Answer: x = -8
Step-by-step explanation: To solve for <em>x</em> in this equation, our first task is to simplify the left side by distributing the 12 through both terms inside the parentheses.
When we do that, we get 12 times x which is
12x and 12 times 10 which is 120.
So we have 12x + 120 = 24.
Our next task is to isolate the x term by subtracting 120 from both sides of the equation. On the left, 120 - 120 cancels and we're left with 12x. On the right, 24 - 120 simplifies to -96 so we have 12x = -96.
To get <em>x</em> by itself, we divide both sides by 12 and <em>x = -8</em>.
Work is also attached in the image provided.
Since all the volume of the liquid will be contained by all 30 spheres then,
30 V = 3392.92
where V is the volume of each sphere
Solving for V
V = 113.0973
The formula for the volume of the sphere is:
V = (4/3) π r³
Since diameter, D = 2r
V = (4/3) π (D/2)³
V = (4/3) π (1/8) D³
V = (1/6) π D³
Since V = 113.0937
113.0937 = (1/6) π D³
D = 6
Therefore, the diameter is 6 inches (THE THIRD OPTION)
Answer:
562.5
Step-by-step explanation:
A = ½ (10 m/s + 35 m/s) (25 s)
Answer:
D
Step-by-step explanation:
Because both triangle contain angle