5. The property depicted in the expression 2/( 3) ×(1/3+ 4/5)=(2/3 × 1/3)+(2/3 × 4/5) is * associative property of addition
associative property of multiplication
distributive property of multiplication
closure property of multiplication

distributive property of multiplication over addition

Step-by-step explanation:

a(b + c) = ab + ac

The a to the left of the parentheses multiplies both numbers inside the parentheses. The you add the products.

This is the distributive property of multiplication over addition.

2/3 × (1/3 + 4/5) = (2/3 × 1/3) + (2/3 × 4/5)

The 2/3 to the left of the parentheses multiplies both numbers inside the parentheses. The you add the products.

This is the distributive property of multiplication over addition.

The radius is 10 ft.

Step-by-step explanation:

Given,

The volume (V) of the cone = 733 ft³

Height (h) = 7 ft

To find the radius (r) of the cone.

Formula

The volume of the cone is = πr²h

According to the problem,

πr²h = 733

or,  ××r²×7 = 733

or, r² =

or, r² = 99.9 = 100 (approx)

or, r = = 10

Hence,

The radius is 10 ft.