The distance that a person can see to the horizon on a clear day from a point above the surface of Earth varies directly as the square root of the height at that pointIf a person 196 m above the surface of Earth can see 21 km the horizon how far can a person see to the horizon from a point 64 m above the surface?

Q: The distance required to stop a car varies directly as the square of its speed. If it requires 200…

A: The distance is directly proportional to square of the speed. That is, d α s2⇒d=k·s2   →1  where k…

Q: A 50-foot ladder leans against a wall so that it is 40 feet high at the top. The ladder is moved so…

A: We have to find the height where top of ladder is higher from base.

Q: The drag force on a boat varies jointly as the wetted surface area and the square of the velocity of…

A: Consider the provided statement. The drag force F on a  boat varies jointly as the wetted surface…

Q: One year ago, a man was 8 times as old as his son. Now his age is equal to the square of his son's…

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Q: while a helicopter is decending vertically an aviation kit dropped from it .If the height of the…

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Q: A right triangle's height is 2 times the length of its base. If the area of the triangle is 36, what…

A: Consider the given information about the right angle triangle:

Q: A river current is 10 km/hr. A barge travels 40 km against the current and then returns with the…

A:

Q: Suppose a tortoise is 1000 feet from the ocean. Each day the tortoise travels three-fifths of the…

A: The given data is: Suppose a tortoise is 1000 feet from the ocean. Each day the tortoise travels…

Q: The length of a rectangle exceeds its width by 8 cm and te area of the rectangle is 240 sq.cm. Find…

A:

Q: Assume that the stopping distance of a van varies directly with the square of the speed. A van…

A: Let the stopping distance by S milesthe speed of van be V miles / hourAccording to question ,S α V2S…

Q: A small motor on a fishing boat can move the boat at a rate of 10 mph in calm water. Traveling with…

A: This is the question that is based on the concept of speed, distance and time. When the boat will…

Q: A rectangular garden is 13.8 ft longer than it is wide. Its area is 2492.55 ft". What are its…

A:

Q: At a construction site, a worker raises an 8-ft sheet of plywood to a platform by sliding the sheet…

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Q: If you are given the roots of a quadratic function, what other information is needed to determine…

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Q: Two runners begin at the same point on a 390-m circular track and run at different speeds. If they…

A: Let x represents the speed of the one runner and y represents the speed of another runner.

Q: The distance that a person can see to the horizon on a clear day from a point above the surface of…

A: The distance that a person can see to the horizon on a clear day from a point above the surface of…

Q: The record height of a man to date is 8 feet 11 inches (107 inches). If all men had identical body…

A:

Q: True or False The Law of Cosines states that the square ofone side of a triangle equals the sum of…

A: True or False: The Law of Cosines states that the square of one side of a triangle equals the sum of…

Q: If a ball is thrown upward at 96 feet per second from a height of 8 feet, the height of the ball can…

A: Given: A ball is thrown upward at 96 feet per second from a height of 8 feet, the height of the ball…

Q: The braking distance of a car varies directly as the square of the speed of that car. Assume that a…

A:

Q: A 3 meter tall fence runs parallel a tall building at a distance of 1 meter from the building. What…

A: To find the length.

Q: A model of the Statue of Liberty is 1% of the height of the real Statue of Liberty. If the real…

A: Given,  The height of real statue of liberty is 46 metres. height of the model is 1% of the height…

Q: At a point on the ground 12 ft from the base of a​ tree, the distance to the top of the tree is 3 ft…

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Q: A ladder is resting against a wall. The top of the ladder touches the wall at a height of 18 feet.…

A:

Q: at a point on the ground 70 ft from the base of a tree, the distance to the top of the tree is 2ft…

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Q: A rectangle with an area of 50 cm² is x cm wide and (x + 3) cm long. To the nearest tenth of a…

A: Let's find width and length of rectangle.

Q: A ladder 8 m long is leaning against a building. How high on the building will the ladder reach when…

A: Here given  A ladder 8 m long is leaning against a building and the bottom of the ladder is x = 2 m…

Q: From the main entrance of a park, there are two pathways where visitors can walk along going to the…

A: Given: Area of garden is 78.54 m2 and distance between main entrance and center of garden is 13 m

Q: A snail moves 1/50 of a mile in 5/6 of an hour. if the snail continues at this pace, how far, in…

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Q: A man is walking away from the lamppost with a light source 10 meter above the ground. The man…

A: We see that when we look at 20 m in the x-direction, we have come down (10-2=) 8 m in the y…

Q: rectangular field is to be fenced into four equal parts. What is the size of the largest field that…

A:

Q: Suppose a tortoise is 1000 feet from the ocean. Each day the tortoise travels three-fifts of the…

A: The Total distance is 1000 feet  Each day the tortoise travels three-fifths of the remaining…

Q: When  anvil is dropped into a gorge, the speed with which it strikes the ground is  directly…

A:

Q: The width of a rectangle is 6 less than twice its length. If the area of the rectangle is 197 cm2,…

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Q: A 50-foot ladder leans against a wall so that it is 30 feet high at the top. The ladder is moved so…

A:

Q: the area of the squares are growing by 1 square unit. determine the side length of each square

A: the side length of each square is determined as shown below

Q: The distance between (5,1),(-2,b) is square root of 85. What is b?

A:

Q: The horsepower (hp) that a shaft can safely transmit varies jointly with its speed (in revolutions…

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Q: Show that the square of the length of subtangent at any point on the curve by2=(x+a)3,(b10) varies…

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Q: The width of a rectangle is 7 less than twice its length. If the area of the rectangle is 181 cm^2,…

A:

Q: The distance that a person can see to the horizon on a clear day from a point above the surface of…

A: Given : d = 64 Height If a person 64m above the surface of the Earth can see 12km to the horizon,…

Q: Suppose that an object is dropped from a height h. Its velocity v at impact with the ground is given…

A: given: suppose that an object is dropped from a height h. Its velocity v at impact with the ground…

Q: At a point on the ground 24 ft from the base of a tree, the distance to the top of the tree is 4 ft…

A:

Q: Light travels at a rate of approximately 1.86 x 10$miles per second. It takes light 5 × 102 seconds…

A: Distance is given by the formula Distance=Speed·Time. Distance travelled by light is given by the…

Q: the stopping distance of a car varies directly as the square of its speed. If a car traveling at 30…

A: Let, d= the stopping distance of the car speed= s Given that, d=ks2  Where k = constant Given s= 30…

Q: The width of a rectangle is 4 less than twice its length. If the area of the rectangle is 162 cm2,…

A: Let l be the length of the rectangle. Since its width is 4 less than twice its length, we have the…

Q: A running track has two straight sides with length 130 m and two semicircle ends with radius 40 m.…

A: Given data: The length of side is l=130 m. Radius of semicircle is r=40 m. Number of rounds are…

Q: At a point on the ground 24ft from the base of a tree the distance to the top of the tree is 4 ft…

A:

Q: At a point on the ground 15 ft from the base of a​ tree, the distance to the top of the tree is 1 ft…

A:

Q: The weight of an airplane including cargo varies as the square of the velocity and the…

A: NOTE: Refresh your page if you can't see any equations. . w=weight  v=velocity A=area . The weight…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.