10. A vehicle has tires that are 75cm in diameter. A point is marked on the edge of the tire. Determine the measure of the angle through which point turns every second if the vehicle is traveling at 110km/h. A. 4669° B. 4668.5° C. 3059.5° D. 4678.5°

Q: 13. What is the area of the sector if a circle has a central angle measurement of and a radius of 4…

A: Follow the procedure given below.

Q: Find the area of the sector of a circle of radius 18 units subtended by an angle of 260°. Round your…

A:

Q: What is the value of cot 0 if the terminal side of angle 0 intersects the unit circle in the first…

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Q: The Friendship Bridge over the Tempisque River in Guanacaste has a structure made up of four…

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Q: Using the fact that 7 rad = 180°, find the degree equivalencies for the following angles measured in…

A: Given:  π rad=180°To compute : For a given angle measured in radians…

Q: Find the sum of the measures of the interior angles of the given figure.

A: We draw these lines in the given polygon.

Q: The measurement of an inscribed angle is its intercepted arc. * O one-fourth of O one-half of O…

A:

Q: 3. Suppose angle P is 110°. What would be the measure of arc LF? (Figure may not be drawn to scale)…

A: The measure of each inscribed angle is exactly half the measure of its intercepted arc.

Q: Consider a clock with an hour hand and minute hand. What is the measure of the angle the minute hand…

A:

Q: 4. A central angle 0 in a circle of radius 20 m is subtended by an arc of length 25TT inches.Find…

A: Given, Radius r=20 m Arc of length = 25π inches. If you observe here the units are different, so let…

Q: 2. Determine the lengths of the missing sides using trigonometric ratios. a. b. 4 in. 60 2.5 in. ho…

A: The side opposite to the angle is taken as perpendicular during writing trigonometric ratios.…

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A:

Q: In the diagram below of circle K, secant PLKE and tangent PZ are drawn from external point P. P K E…

A:

Q: 31. What is the slant height of the cone to the nearest whole number? The figure is not drawn to…

A:

Q: A fountain of water is 9.58 feet high and is located at the center of a circular pool whose…

A: Use trigonometric ratio to solve

Q: 5/7.1/// On a circle of radius 8 feet, give the degree measure of the angle that would subtend an…

A: Here we have to find the angle.

Q: What is the value of csc 0 if the terminal side of angle 0 intersects the unit circle in the first…

A: Given data:     The given value is: x=10⁄17.   The unit circle is the circle having one radius. The…

Q: 9) A sonar operator on a cruiser detects a submarine at a distance of 500 m and an angle of…

A: Let the depth of the submarine be x . x=?

Q: 2.

A:

Q: 3. Determine the measure of a central angle that is formed by an arc length of 57.2 cm and a radius…

A: Given In part(a) Arc length = 57.2 cm  radius = 14 cm In part (b) central angle = 7π6

Q: 3. An arc with length 8n units is intercepted by a central angle with measure rad.How long is the…

A: Solve for the diameter

Q: if a ship deviate from course by 10 degree sand 15 miles travel? How many miles will away from route…

A:

Q: Suppose that a Central Angle of 29 degrees subtends an Arc Length of 36 cm. Find the radius of the…

A: Here we have the arc length and the angle subtended by the arc at the centre we have to find the…

Q: 7. Two guy wires 27 m and 15 m in length are to be fastened to the top of a TV tower from two points…

A:

Q: 28. If the measure of arc SRis 118°, calculate MSTR. E D R C

A:

Q: 23. A car is traveling around a circular road whose diameter is 10 m. If the distance traveled by…

A: Given a car is travelling around a circular road whose diameter is 10 m. Distance travelled by the…

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A: Given:- A right angle has hypotenuse of length 9 and its leg opposite to angle θ  is of length 6. To…

Q: 3) The radius of a circle measures 25 m. Calculate the angle between the tangents to the circle,…

A: Given Since The radius of a circle is perpendicular to the tangent line through its endpoint on the…

Q: Evaluate the area of the sector of a circle if its radius is 9.4 cm and the angle subtended at the…

A:

Q: 4. Explain why the values of the trigonometry ratios only depend on the angle and not on the…

A: Given two triangles one having sides x, y and z and other having sides q, r and s. The angle given…

Q: If arc OQ = 47 and arc NP = 15 find the value of angle m. Round to the nearest tenth. %3D N P

A:

Q: Solve for the missing information, given that the two 10 cm triangles are SIMILAR. 6 cm (If a…

A:

Q: 1. If a 150 ft church tower cast a shadow 210 ft. long. Find the measure of the angle of elevation…

A: according to our guidelines we can answer only first question and rest can be reposted.

Q: Next Find the area of a triangle with sides of length 15 and 21 and included angle 43°. (Round to…

A:

Q: 13 Note: Figure not drawn to scale. Triangle FGH is inscribed in the circle above. If arc FG is…

A:

Q: Find the length of the intercepted arc if the area of a sector of a circle formed by a central angle…

A: The arc length is equal to the product of radius and central angle in radians.  Let arc length be L,…

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A:

Q: Consider the diagram below. 17 cm. 15 ст. 8ст. A If LB is the reference angle, then which of the…

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Q: What is the angle (in degrees) subtended by a sector with an area of 39.27 cm² and a radius of 5cm.…

A:

Q: 26. What is the radius of a circle if the central angle of a sector is 22°, and the arc length is…

A:

Q: 1.The angle at the vertex of a cone is measured using a 30mm diameter coin as shown in the figure…

A: diameter = 30mm , so radius = 15mm for find the value of \thetaθ . we use identity tan\thetaθ = P/B…

Q: What is the angle in degress subtended by a sector  with an area od 39.27cm² and a

A: let θ be the angle subtended by the sector the area of the sector is given by area of sector…

Q: 7. Consider the circle drawn below where the measure of, ZC AR 2.15 radians and the measure of the…

A: GIVEN,       radius =6cm and angle CAR=2.15 radians

Q: In circle O, PQ is a tangent and PRT is a secant. If angle P is 56 degrees and arc QT is 192…

A: Given, In circle O, PQ is a tangent and PRT is a secant. If angle P is 56 degrees and arc QT is 192…

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A: Given that a peach pie is made with 13 peaches which are evenly distributed through out the pie. If…

Q: Find the area of a sector of a circle of radius 10, subtended by an angle of 1.5 rad? What if the…

A: Given- Circle of radius=10 cm, angle= 1.5 rad and angle=1.5°. To find- The area of the sector of the…

Q: 4. Find the exact measure of the radius if the central angle of a circle is 200° and the arc length…

A:

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.