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 the point. If a person 64 m above the surface of earth can see 12 km to the horizon, how far can a person see to the horizon from a point 36 m above the surface?

Q: the area of a triangle is equal to the length of the base times the height divided by 2. if the area…

A:

Q: Each side of a square is 30 meters long what is the length of the diagonal

A: the length of t

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

A:

Q: The diameter of each wheel of a bicycle is 26 inches. If you are traveling at a speed of 10 miles…

A: To find the number of revolutions per minute of turning wheel.

Q: A cone has a surface area of 200n square inches. If the radius of the cone is 10 inches, find the…

A: Given that Surface area and radius of base of cone are

Q: The diagonal of the floor of a rectangle office cubicle is 2ft longet than the length of the cubicle…

A: First we have to draw the rectangle with diagonal as per question Represent the length, width and…

Q: In a quadrilateral, half of the product of the sum of the lengths of parallel sides and the parallel…

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Q: An oriental rug is 5 feet longer than it is wide. If the diagonal of the rug is 12 feet, find its…

A:

Q: Find the approximate change in length of the hypotenuse of a right triangle where its legs change…

A: To find the approximate change in the length of the hypotenuse of a right triangle.

Q: At a certain time of day, a tree that is x meters tall casts a shadow that is x - 17 meters long. If…

A: Recall:  Pythagoras theorem,  (Hypotenuse)2=(opposite side)2+(adjacent side)2   We have,…

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: 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: An oriental rug is 3 feet longer than it is wide. If the diagonal of the rug is 12 feet, find its…

A: Given that , An oriental rug is 3 feet longer than it is wide. If the diagonal of the rug is 12…

Q: The first leg of a right triangle is 4 cm longer than its second leg. If the hypotenuse has a length…

A: By pythagarus theorem(first leg)2+(second leg)2=(hypotenuse)2 Let's assume second leg is x cmSo,…

Q: There is a kindo antique bicycle in which the radius of the rear wheel is one-tenth of the front…

A: The length of boundary which surrounds any region is called circumference. The circumference of…

Q: If all men had identical body types, their weight would vary directly as the cube of their height.…

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

A:

Q: The distance that a body falls from rest is directly proportional to the square of the time of the…

A: The distance that a body falls from rest is directly proportional to the square of the time of the…

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

A:

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: The average height of a giraffe is about 2 x 10^1 feet. The average height of an ant is about 4 x…

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Q: If twice the area of a smaller square is subtracted from the area of a larger square, the result is…

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…

A:

Q: If the raindrop is initially 500 m above the ground, how long does it take to fall? Find the

A:

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

A: Let the diameter of the shaft is d and the speed is 's' and horsepower be h According to the…

Q: If Autumn walks 5 miles in 90 minutes, then Autumn will walk how far in 120 minutes if she walks at…

A: Given Autumn walks 5 miles in 90 minutes.

Q: The hypotenuse of a right triangle is sqrt(74) ft and the sum of the lengths of the legs is 12 ft.…

A:

Q: A walk-up ramp runs 20 ft horizontally while rising 4 ft. Use a calculator to approximate its length…

A: Given, Right angle triangle and we have Adjacent side 20ft (say, r) and length 4ft (say, b). To find…

Q: The length of a rectangle is 5 m longer than its width and the area of the rectangle is 320 m² .…

A: The length of rectangle is 5m longer than its width and the area of the rectangle is 320m2.

Q: A wheel has a radius of 13 inches. To the nearest inch, how far does it travel in 3000 revolutions?

A:

Q: An oriental rug is 5 feet longer than it is wide. If the diagonal of the rug is 12 feet, find its…

A: Rectangle property

Q: to deliver products to an outline which is 600 km away from the company warehouse. At the same…

A: Given that  Time taken for delivery  = 10 hours Distance travelled = 600 kilometers    We know that…

Q: Find a number whose difference from its square root is least

A: Explanation of the answer is as follows

Q: The area of a projected picture on a movie screen varies directly as the square of the distance from…

A: Given that area of projected picture on a movie screen varies directly as the square of the distance…

Q: If hearts are geometrically similar and the volume of blood pumped in one beat is proportional to…

A: Suppose the width of the heart is represented by 1. Then, the volume of the heart will be…

Q: At a certain time of day, a tree that is x meters tall casts a shadow that is x−14x−14 meters long.…

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Q: if the side length of a square is 0.5 what would the square root of the area be?

A: Sol:-Given length of a square=0.5 In a square, all the length(side) are equal.so, are of a…

Q: The distance that a freely falling body falls varies directly as the square of the time it falls. If…

A: Let d, in feet, be the distance The distance that a freely falling body falls in time t second Then…

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

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

Q: A certain number added to its square is 30. Find the number.

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: A large ice cream cone can hold 51 cubic centimeters of ice cream and has a height of 15 cm. Create…

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Q: The weight of a body above the surface of the earth varies inversely as the square of its distance…

A: Force F= Weight Distance= d. The point (d, F)=(4000, 200). Variation formula: F∝d2 F=kd2 Where k is…

Q: The distance that a body falls from rest is directly proportional to the square of the time of the…

A: Given data: Consider the distance traveled by a body is "y=144 ft", and time is "t". As per 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: At a certain time of day, a tree that is x meters tall casts a shadow that is x-17 meters long. If…

A: Given:  Height of the tree=x meters Shadow=(x-17) meters The distance between the tips of the tree…

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:

Statements and Logic

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