Consider a right triangle with a side of length x opposite angle A, a side of length y opposite angle B,  and a hypotenuse of length z opposite the right angle. If sinB= 13–√ and x=4, find the length of the other side (y) and the length of the hypotenuse (z).

Q: Given Circle 0, AB is congruent to CD, OF = 4x +9, OE = 29. Solve for x.

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Q: The acute angle (in radians) between the two straight lines y 3x + 2 and y = 4x + 7 is closest to O…

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Q: Solve for the missing information, given that the two triangles are SIMILAR. /3 cn 3.2 cm 12 cm (If…

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Q: Suppose that Ө is in standard position and y=9 &  r= 3 square root 13, use the given information to…

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Q: In the diagram of right triangle ABC,CD intersects hypotenuse AB at D. If AD = 4 and DB = 6, which…

A: Given,   To evaluate AC if CD is perpendicular of AB

Q: In circle O, PA and PB are tangent segments from point P. B 1. If OA=6 cm and PA=8 cm, find OP. 2.…

A: Given

Q: If BC is tangent to Circle O, find the value of AB. 16 а. 192 b. 13.9 A- C. 8 d. 24

A: We are asked to find the value of AB.

Q: To measure the length of the pond, Jacob marked off congruent triangles as shown in the diagram. C.…

A: It is required to prove AB=XY.

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Q: A PQR is circumscribed about Circle C. A triangle is a circumscribed triangle if each of its sides…

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Q: Q3) On a circle of radius 10 m, how long is an are that subtends a central angle of 4n/5 radians?…

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Q: The hypotenuse, c, of right AABC is 11.7 cm long. Given 15 the trigonometric ratio sec A = for angle…

A: Given:  secA=153 We know that in the right angle triangle, secθ=HypotenuseBase

Q: BC is a tangent. If the measure of arc DC Is 3 less than twice the measure of In Circle O, AOC is a…

A: AOC is a diameter of the circle  Measure of arc DC is 3 less than twice the measure of arc AD.

Q: Given a right triangle with legs measuring 8 feet and 15 feet, use the Pythagorean theorem to solve…

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Q: Consider the right triangle shown, in which the two sides have length 1. (a) Using the Pythagorean…

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A: sin X = perpendicular/ hypotenuse

Q: As usual, when faced with a newformula, it is a good idea to try it on familiar objects to be sure…

A: The given equation is, r=asinθ   Consider the formula to find length of the curve.   L=r2+drdθ2dθ…

Q: L is parallel to D. The distance between L and D is /53.

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Q: n. В D A

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Q: If sin =VA – VB, then, by using a half-angle formula, find

A: Here, the given expression is: sinπ12=12A-B

Q: Given Circle 0, AB is congruent to CD, OF = 4x +9, OE = 29. Solve for x. F.

A: Two chords of equal length have an equal distance from the center.

Q: Solve for the missing information, given that the two triangles are SIMILAR. 12 cm 7 cm (If a…

A: Given two similar triangles: Let △ADE~△ACE in which AD=7, DE=10, AC=12, BC=14. To find x and y,…

Q: Solve for the missing information, given that the two triangles are SIMILAR. /3 cm 3.2 cm 12 cm (If…

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Q: Find the acute angle to the nearest degree between the vertical lin x = 2 and 3x -2y + 1= 0

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Q: Given tangents DB & AB in circle C, find length of DB B 6.

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Q: "For the right triangle shown, express the cos of ∅ as a fraction in lowest terms if side a=8, side…

A: The edge length of the right-angled triangle  is  a=8, side b=6 and side c = 10 We need to find as…

Q: Given Circle 0, AB is congruent to CD, OF = 4x +9, OE-29. Solve for x.

A: we have to find the value of x

Q: use the formula x=1/32 v2 sin 2 theta to explain why the projection angle that maximizes the…

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Q: . Given: PA and PB are tangents to 0. Use the diagram at the right to explain how the corollary on…

A: Given: PA  and  PB are tangents to O   From the above diagram:   a)  ∠P  and  ∠O  are  the two pairs…

Q: In ARST, s = 58 inches, ZR=115° and ZS=19°. Find the length of r, to the nearest 10th of an inch.…

A: given,

Q: In circle A, BC is tangent to the circle. А C. 3. If the distance of point C from the center of the…

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

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Q: If 0 &lt; t &lt; π/2, describe sec t as a ratio of the lengths of the sides of a right triangle.

A: If 0 &lt; t &lt; π/2, we have to describe sect as a ratio of the lengths of the sides of a right…

Q: Find the angle, in degrees between 0 and 360° which intersects the unit circle at the point (--) V3…

A: To given point is in the third  quadrant. Refer to the figure below.…

Q: During one of Pepe's regular Sunday walking, he plays a two hour-cassette tape (one hour on each…

A: Solution: Let the initial radius of the tape is 1 and the playing time of cassette tape is 2 hours.

Q: In the diagram to the left, LABC and ZDCB are right angles. Which of the following is closest to the…

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Q: For each figure, compute the perimeter to the nearest millimeter and the area to the nearest square…

A: (a) Given triangle is                                   By Pythagoras theorem…

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A: Here by making a sketch of a right triangle and labelling the sides appropriately, we have to find…

Q: Find the approximate value of the smaller angle formed between the line y = I and the 12 %3D of the…

A: We have to find the value of smaller angle formed between the line y=712x and positive part of…

Q: Given the following right triangle with x = 6,and y = 8, calculate r and then calculate each of the…

A: We have given The right triangle with x = 6, and y = 8.

Q: If 0° < 0S 360°, find all the angle measures of 0 that makes sec 0 = -V2 and Ssc e = V2.

A: Given,           secθ=-2 and cscθ=2To find : The measures of all angle, θ.

Q: In right triangle SRT below, mZR = 90°, mZS = 30° and SR = 4 , what is the length of ST? R

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Q: O From a point S due south, the angle of el- evation of the top of a vertical mast is 38°. From…

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Q: In circle Q AOC is a diametr ADB is a secant and BC is a tangent. If the measure of arc DC is 3 less…

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Q: If ZQ = 42°, = 36 cm, and p = 52 cm, what is the length of q, to the nearest centimetre? %3D P. R Q…

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Q: In the accompanying diagram, tangent PA and secant PBC are drawn to circle O from external point P.…

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Q: How many common external tangents can be drawn to the two circles?

A: A tangent to a circle is a line intersect at the circle in exactly one point of the circle.

Q: Consider a right triangle with a side of length x opposite angle A, a side of length y opposite…

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Q: Consider the right triangle depicted whose legs have lengths 1 and 3. Use the Pythagorean theorem to…

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