The wheels of a car have radius 11 in. and are rotating at 600 rpm. Find the speed of the car in mph.

Q: Two circles, each of radius 6 units, have their centers 8 units apart. Find the length of their…

A: Explanation of the answer is as follows

Q: The wheels of a car have radius 11 in. And are rotating at 550 rpm. Find the speed of the car in…

A: Radius of wheel = 11 inches  we know  wheel of car is shape of circle  so circumference of circle =…

Q: A 35-foot ladder is leaning against the side of a building and is positioned such that the base of…

A: Length of the ladder = 35 foot Base of the ladder is 21 feet from the base of the building. We can…

Q: A ramp at the top of a 4 ft high truck dock is to be constructed with an angle of inclination of…

A: Given Information -  A ramp is to be constructed at the top of a 4 ft high truck dock. the angle of…

Q: From the top of a building 100 m high, the angles of depression of two cars due east of the observer…

A: I am attaching image so that you understand each and every step.

Q: Find the length of a 35° arc of a circle whose radius is 8 cm.

A: If the central angle is in degree, the arc length of the circle is obtained using the formula  Arc…

Q: A 10-ft ladder is leaning against a vertical wall so that the bottom of the ladder is 4 ft away from…

A: Figure

Q: A 20 foot ladder leans against the a house forming a 75 angle with the house. Exactly how far is the…

A:

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: A car travels at 60mph and has 24 inch in diameter tires. What is the angular speed of a point on…

A:

Q: A circle has a radius of 20 centimeters and a central that measures 216 degrees, find the length of…

A: A circle has a radius of 20 centimeters and a central that measures 216 degrees

Q: The radius of two parallel sections on the same sphere are 9 and 12 cm.and the distance between them…

A: r is the radius of the sphere . x is the distance from center to the second parallel section

Q: A cannon is fired at an angle of 34° with the horizontal. If the cannonball has an initial velocity…

A: From the given information, The angle of projectile from the launch is given as 34°. The initial…

Q: A rock is thrown downward from the top of a building, 168 ft high, at an angle of 60 ◦ with the…

A: Use the displacement formula, x=v0(cos θ)t and substitute v0 with 80 and θ with 60° to get x=40t.…

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

A:

Q: A fence 15 feet tall runs parallel to a tall building at a distance of 3 ft from the building as…

A: Here we have A fence 15 feet tall that runs parallel to a tall building at a distance of 3 ft from…

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

A:

Q: A team of forestry graduate students want to determine the height of a giant sequoia tree using…

A: We have to find height of tree.

Q: Draw a cone that is circumscribed about a regular pyramid whose base edge is 5 inches less than 3…

A: Introduction: A pyramid and a cone is very significant solid geometrical figure in mathematics. The…

Q: Find the length of the curved part of a circular sector with a radius of 8 cm and a central angle of…

A: The length of the curved part of a circular sector   S=r·θ ; Where  r  be the radius of the circle…

Q: Given a cone 10 feet tall with a diameter of 10 feet, determine the radius of the smaller cone…

A: The plane passing through the cone is horizontal. The bigger cone has height of 10 feet and diameter…

Q: A church spine is known to be 60 meters high. At point when the top is seen through a theodolite,…

A: Given- A church spine is known to be 60 meters high. At point when the top is seen through 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: 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: Calculate the length of the arc of a circle of radius 31.0 cm which π/6 subtends an angle of at the…

A: we have to calculate the length of the arc of a circle whose radius is 31.0cm and which subtends π6…

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: A 36 -ft ladder leans against a building so that the angle between the ground and the ladder is 83…

A:

Q: On the baseball diamond, the pitcher's mound is 60 ft, 6 in. from home plate. Bases are 90 ft apart.…

A: Given that: The baseball diamond, the pitcher's mound is 60 ft, 6 in. from home plate. Bases are 90…

Q: The end of a 40-in pendulum describes an arc of 5 in. Through what angle does the pendulum swing?

A: Given, 40 in pendulum acr described =5 in

Q: A dog is tied to a pin in the middle of a circular area of radius 26 ft. The angle between her…

A: I am attaching image so that you understand each and every step.

Q: Find the angle of the largest circular cone which be inscribed in a sphere radius 9 inches.

A: Consider the height of the cone, h inches, and radius r inches. Use the Pythagorean theorem to the…

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

A:

Q: Find the radius of a circle inscribed in a rhombus whose perimeter is 100 inches and whose longer…

A: GivenPerimeter of a rhombus=100 inchesCircle is inscribed in…

Q: A large truck traveling on a level surface has a wheel with a diameter of 2 feet. If the wheel makes…

A: Given diameter = 2 feet Rotation = 270° Distance travelled = circumference around 270°

Q: The radius of the earth is approximately 3959 miles long. If the angle from the center of the earth…

A: Given data is : Radius is 3959 miles Angle θ=2∘=2180π radian  To find the distance between two…

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: A 18 ft ladder is leaning against a building so that the angle between the side of the building and…

A:

Q: what is the length of an arc of a circle with radius 4cm that subtends a central angle of 216…

A: Given,        The length of an arc of a circle with radius 4cm that subtends a central angle of…

Q: Find

A: Given that : Diameter = 30 feet Radius = 15 feet Length = 2 feet Inclination = 45 degrees

Q: A 33-ft ladder leand against a building so that the angle between the ground and the ladder is 80°.…

A:

Q: A 12-ft ladder leaning against a house makes a 64° angle with the ground. Will the ladder reach a…

A: Check the ladder reach window sill 10.5 ft up from the base of house.

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

A:

Q: The wheels of a car have radius 10 in. and are rotating at 550 rpm. Find the speed of the car in…

A: This is Basic maths problem

Q: A force of 13 lb is required to hold a 29-lb crate on a hill. What angle does the hill make with the…

A: To calculate the angle which is make with the horizontal if the force acting on an object is 13 lb…

Q: Calculate the radius of a circle in which a chord of length 10cm is 12cm from the centre.

A:

Q: A billboard 85 feet wide is perpendicular to a straight road and is 40 feet from the road. Find the…

A:

Q: From the top of a spire of height 50 ft, the angles of depression of two cars on a straight road at…

A: Form the right triangle and use Trigonometric ratios.

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.