Let's imagine we enclosed the entire shape in a 15 inch wide, 21 inch tall rectangle, area 315 sq inches.
From that rectangle we have to take away the 3x6 bottom left corner, and a strip 21-6=15 inches long and 3 inches wide on the right.
A = 15×21 - 3×6 - 3×15 = 315 - 63 = 252 sq in
Answer: D. 252 inches squared, last choice
The distributive property is being displayed here. The distributive property shows if you have a problem like 3(a+c), it can be converted into 3a+3c. It shows itself in this because it is distributing -2 to both a and b.
Answer: The distributive property is being shown here.
Hope I helped!
Answer:
<em>500πx³y³z³ </em>
Step-by-step explanation:
Volume of a sphere = 4πr³
r is the radius of the sphere
Given
Diameter of the sphere = 10xyz mm
Radius = diameter/2
Radius = 10xyz/2
Radius = 5xyz
Substitute the radius into the formula
Volume of the sphere = 4π(5xyz)³
Volume of the sphere = = 4π(125)x³y³z³
Volume of the sphere = 500πx³y³z³
<em>Hence the volume of the sphere is 500πx³y³z³ mm³</em>
This is called a difference of squares which always factors according to the rule for factoring the difference of squares....
(a^2+b^2)=(a+b)(a-b) in this case:
9w^2-16 so
(3w-4)(3w+4)