Introduction of geometry proportions:-
In mathematics, Proportions in arithmetic and geometry, a particular relation between groups of numbers or quantities. In arithmetic, proportions are the equality of ratios; ratio is the division of one number by another. A continued proportions is a property of every three terms in a geometric progression. A proportions is a statement that two ratios are equal such as a:b = c:d.
Example problem for geometry proportions:-
Problem1:
Are the ratios 30g: 40g and 48 kg: 72 kg in geometry proportions?
Solution:
30 g: 40 g =30 / 40 = 3 / 4
= 3: 4
48 kg: 72 kg = 48 / 72 = 4 / 6
= 4: 6 So, 30: 40 = 48: 72.
Therefore, the ratios 30 g: 40 g and 48 kg: 72 kg are in geometry proportions,
i.e. 30 : 40 :: 48 : 72.
The middle terms in this are 40, 48 and the extreme terms are 30, 72.
Problem 2:
Do the ratios 30 cm to 4 m and 20 sec to 5 minutes form a geometry proportions?
Solution:
Ratio of 30 cm to 4 m = 30: 4 × 100 (1 m = 100 cm)
= 3: 40
Ratio of 20 sec to 5 min = 20: 5 × 60 (1 min = 60 sec)
= 20: 300
= 1:15
Since, 3: 40 ≠ 1: 15, therefore, the given ratios do not form a geometry proportions.
Problem 3:
Sam works as a dental hygienist. Last week Sam ade 500 for 20 hours of work How many hours must Sam work in order to make 800?
Solution:
Sam works as a dental hygienist
50020hours=800 / x hours
20 hours * $800 = x hours * $500
16000 = $500 x
16000 / 500 = x
32 = x
Sam 32 hours work in order to make $800
I have recently faced lot of problem while learning how to solve math problems, But thank to online resources of math which helped me to learn myself easily on net.
Practice problems for Geometry proportions problems:
Problem 1:
Gabriella bought five cantaloupes for 3 How many can taloupes can Shayna buy if she has21?
Answer: 35 gabriella
Problem 2:
If you can buy one can of pineapple chunks for 5 then how many can you buy with 10 ?
Answer: 50 pineapple chunks
Problem 3:
If you can buy four bulbs of elephant garlic for 12 then how many can you buy with 96?
Answer: 8 bulbs
Problem 4:
One package of blueberries costs 6 How many packages of blueberries can you buy for 42?
Answer: 7 blueberries
In mathematics, Proportions in arithmetic and geometry, a particular relation between groups of numbers or quantities. In arithmetic, proportions are the equality of ratios; ratio is the division of one number by another. A continued proportions is a property of every three terms in a geometric progression. A proportions is a statement that two ratios are equal such as a:b = c:d.
Example problem for geometry proportions:-
Problem1:
Are the ratios 30g: 40g and 48 kg: 72 kg in geometry proportions?
Solution:
30 g: 40 g =30 / 40 = 3 / 4
= 3: 4
48 kg: 72 kg = 48 / 72 = 4 / 6
= 4: 6 So, 30: 40 = 48: 72.
Therefore, the ratios 30 g: 40 g and 48 kg: 72 kg are in geometry proportions,
i.e. 30 : 40 :: 48 : 72.
The middle terms in this are 40, 48 and the extreme terms are 30, 72.
Problem 2:
Do the ratios 30 cm to 4 m and 20 sec to 5 minutes form a geometry proportions?
Solution:
Ratio of 30 cm to 4 m = 30: 4 × 100 (1 m = 100 cm)
= 3: 40
Ratio of 20 sec to 5 min = 20: 5 × 60 (1 min = 60 sec)
= 20: 300
= 1:15
Since, 3: 40 ≠ 1: 15, therefore, the given ratios do not form a geometry proportions.
Problem 3:
Sam works as a dental hygienist. Last week Sam ade 500 for 20 hours of work How many hours must Sam work in order to make 800?
Solution:
Sam works as a dental hygienist
50020hours=800 / x hours
20 hours * $800 = x hours * $500
16000 = $500 x
16000 / 500 = x
32 = x
Sam 32 hours work in order to make $800
I have recently faced lot of problem while learning how to solve math problems, But thank to online resources of math which helped me to learn myself easily on net.
Practice problems for Geometry proportions problems:
Problem 1:
Gabriella bought five cantaloupes for 3 How many can taloupes can Shayna buy if she has21?
Answer: 35 gabriella
Problem 2:
If you can buy one can of pineapple chunks for 5 then how many can you buy with 10 ?
Answer: 50 pineapple chunks
Problem 3:
If you can buy four bulbs of elephant garlic for 12 then how many can you buy with 96?
Answer: 8 bulbs
Problem 4:
One package of blueberries costs 6 How many packages of blueberries can you buy for 42?
Answer: 7 blueberries
No comments:
Post a Comment