Answer:
x = 18.5
Step-by-step explanation:
Given
+ 
= 10
Multiply through by 4 to clear the fractions
2x + 3 = 40 ( subtract 3 from both sides )
2x = 37 ( divide both sides by 2 )
x = 
= 18.5
Volume of one cubic block = (1/6)^3 = 1/216 cu ins
Volume of the prism = 1/3 * 2/3 * 2/3 = 4/27 cu ins
Number of blocks to fill prism = 4/27 / 1/216 = (216*4) / 27 = 32
Answer:
Triangle B is right
Step-by-step explanation:
Using the converse theorem of Pythagoras.
If the square of the longest side in a triangle equals the sum of the squares of the other 2 sides then the triangle is right.
Triangle A
longest side squared = 36² = 1296
26² + 18² = 676 + 324 = 1000 ≠ 1296
Hence triangle A is not right
Triangle B
longest side squared = 25² = 625
20² + 15² = 400 + 225 = 625 ← correct
Hence triangle B is right
