For r=sqrt(3)cos(theta) find dr/d theta

Q: consider a triangle with sided 3cm, 4cm, and x cm. Let theta be the included angles of the sides…

A: Area of triangle

Q: Show that the area of triangle

Q: 9 is a central angle that cuts off an arc of length s. Find the radius of the circle if 0 = 153°, s…

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

Q: s denotes the length of the arc of a circle of radius r subtended by the central angle θ=1/4…

A: given, arc length of circle is 2. central angle of circle is 1/4 radian. we have to find radius of…

Q: Derive the formula cos(a)=cos(b)cos(c)+sin(b)sin(c)cos(A) for an arbitrary spherical triangle with…

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

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

Q: For any angle 0 in standard position, let P = (x, y) be the point on the terminal side of 0 that is…

A: Given : For any angle θ in standard position, let P = ( x, y) be the point on the terminal side of θ…

Q: Which of the following best describes a triangle with sides 2 V3, 3, and 4? OF Acute O G. Obtuse OH.…

A: We will find the value of given problem.

Q: A denotes the area of the sector of a circle of radius r formed by the central angle 0, find the…

A: Given is circle with the given information radiusr=16 feetArea of sectorA=71 square feet It is…

Q: The incenter of a triangle is a point where all angle bisectors of a triangle intersect. Point R is…

Q: denotes the length of the arc of a circle of radius r subtended by the central angle u. Find the…

Q: Use Green's theorem to evaluate -y dx + x dy, where C is the unit circle r? + y? = 1

Q: A denotes the area of the sector of a circle of radius r formed by the central angle θ. Find the…

A: Definition used - Area of a sector of a circle =θ360(πr2) Here θ is the angle…

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

A: Consider the given triangle JKL. Construct the triangle JKL as shown below:

Q: A denotes the area of the sector of a circle of radius r formed by the central angle. Find the…

A: R= 2 inches, θ= 60 degrees, A=?

Q: inal the @ e w and cone an ave cof the Cuarve?

A: here i am providing my hand written solution

Q: 1. Line AB is tangent to circle O at A. If AB = 12 and OA = 5, find OB %3D B.

A: We have to find OB

Q: Denotes the length of the arc of a circle of radius r subtended by the central angle u. Find the…

A: r=10 meters & θ=12 radians

Q: On a circle of radius r, a central angle of u radians subtendsan arc of length s = ; the area of the…

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

Q: "denotes the length of the arc of a circle of radius r subtended by the central angle u. Find the…

A: Given: Radius of the circle r=10 milesLength of the arc of the circle s=9 miles To Find: The…

Q: Ex. 3. the horizontal plane through the point of projection. If a and B are the possible angles of…

Q: Show that the area of triangle ABC is given by (1/2)ab sin C = (1/2)bc sin A = (1/ 2)ca sin B.

A: Consider the triangle given:

Q: Find the area of the sector of a circle of radius 14 units subtended by an angle of 80°. Round your…

Q: denotes the length of the arc of a circle of radius r subtended by the central angle u. Find the…

A: The length of the arc is s = 3 miles. The radius of a circle is r = 5 miles. The objective is to…

Q: 1. Show using similar triangles that tan 0 and cot 0 are the respective measures of line segments AR…

A: Using figure ,∠QOA + ∠QOB = 90°⇒θ+∠QOB = 90°⇒∠QOB = 90°-θIn ∆QBO ,∠QBO = 90° and ∠QOB=90°-θ ⇒∠OQB =…

Q: 6) Give the location of a point that is at the angle -40° on a circle centered at the origin with…

A: Given a point that is at the angle -40 degree on a circle centered at the origin with radius 5…

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: If the area inside both the cardioid r 6 + 6 sin 0 and the circle r = 6 is A + B-, then what is %3D…

Q: From a hot air balloon Cat 519.7ft), I See, on an angle of depression of H1.3°, a really big duck.…

Q: In AHIJ, the measure of ZJ=90°, JI = 4, HJ = 3, and IH = 5. What %3D %3D ratio represents the…

A: Given :

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

Q: If the area inside both the cardioid r = 6+ 6 sin 0 and the circle r = 6 is A+ B¨, then what is A+…

Q: 1. Which statement is accurate for the right triangle shown below? 50 17 47 O sec(8) = 0.34 %3D O…

A: Using angle rule

Q: A clown with a spherical head of diameter 28.8 cm is trying on an oversized conical hat with an…

A: Perimeter of a circle: The perimeter of a circle of radius r is circle is given by, C=2πr. Given:…

Q: The sine of the acute angle between the plane n and the line /, where n: x- y+z= 2, and x-2 = y+1 -…

Q: Find the measures of all of the interior angles. 13x 13x 4x 13x A8x Note that the figure is not…

Q: 4) Line MR and line NR are tangents to circle 0. If MZMRN = 64°. Find measures of each of the angles…

A: Given: m∠MRN=64°

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

Q: Line AE is parallel to FD ae is congruent to FD and AC is congruent to BD prove triangle aec is…

Q: Given: AB and AC are B tangents to 00 from point A AABC is isosceles A Prove:

Q: the law of sine for plane triangles given by All of the above is true I O sina/a sine/b sino/c O II…

A: sine rule for triangles is asinα=bsinθ=csin∅

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

Question

- In the acute- angled triangle OPQ, the altitude OR makes angles A and
B with OP and OQ. Show by means of areas that if OP-q, 0Q-P,
OR=r: p.q.Sin(A+B) = q.r.SinA + p.r. SinB.
%3D

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Measurement$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.