Answer: x² + 5x = 3
Step-by-step explanation:Step-by-step explanation:
The rectangle has been divided into a square and three rectangles.
The area of
a square = (x)(x) = x²
a rectangle #1 = (2)(x) = 2x
a rectangle #2 = (3)(x) = 3x
a rectangle #3 = (2)(3) = 6
The area of a large rectangle is the sum of the square area and three rectangles, and is 9 cm². Therefore we have the equation:
x² + 2x + 3x + 6 = 9 subtract 6 from both sides
x² + 5x + 6 - 6 = 9 - 6
x² + 5x = 3
The volume of the triangular prism is:
V = (1/2) * (b) * (h) * (H)
Where,
b: base of the triangle
h: triangle height
H: prism height
Substituting:
V = (1/2) * (9) * (12) * (19)
V = 1026 cm ^ 3
The volume of the cylinder is:
V = (pi) * (r ^ 2) * (h)
Where,
r: radio
h: height
Substituting:
V = (3.14) * ((14/2) ^ 2) * (11)
V = 1692.46 yd^3
7.25$ for one box of paper
Explanation: divide 14.50 by 2
An algebraic expression for t times 6 is 6t.