21. The image of the point (3, 4) rotated on a clockwise direction about the origin is (3√3-4, 4√3+3). What is the angle of rotation? 2 2 a. 180° b. 60° c. 45° d. 90° e. None of the above

Q: 4. Find mZA, mZB, and mZC. (6x-30)* (3x+15) B (4x) с

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: b) Find the counter-clockwise angle of rotation of axes to remove the xy term in the equation 12x² +…

A:

Q: B= 17°, b 6.2, a = 10.60 O A. A= 150°,C= 13°, c= 4.8 O B. no triangle O C. A, = 30°, C, = 133°, c, =…

A:

Q: 1. Evaluate: -5x°+ (64) 3 + 16

A:

Q: Explain how to solve this question in detailed steps.

A: Step 1:Step 2:

Q: Boat 1 is 670 yards from Boat 2. Boat 2 is 240 yards from a lighthouse. The angle formed between…

A:

Q: In the figure below, /1 and /2 intersect at C, and the angle between them is a. (a) Give the…

A: As per the question, we are asked to find the rotocenter, angle, and direction of rotation for two…

Q: Find a poiar coordinate that corresponds to each rectanguiar point. 3√3 (2,313) b. (√2,-√2) a.

A:

Q: 4 b. Parallelogram MNOP is rotated 180° about the origin and then reflected across the y-axis. What…

A:

Q: using a wooden 8. The Gray family is moving into a new home and they are ramp to roll furniture over…

A:

Q: 4. Find x, y and z 50°

A: Theorem 1: The measure of an inscribed angle in a circle equals half the measure of its intercepted…

Q: We can now use reflection to find many other points! What would the coordinates of 315° be? Submit…

A:

Q: fred said he found three angles for which Cos @= Ž. faxplain. Is that possible if 0° £o< 360°?

A:

Q: 7. Determine the following for any point P. a) Using the 30° angle as the angle of intersection,…

A:

Q: the measure of each angle in its interior.

A: To write the angles of the figure:

Q: An angle in standard position is a positive angle if the generating line, the terminal side, is…

A: Introduction :We have given a statement regarding positive angle. We have asked whether it is true…

Q: Determine the images of the vertices of triangle ABC after a clockwise rotation of 90 degrees about…

A:

Q: Î+ i+3j- 4k ar cis. The new

A:

Q: Determine the number of lines of symmetry of the giv

A: Line of symmetry is a virtual line on a figure where both sides of it is the reflection of each…

Q: The picture below shows an angle. Which of the answers is coterminal with that angle? (-1,0) 4 50.…

A:

Q: In the accompanying diagram, chords AB and CD intersect at E. If mAC = (10x + 4)° MLAED = 45° and…

A:

Q: Find the area of the triangle with vertices at RCS (3,-2,5) CCS (4,25°,1) CCS (2.5,40°,-2)

A: One of the point in rectangular coordinate is 3,-2,5 and other two points in Cylindrical coordinate…

Q: ) In right triangle ABC shown below, altitude CD is drawn to hypotenuse AB. Explain why AABC ~ AACD.…

A: We need to show that △ABC~△ACD

Q: 2i+3j-4k and ax1s axis. The new p

A:

Q: 10 Line L 2. 10 12 Use the figure above to answer the following questions. (a) Translate triangle A…

A: (a) x-coordinate of each vertex is added by 8 and y-coordinate is subtracted by -2. b) c)

Q: Exercise 1.12. Determine the cosine of the angles of the triangle whose vertices are A = (2,-1, 1),…

A: We can find the length of all the three sides then with the help of cosine rule of triangle we will…

Q: Find the length of cardioid r = a cos2 ½ θ. Show complete solution. a. a b. 2a  c.3a d.4a

A: Given:         r=acosθ22 Length of cardioid =2∫0πr2+drdθ2dθ             drdθ=ddθacosθ22…

Q: 30. In right triangle ABC with C = 90°, AB = 10 and BC = 8. What is cos A? 4 3 4 3 а. b.- 5 d. - 4…

A: Option B is the correct answer. Pythagorean theorem must be applied to find out unknown side length…

Q: The Law of Cosines says that... a² = 6² +c² 2

A: