Answer:
slope: 2/5
Step-by-step explanation:
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
Answer:
120 degrees
Step-by-step explanation:
Answer:
x = 1/3
Step-by-step explanation:
Step 1: Write equation
8x + 11 = 14 - 1x
Step 2: Solve for <em>x</em>
- Simplify: 8x + 11 = 14 - x
- Add x to both sides: 9x + 11 = 14
- Subtract 11 on both sides: 9x = 3
- Divide both sides by 9: x = 3/9
- Simplify: x = 1/3
Step 3: Check
<em>Plug in x to verify it's a solution.</em>
8(1/3) + 11 = 14 - 1(1/3)
8/3 + 11 = 14 - 1/3
41/3 = 41/3
