The surface area of a balloon varies directly as the square of its radius. The area is 1256 cm when the radius is 10 cm. What is the area when the radius is 4 cm?

Q: Make a shape that has the area 25 inches squared but has no (or almost no) straight edges. Explain…

A: We can construct the structure in the following ways

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: 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 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: The volume of a cone, V, varies jointly as its height, h, and the square of its radius, r. A cone…

A:

Q: The volume of the ice cream cone in the diagram is 121 cubic centimeters. 9 centimeters If the…

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Q: The diagram below shows the dimensions of the pane of glass inside a circular window. 6 inches Which…

A: The circumference of a circle is  2·π·r where r is the radius of the circle.   Radius of the circle=…

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: The force needed to keep a car from skidding on a curve varies inversely as the radius of the curve…

A: Let F, r, w and s be the force needed, radius of the curve, weight of the car and speed of the car…

Q: A commercial piece of real estate is priced at $5.25 per square foot. Find the cost, to the nearest…

A:

Q: The square of x varies directly as the cube of y.  When x=2 and y=4, find y when x=8?

A: Given square of x varies directly as the cube of y, thus x2=ky3, where k is the constant of…

Q: The base of a triangle is one half of its height. If the area of the triangle is 196 find its base…

A: Given :- Area of triangle = 196 sq.mm              b = (1/2)h             h = 2b To find the value…

Q: The circumference of a circle is 100 cm. If the radius is increased by 0.1 cm, find the approximate…

A: Follow the procedure given below the.

Q: The weight of a body above sea level varies inversely with the square of the distance from the…

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: Find the area of the sector: 135° 15 yd

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Q: The heat generated by a stove element varies directly as the square of the voltage and inversely as…

A: Lets assume H : Heat generated by a stove element V: voltage R : Resistance

Q: If a field of view is 3.2 mm at 60X, what is the field of view at 25X?

A:

Q: The diameter of the largest particle that can be moved by a stream (or river) varies directly as the…

A: Given,         The diameter of the largest particle that can be moved by a stream (or river) varies…

Q: In a hurricane, the wind pressure varies directly as the square of the wind velocity. If wind…

A: It is known that wind pressure=k(velocity)2.

Q: Find the area of an equilateral triangle with sides 3x - 2, and 2x+6. (Round off the final answer…

A:

Q: The value of a glass varies directly as the square of its radius x cm. glass with radius 5 cm is $…

A: Given':  The value V of glass varies directly as the square ofnits radius " x" c.m  V =k*x^2  If…

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

A:

Q: The volume of a cone, V, varies jointly as its height, h, and the square of its radius, r. A cone…

A: From the given data:

Q: A piece of commercial real estate is priced at $3.50 per square foot. Find the cost, to the nearest…

A: Given : A piece of commercial real estate is priced at $3.50 per square foot. we have to find the…

Q: Your friend has a poster printed from a photograph that is 6 inches wide by 10 inches long. The…

A: Question, 1,Given,          Your friend has a poster printed from a photograph that is 6 inches wide…

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

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Q: Find the perimeter of a square with a diagonal of 17 centimeters. Round your answer to the nearest…

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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: The volume of the ice cream cone in the diagram is 12 n cubic centimeters. 9 centimeters If the…

A:

Q: For an object moving in a circular orbit under gravity, the radius of the orbit is inversely…

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Q: Find the increased in volume of a cylinder if the radius will be doubled and the altitude will be…

A:

Q: A pennant flag that is 2 inches high with a base of 1.5 inches has an area of 1.5 square inches. The…

A: Explanation of the answer is as follows

Q: Suppose the painter has enough paint to cover 14 square feet, and she buys enough paint to cover an…

A:

Q: The force needed to keep a car from skidding on a curve varies inversely as the radius of the curve…

A: Given: The Force (F) that is needed to keep a car from skidding on a curve varies inversely as the…

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: What does it mean to say that a shape has an area of 9 square inches?

A: Area of different shapes are given by different formulas. For an square shape with side length a…

Q: The radius of a circle is 2 kilometers. What is the area?

A: Given circle is area of circle =?

Q: The height of a cylindrical tank is twice its diameter. What is the surface area of the tank if it…

A:

Q: The image of the ant is 8 times the ant's actual sizé and has a length of 7.2 cm. The ant's

A: The image of the ant is 8 times the ant's actual size and has length of 7.2cm

Q: The weight of a body varies inversely with the square of its distance from the center of Earth.…

A: It is known that weight,w=kd2 where d is the distance from the center of Earth.

Q: A 19 -inch laptop has a screen that is 9 inches tall. How wide is the screen? Hint: Laptops are…

A: Given :- 19 inch laptop has a screen that is 9 inch tall

Q: The area of hexagon inscribed in a circle is 200 sq.cm. If the circle is inscribed in a square, find…

A:

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 varies directly as the square of the time that it is falling. If…

A: It is given that the distance a body falls varies directly as the square of the time. If distance of…

Q: The area of a circle is 173 square inches. Find the approximate length of its radius

A: The area of a circle is 173 square inches. Find the approximate length of its radius

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 weight of an object above the surface of the Earth varies inversely with the square of the…

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…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.