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What is the relationship between area of a circle and its radius squared for a series of circles with large increasingly large radii?
The area of a circle is directly proportional to the square of its radius. If two circles have radii R1 and R2 , then the ratio of their areas is ( R1/R2 )2
What is the relationship between perimeters and areas of similar figures?
Whatever the ratio of perimeters of the similar figures, the areas will be in the ratios squared. Examples: * if the figures have perimeters in a ratio of 1:2, their areas will have a ratio of 1²:2² = 1:4. * If the figures have perimeters in a ratio of 2:3, their areas will have a ratio of 2²:3² = 4:9.
Which Best describes the relationship between (x plus 1) and the polynomial x2 - x - 2?
No it’s not a factor
What is an algebraic or numerical sentence that shows that 2 quantities are equal is a?
It is an identity.
How is the perimeter and area of a square related?
There is no direct relationship. The perimeter is proportional to the length of the side (if you increase the side by a factor of 10, the perimeter will also increase by a factor of 10); the area is proportional to the square of the side length (if you increase the length of a side by a factor of 10, the area will increase by a factor of 100).If you know the perimeter, divide it by 4 and then square the result, to get the area (A = (P/4)2); if you know the area, take the square root and then multiply by 4 to get the perimeter (P = root(A) x 4).There is no direct relationship. The perimeter is proportional to the length of the side (if you increase the side by a factor of 10, the perimeter will also increase by a factor of 10); the area is proportional to the square of the side length (if you increase the length of a side by a factor of 10, the area will increase by a factor of 100).If you know the perimeter, divide it by 4 and then square the result, to get the area (A = (P/4)2); if you know the area, take the square root and then multiply by 4 to get the perimeter (P = root(A) x 4).There is no direct relationship. The perimeter is proportional to the length of the side (if you increase the side by a factor of 10, the perimeter will also increase by a factor of 10); the area is proportional to the square of the side length (if you increase the length of a side by a factor of 10, the area will increase by a factor of 100).If you know the perimeter, divide it by 4 and then square the result, to get the area (A = (P/4)2); if you know the area, take the square root and then multiply by 4 to get the perimeter (P = root(A) x 4).There is no direct relationship. The perimeter is proportional to the length of the side (if you increase the side by a factor of 10, the perimeter will also increase by a factor of 10); the area is proportional to the square of the side length (if you increase the length of a side by a factor of 10, the area will increase by a factor of 100).If you know the perimeter, divide it by 4 and then square the result, to get the area (A = (P/4)2); if you know the area, take the square root and then multiply by 4 to get the perimeter (P = root(A) x 4).
What is the name of equivalent ratios?
Equivalent ratios are often referred to as "proportional ratios." These are ratios that express the same relationship between two quantities, even though the numbers may differ. For example, the ratios 1:2 and 2:4 are equivalent because they represent the same proportional relationship.
Which set of values describes two quantities that are in a proportional relationship?
Two quantities are in a proportional relationship if they maintain a constant ratio or rate. For example, if you have the values (2, 4) and (3, 6), the ratio of the first quantity to the second is the same for both pairs: 2:4 simplifies to 1:2, and 3:6 also simplifies to 1:2. Thus, any pair of values that can be expressed as k times the other (where k is a constant) indicates a proportional relationship.
What is the proportional relationship between 6 12 and 48?
It is: 1 2 and 8
What is the 2 quantities that have a constant rate or ratio?
Proportional
What are two ratios that name the same number?
Two ratios that name the same number are 1:2 and 2:4. Both ratios represent the same relationship between the quantities, as they can be simplified to the same fraction, 1/2. This demonstrates that different ratios can express the same proportional relationship.
What is proportional side lengths?
it is a relationship between the sides with respect to size, In maths it is a relationship between four numbers or quantities in which the ratio of the first pair equals the ratio of the second pair
What is two ratios that describe the same relationship?
Two ratios that describe the same relationship are 1:2 and 2:4. Both ratios represent the same proportional relationship, as they can be simplified to the same fraction (1/2). This means that for every 1 part of one quantity, there are 2 parts of another, and for every 2 parts of the first quantity, there are 4 parts of the second. Thus, they convey the same comparative relationship between the two quantities.
How can the term of a ratio be described as?
The term of a ratio can be described as the individual components or values that make up the ratio. For example, in the ratio 3:2, the terms are 3 and 2, representing the quantities being compared. Terms can also be referred to as the antecedent (the first term) and the consequent (the second term) in a ratio. Each term provides insight into the proportional relationship between the quantities involved.
When are 2 quantities proportional when it comes to a table or graph?
1) It has to go through the origin (0,0). 2) It has to be consistent.
What is the relationship between the energy of a system and its temperature when the system is at 3/2 kb t?
The relationship between the energy of a system and its temperature when the system is at 3/2 kb t is that the average energy of the system is directly proportional to the temperature. This relationship is described by the equipartition theorem in statistical mechanics.
What if ther was 18 boys and 9 girls what is the ratio?
The ratio of boys to girls in this scenario would be 2:1. This is determined by dividing the number of boys (18) by the number of girls (9), which simplifies to 2:1. Ratios represent the proportional relationship between two quantities and can be expressed in various forms, such as 2/1 or as a fraction.
What is the relationship between thrust and pressure?
thrust and pressure are dirrectly proportional 2 each other frm d formula pressure =perpendicular force /area
