Assuming that "piece" refers to the plywood, not the fabric. Very poorly stated
question. Rectangle 1:12 3/4 square inches = 12.75 sq in; 2 1/8 in = 2.125 in;
12.75 sq in / 2.125 in = 6 in.
Rectangle 2: 2 1/10 in = 2.1 in; 12.75 sq in / 2.1 in = 6.07143..., rounded to 6.1 in; OR 12 3/4 sq in = 51/4 sq in; 2 1/10 in = 21/10 in; 51/4 sq in / 21/10 in = 51/4 * 10/21 = 510/54 in = 85/14 in.
Answer:
Nine hundred seven hundred thousand and three
Step-by-step explanation:
Given:
<span>tan(B/2) = sec(B) / (sec(B) * csc(B) + csc(B)) </span>
<span>Apply the half angle formula to convert tan(B/2) to terms of B: </span>
<span>sin(B) / (1+cos(B)) = sec(B) / (sec(B) * csc(B) + csc(B)) </span>
<span>Convert everything else to be in terms of sin and cos: </span>
<span>sin(B) / (1+cos(B) = (1/cos(B)) / ((1/cos(B)) * (1/sin(B)) + (1/sin(B))) </span>
<span>Multiply right side by "sin(B)/sin(B)" to simplify the fractions: </span>
<span>sin(B) / (1+cos(B) = (sin(B)/cos(B)) / ((1/cos(B)) + 1) </span>
<span>Change "1" to cos(B)/cos(B) and then combine over </span>
<span>common denominator: </span>
<span>sin(B) / (1+cos(B) = (sin(B)/cos(B)) / ((1/cos(B)) + cos(B)/cos(B)) </span>
<span>sin(B) / (1+cos(B) = (sin(B)/cos(B)) / ((1+cos(B))/cos(B)) </span>
<span>Dividing by a fraction equals multiplying by its reciprocal: </span>
<span>sin(B) / (1+cos(B) = (sin(B)/cos(B)) * (cos(B) / (1+cos(B))) </span>
<span>Multiply terms on the right side (canceling cos(B) terms): </span>
<span>sin(B) / (1+cos(B) = sin(B) / (1+cos(B)) </span>
Answer:
The magnitude of the electric force between these two objects
will be: 181.274 N.
i.e. F 
N
Step-by-step explanation:
As
Two object accumulated a charge of 4.5 μC and another a charge of 2.8 μC.
so
q₁ = 4.5 μC = 4.5 × 10⁻⁶ C
q₂ = 2.8 μC = 2.8 × 10⁻⁶ C
separated distance = d = 2.5 cm
Calculating the magnitude of the force between two charged objects using the formula:
∵ 
∵ 
∵ 
∵ 
F N
Therefore, the magnitude of the electric force between these two objects will be: 181.274 N.
i.e. F N
Answer:
77 with a remainder of 8
Step-by-step explanation:
