Apply Joint or Combined variation in the given real-life situations below. 1. The volume of a pyramid varies jointly as its height and the area of its base. A pyramid with a height of 10 feet and a base with area of 30 square feet has a volume of 300 cubic feet. Find the volume of a pyramid with a height of 24 feet and a base with an area of 30 square feet. 2. The volume of gas varies directly as the temperature and inversely as the pressure. If the volume is 100 cubic centimeters when the temperature is 400°K and the pressure is 40 pounds per square centimeter, what is the volume when the temperature is 150 % and the pressure is 15 pounds per square centimeter?
Apply Joint or Combined variation in the given real-life situations below. 1. The volume of a pyramid varies jointly as its height and the area of its base. A pyramid with a height of 10 feet and a base with area of 30 square feet has a volume of 300 cubic feet. Find the volume of a pyramid with a height of 24 feet and a base with an area of 30 square feet. 2. The volume of gas varies directly as the temperature and inversely as the pressure. If the volume is 100 cubic centimeters when the temperature is 400°K and the pressure is 40 pounds per square centimeter, what is the volume when the temperature is 150 % and the pressure is 15 pounds per square centimeter?
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
Related questions
Question
Apply Joint or Combined variation in the given real-life situations below.
1. The volume of a pyramid varies jointly as its height and the area of its base. A pyramid with a height of 10 feet and a base with area of 30 square feet has a volume of 300 cubic feet. Find the volume of a pyramid with a height of 24 feet and a base with an area of 30 square feet.
2. The volume of gas varies directly as the temperature and inversely as the pressure. If the volume is 100 cubic centimeters when the temperature is 400°K and the pressure is 40 pounds per square centimeter, what is the volume when the temperature is 150 % and the pressure is 15 pounds per square centimeter?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Elementary Algebra
Algebra
ISBN:
9780998625713
Author:
Lynn Marecek, MaryAnne Anthony-Smith
Publisher:
OpenStax - Rice University
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill