Answered: The area of an equilateral triangle is…

The area of an equilateral triangle is decreasing at a rate of 4 sq. cm. per minute. Find the rate at which the length of a side is changing when the area of the triangle is 100 square centimeter.

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter2: Working With Real Numbers

Section2.3: Rules For Addition

Problem 14P

See similar textbooks

Related questions

Q: If a snowball melts so that its surface area decreases at a rate of 1cm /min, find the rate at which…

A: Diameter= DRadius = r =D/2Surface area = A= 4pi*r^2Given dA/dt= -1 cm^2/min (negative because…

Q: A rectangular parallelepiped with an altitude of 10cm has its width decreasing by 2 cm/min and…

A: A rectangular parallelepiped with an altitude of 10cm has its width decreasing by 2 cm/min and…

Q: The acceleration of a Maserati is proportional to the difference between 250 km/h and the velocity…

Q: The restaurant in the Space Needle in Seattle rotates at the rate of one revolution per hour (or one…

A: The restaurant in the Space Needle in Seattle rotates at the rate of one revolution per hour. And…

Q: The volume of a cube is decreasing at a rate of 24 cubic inches per minute. At the instant when an…

A: Given that The volume of a cube is decreasing at a rate of 24 cubic inches per minute.…

Q: The volume of a cube is increasing at a rate of 64 in/sec. At what rate is the length of each edge…

Q: Each side of a square is 6 ft and is increasing at a rate of 2 ft per second. How fast is the area…

A: By differentiating equation of area of square with respect to time and substituting the value of…

Q: snowball melts so that its surface area decreases ata rate of 1cm^2/min, find the rate at which the…

A: Given query is to find the rate of chnage of diameter.

Q: If a snowball melts so that its surface area decreases at a rate of 6 cm2/min, find the rate at…

Q: The area of an equilateral triangle is decreasing at a rate of 4 sq. cm. per minute. Find the rate…

A: Given,dAdt=-4 cm2/minA=100cm2Let,x=side of the equilateral triangle find dxdt when dAdtis decreased…

Q: the altitude of a triangle increases at a rate of 1 cm/min while its area increases at a rate of 3…

Q: A 5-foot-tall woman walks at 8 ft>s toward a streetlight that is 20 ft above the ground. What is…

Q: If the rate of change of the surface area of a sphere with respect to its radius is 16pi sq cm, find…

Q: A man 6 feet tall walks at a rate of 5 feet per second away from the light that is 15 feet above the…

A: Consider the given:

Q: A sphere is filled with air. If the volume of the sphere is decreasing at a rate of 534 cubic cm per…

A: Given

Q: If the volume of a different sphere is increasing at a rate of 24 cubic inches per minutes and the…

Q: If a snowball melts so that its surface area decreases at a rate of 2 cm2/min, find the rate at…

Q: If a snowball melts so that its surface area decreases at a rate of 7 cm2/min, find the rate at…

Q: The pressure exerted by a certain Iiquid at 0 given point varies directly as the depth of the point…

A: Given pressure of liquid at a point is directly proportional to the depth of the surface at the…

Q: If I am blowing up a balloon at a rate of 3 cubic feet per minute, what is the rate of change of the…

A: Since, it is given that a person is blowing up a balloon at a rate of 3 cubic feet per minute, then…

Q: The side of a cube decreases at a rate of 9 m/sec Find the rate at which the volume changes, when…

Q: An airplane flying on a straight flight path will be exactly above a radar tracking station, which…

A: Given: Perpendicular distance between station and plane is 5,000 km To find rate of distance of…

Q: A 5-foot-tall woman walks at 4ft/s toward a street light that is 25ft above the ground. What is the…

Q: A trough is 10 ft long and its ends have the shape of isosceles triangles that are 3 ft across at…

A: We have to find how fast is the water level rising when the water is 6 inches deep.

Q: A parallelogram of rectangular surfaces has a square base and its volume is always 108 cubic…

A: Given information

Q: The width of a rectangle is increasing at a rate of 2cm/sec, while the length increases at 3cm/sec.…

Q: a of 3 inche tall and has a radius of 2 inches How fast does the water level rise when the water is…

Q: If the radius of a cone increases at a rate of 36 inches per second and the height decreases 2 feet…

A: Given

Q: A 6-foot-tall woman walks at 9 ft/s toward a street light that is 24 ft above the ground. What is…

A: The height of the woman is 6 ft. and the height of the street light is 24 ft.The woman walks at 9…

Q: The volume of a cube decreases at a rate of 0.75 ft3/min. What is the rate of change of the side…

A: Consider a cube with side 'a' The rate at which the volume of cube is decreasing is 0.75 cubic feet…

Q: snowball melts so that its surface area decreases at a rate of 2 cm2/min, find the rate (in cm/min)…

A: Given query is to find the rate at which diameter of snowball is decreasing.

Q: If a snowball melts so that its surface area decreases at a rate of 1 cm²/min, find the rate at…

A: 1) Let A be the surface area r = radius of the sphere D = diameter of sphere = 10 cm…

Q: Two cars start moving from the same point. One travels south at 64 mi/h and the other travels west…

Q: A kite, 120 ft above the ground, is moving horizontally at the rate of 10 ft/sec. At what rate is…

Q: If a snowball melts so that its surface area decreases at a rate of 4 cm4/min, find the rate at…

A: Note that snowball has a shape of sphere.

Q: The lengths of the edges of a cube are increasing at a rate of 8 ft/min. At what rate is the surface…

Q: The radius of the tires of a car is 18 inches, and they are revolving at the rate of 673 revolutions…

A: To find the circumference of the tyre.

Q: The force of the wind blowing on a vertical surface varies jointly as the area of the surface and…

Q: The pressure exerted by a certain liquid at a given point varies directly as the depth of the point…

Q: How long (in hours) would it take to fill a city water tank that has an inside diameter of 120 feet…

Q: If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate at…

A: Given information:

Q: A man 6 feet tall walks at a rate of 2 feet per second away from a light pole that is 16 feet high.…

A: From the figure substitute value of BE, AE, AD and AC in equation (1)

Q: If a snowball melts so that its surface area decreases at a rate of 5 cm2/min, find the rate at…

Q: The volume of a cube is increasing at a rate of 56 in/sec. At what rate is the length of each edge…

A: Given that the volume of a cube is increasing at a rate 56 in3/sec and the edges are 8 in. long. It…

Q: A trough is 12 ft long and its ends have the shape of isosceles triangles that are 2 ft across at…

A: Let the volume of the water in the trough at time be V. The rate of change of V is,

Q: The pressure exerted by a certain liquid at a given point varies directly as the depth of the point…

Q: The area of a rectangle is increasing at a rate of 4 cm/sec ? while the width of the rectangle…

A: The area of a rectangle is increasing at a rate of 4 cm/sec ? while the width of the rectangle…

Q: If the area of a circle decreases constantly by half a square foot per second, at what rate is its…

A: Here, given that the area of the circle decreases constantly by half s square foot per second. That…

Q: The side of a square sheet is increasing at rate of 4 cm per minute ,At what rate is the area…

Q: The width of a rectangle is increasing at a rate of 2cm/sec, while the length increases at 3cm/sec.…

A: Suppose that the length of rectangle is “l” and width is “w” So according to the question, dwdt=2…

Question

The area of an equilateral triangle is decreasing at a rate of 4 sq. cm. per minute. Find the rate at which the length of a side is changing when the area of the triangle is 100 square centimeter.

Expert Solution