3. The wheels of a car have radius 1 ft. and are rotating at 600 rpm. Find the speed of the car in mi hr . There are 5280 ft in a mile.

Q: A circle has radius of 1.25 meters. What is the area of a sector of the circle with central angle…

A:

Q: A water storage tank is an upside-down cone, as top is 12 feet and the length of the sloping side is…

A: By using Pythagoras theorem and volume of a cone formula, we calculate the required volume.

Q: Find the radius if the intercepted arc is 60 degrees and the area of the sector is 24pi in. squared.

A:

Q: 42. Find the length of the arc of a circle of diameter 14 meters subtended by the central angle of .

A: Use the formula of the arc length for given diameter and central angle.

Q: If an angle of a sector is held constant, but the radius is doubled, how will the arc length of the…

A: Consider the circle with radius r and that subtends an angle θ at center of the circle.

Q: A 10-ft pendulum swings through an angle of 46°18. What is the length of the arc that the tip of the…

A:

Q: An arc with a measure of 72° has an arc length of 6pi. What is the length of the radius of the…

A:

Q: Assuming Earth to be a sphere of radius 4000 miles, how many miles north of the Equator is Miami,…

A: Solution:Radius=4000 milesTo find the length  Miami, Florida north from the equator if it is…

Q: A winch on a sailboat is 8 in. in diameter and is used to pull in the "sheets" (ropes used to…

A: Given data: The winch on as sailboat is 8 in in diameter. Then the radius of a winch is given as…

Q: Two cities are 2000km apart and lie on the same north-south line. The lattotide of the northmost…

A: Here we will use the formula of arc length in terms of angle subtended and radius of the circle

Q: How long is an arc intercepted by the given central angle in a circle of radius 2.97in​? 60° The…

A: How long is an arc intercepted by the given central angle in a circle of radius 2.97in​? 60° The…

Q: As illustrated in the accompanying figure, copper cable with a diameter of ½inch is to be wrapped in…

A: Consider the parametric equation of helix. x=acost,y=asint,z=ct Obtain a. a=122+0.52=6.25 inch

Q: .) A regular pentagon has a radius of 8 ft area?

A: The radius of a regular pentagon r= 8 ft.

Q: Find the length of the radius if the central angle is 160° and the arc length is 48 TT cm. Round to…

A:

Q: This is a right triangle with dimensions in centimeters. If θ = 41∘, what is the length of x to the…

A: Given: A right angle triangle with the length of hypotenuse 33 cm and θ=41°. Aim: To find the…

Q: 4. Find the length of arc intercepted on the center of a circle of radius 20 cm by central angle…

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: A cone has a radius of 10 cm and a height of 24 cm. What is the slant height?

A:

Q: man is able to run an arc of 150 along a circular track, whose radius is 150 ft. How far did the man…

A:

Q: Given a circle with area 225n cm². What is the arc length of an arc with a central angle of 30°?…

A: Solution ) Area = 225π , central angle = 30° Area of circle = πr2 225π = πr2 225 = r2  r = (225)1/2…

Q: The larger circle is inscribed in a square with sides of length 4 cm. The smaller circle is tangent…

A: Given:          The larger circle is inscribed in a square with sides of length 4cm.          The…

Q: Two circles have radius of 4cm and 12 cm respectively. If the distance between their centers is 30…

A:

Q: A semielliptic arcway has a height of 20 feet and a width of 50 feet, as shown in the figure. Can a…

A: A semielliptic archway has a height of 20 feet its width is 50 feet   First, we will draw a…

Q: B

A:

Q: 19. The arm of a Ferris Wheel starting from the center to its passengers' seat has a length of 80…

A: Given that arm is 80 ft from the center So the radius of the Ferris wheel is 80 ft we need to find…

Q: Each of the three congruent circles of radius equal to 3 cm is tangent to the other two. Find the…

A: The length of sides of ∆ABC is calculated as follows:

Q: Find the area of a sector with radius 6cm.If the angle between the section 60o

A: Area of sector

Q: 4. A right cone has a radius of 10 in and a height (not slant height!) of 24 in. What is the SA?

A: If you like the solution then please give it a thumbs up.. The Answer is:      Surface Area = 360π…

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: Find the measure (in radians) of a central angle of a sector of area 16 in. 2 in a circle of radius…

A: Given data: The radius of a circle is r=3 in. The area of sector of a circle is A=16 in2.

Q: A circle has a radius of 21 millimeters. What is the length of the arc intercepted by a central…

A:

Q: The radius of the base of a riught circular cone is 2m and its height is 3m. What is the slant…

A: The redius of the base of a right circular cone is 2m and its height is 3m .then we find the slant…

Q: The diameter of a circle is 20 centimeters. What is the angle measure of an arc bounding a sector…

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: An airplane reaches an altitude of 3 mi above the earth. Assuming a clear day and that a passenger…

A: Consider the passenger on the airplane at an altitude of 3 miles above the earth as shown in figure…

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

A:

Q: A bicycle wheel travels 32π in. for each revolution. What is the radius of the wheel?

A:

Q: An engineer is asked to design a water sprinkler that will cover a field of 100 square yards that is…

A:

Q: The radius of a circle is 6 feet. What is the area of a sector bounded by a 45° arc?

A: Given radius of a circle= 6 feet center angle = 45°

Q: 1. Find the length of an arc that subtends a central angle of 45° in a circle of radius 10 m?

A:

Q: A planet has an angular diameter of 0.6 degrees and a distance of about 147 km. What is its true…

A: To find the true diameter, when angular diameter=0.6 degrees, and a distance is 147 km.

Q: A 30-inch chord in a circle is 8 inches from the center, as shown in the following figure. What is…

A: Topic - Geometry

Q: Into a quarter of a circle with a radius 5 cm is an inscribed circle. Compute  for the radius of the…

A: This is a problem related to geometry part. Based on the general formula and concept we will solve…

Q: A sector has a radius of 12 cm. if the length of its arc is 12 cm, its area is:

A:

Q: Each circle is tangent to the other two. If the diameter of the large circle is 12, what is the area…

A:

Q: On a circle of radius 6 feet, what angle would subtend an arch of length 7 feet

A: Given the length of the circle is r=6 feet the length of the arc of the circle is S=7 feet Let θ be…

Q: A frequent problem in surveying city lots and rural lands adjacent to curves of highways and…

A: Given:  Base of the triangle= 30yd  Height of the triangle= 40yd  Angle of sector = 60°

Q: The dial of Big Ben's clock in London is 23 feet in diameter. How long is the arc traced by the…

A:

Q: (a) In a circle of radius r, what is the length s of an arc thatsubtends a central angle of u…

A: Given  radius of circle is r central angle = u radians

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.