Two gears are adjusted so that the smaller gear, with a radius of 12.4cm, drives the larger one. If the smaller gear rotates through an angle of 290o when the larger wheel rotates 105o, what is the radius of the larger wheel?

Q: Find the sum of the angle measures of a hexagon.

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A: Here we have to find the angle at the center of the circle of radius 10cm and by an arc length of…

Q: a circle of radius 7, the length of the arc that subtends a central angle of 300 degrees is…

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Q: Solve for the TSA (in square feet) given the dimensions of the square bases and the slant height…

A: Now the area of base is not exposed as its in touch of ground, hence we won't consider it.

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Q: A tightrope walker located at a certain point deflects the rope as indicated in the figure. If the…

A: We need to find tension in each rope.

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A: Given : To determine the area of a parallelogram if the angle between two of the sides is 60° and…

Q: A garden shaped like a rhombus has a perimeter of 100 feet and a 60 degree angle. Find the…

A: Rhombus has 4 equal sides. Perimeter = 100 feet so each side = 100/4 = 25 feet

Q: In the design of a new building, a doorway is 2.65 ft above the ground. A ramp for the disabled, at…

A:

Q: A 6-foot-tall mirror is leaned against a wall at an angle. A 5-foot-tall mirror is leaned against…

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Q: the railway is in the shape of an arch, at an angle of 28 . if the radius of the inner edge is…

A: To find- Difference in length of outer and inner edge.

Q: The sides of the parallelogram are 8cm and 12cm, find the shorter diagonal and the area if the…

A: Given-  The sides of the parallelogram are 8cm and 12cm. To Find- The shorter diagonal and the area…

Q: The angle of inclination from the base of skyscraper A to the top of skyscraper B is approximately…

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Q: A triangle has sides of 4cm, 6cm and 8cm. Is the triangle a right-angled triangle?

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Q: The springboard that Eric uses in his gymnastics class has 6 - inch coils and forms an angle of 14.5…

A:

Q: Solve for the missing 10 cm information, given that the two triangles are SIMILAR. 12 cm (If a…

A: two triangles are similar so the ratio of the corresponding side should be equal. so1012=12x=y14

Q: The diagonals of a parallelogram are 26.7 meters and 39.4 meters. If they meet at an angle of…

A: Given information: The diagonals of a parallelogram are 26.7 meters and 39.4 meters. The angle…

Q: A rescue helicopter hovers at an altitude of 525m over to fishing boats. if an angle of depression…

A: Given that,                 Altitude of helicopter=525m                 angle of depression from the…

Q: If the width of the frame is 3 feet, and the height is 8 feet, how long must the diagonal cross…

A: The diagonal cross section is:-

Q: As the number of sides of a regular polygon increases, does each interior angle increase or decrease…

A:

Q: In ARST, ZR is a right angle. If mzs is 26° larger than mT, find mZT-

A: in △RST given ∠R is an right angle  since m∠R=90 degree   let measure of angle T is =x => m∠T=x…

Q: You are putting together the frame of a fence gate as shown below: If the width of the frame is 3…

A: We know in a right angle triangle the formula of Pythagoras theorem is,…

Q: The arm of a Ferris wheel starting from the center to its passenger seat has a length of 80 ft. How…

A: Topic - circles

Q: A ship sails 110 miles from Island A toward Island B, but then turns through an angle of 120 and…

A: let a,b and c are side opposite to angle A ,B and C respectively.

Q: Find the measure of the missing angles. 270 X = y = Submit Answer attempt i out of 2

A: We will find the missing angles as shown below

Q: 2. From a point on the ground 12 ft from the base of a flagpole, the angle of elevation of the top…

A: #2  Find the length of the flagpole

Q: The trusses of the roof of a house are in the form of an isosceles triangle. If the sides have…

A: Given :  A isosceles triangle with the sides 4m, 4m and 7m.   To find :  Measure of angle formed by…

Q: Looking out the window of his office 33.9 meters above the ground, Jaime observes that the angles of…

A:

Q: Find the perimeter of a right trapezoid whose parallel sides measures 8cm and 11cm with one of the…

A: Given information: The objective is to find the perimeter of a right trapezoid whose parallel sides…

Q: What is the radius of a cone in which slant height is 20cm and angle between the slant height and…

A:

Q: the arm of a ferris wheel starting from the center to its passenger seat has a length of 80 ft. how…

A:

Q: If a wagon wheel had 10 more spokes, the angle between spokes would decrease by 3°. How many spokes…

A: Given data is : A wagon wheel has 10 more spokes, the angle between spoke is decrease by 3∘ To find…

Q: A lot is in the shape of a triangle whose two sides measure 150 m and 100 m, with the angle between…

A:

Q: The sides of a parallelogram are 10 and 20 in long and the included angle is 40°. What is the height…

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Q: From a plane flying due east at 265 m above sea level, the angles of depression of two ships sailing…

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Q: The cross-section of a beehive reveals it is made of regular hexagons. What is the measure of each…

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Q: Side A has a length of 12 m, and angle Y is 12. What is the length of side B?

A:

Q: A steel beam is supported by triangular-shaped braces. The sides of each brace have lengths of 70ft,…

A:

Q: What is the sum of the angle measures in this shape?

A:

Q: If a wagon wheel had 15 more spokes, the angle between spokes would decrease by 4°. How many spokes…

A:

Q: The diagonals of a rectangle enclose an angle of measure 78°. If the perimeter of the rectangle is…

A: Let the length and the breadth of the rectangle be l and b.   Then we have,…

Q: A roof truss is shaped as an isosceles triangle (two "rafter" sides are equal length). If the total…

A: .

Q: What is the measure of one exterior angle of a regular hexagon?

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Q: What is the sum of the exterior angle measures, one at each vertex, of a triangle?

A:

Q: What is the sum of 4 of the interior angles of a regular octagon? Answer: Submit Answer attempt 1…

A:

Q: Find the measures of the angles of a right triangle whose legs are 22 cm and 35 cm long. Round to…

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Q: The three sides of a triangle measure 15 cm, 17 cm, and 18 cm. Find the measure of the largest…

A:

Q: A welder has four pieces of scrap steel angle of lengths 3 1 4 ft, 2 3 8 ft , and 4 3 16 ft . If…

A: Lengths of the scrap steel angle are 314 ft, 238 ft and 4316 ft

Q: What is the measure for each exterior angle for a regular polygon with 200 sides?

A: