Question

A. Very short answer type questions :
(i) What is the mean proportional between 8 and 18.
(ii) a:b, a is called __________.
(iii) Express 24:40 in simplest form.
(iv) Product of means =__________

Answer 1

Answer:

1. 12
2. Antecedent or first term
3. 3:5
4. The product of the extremes

Step-by-step explanation:

1. To find the mean proportional between 8 and 18, first multiply the two given numbers together, then find the square root out of their product.  So, 12 is the mean proportional between 8 and 18.
2. In the ratio a : b, a and b are called terms of the ratio, a is called the antecedent or first term, and b is called the consequent or second term. Then, ratio of two quantities = antecedent : consequent
3. 3:5 is the simplest form.
4. The product of the means equals the product of the extremes. That is, ad=bc. We can get an equivalent result using a technique called cross multiplication

Answer 2

Step-by-step explanation:

i) 12

ii) Antecedent or first term

iii) 3:5

iv) the product of the extremes