Answer:
B. -10
Step-by-step explanation:
The first one has got a result different from -12 or -10
Answer:
S = 38.4 centimeters.
Step-by-step explanation:
<u>Given the following data;</u>
- Radius, r = 12 cm
- Angle = 3.2 rads
To find the length of the arc of a circle;
A full circle measures an angle of 360 degrees.
π = 180°
So; Angle, A = 360° = 2π
Therefore, a full circle is equal to 2π in terms of radians (rads).
Also, the circumference (the length of an arc) of a circle is equal to 2πr or Ar.
Mathematically, the length of the arc of a circle is given by the formula;
S = rA
Where;
- S is the length of the arc.
- A is the angle measured in radians.
Substituting into the formula, we have;
S = 12 * 3.2
<em>S = 38.4 centimeters.</em>
3 gallons would best describe the amount of water in a bucket.
<h3>
12 = -5x/4 - 8</h3>
Multiply both sides of the equation by 4.
<h3>48 = −5x − 32</h3>
Swap the sides so that all variable terms are on the left side.
<h3>−5x − 32 = 48</h3>
<em>Add 32 to both sides.</em>
<h3>−5x = 48 + 32</h3>
<em>Add 48 and 32 to get 80.</em>
<h3>−5x = 80</h3>
<em>Divide both sides by −5.</em>
<h3>x = 80/-5</h3>
<em>Divide 80 by −5 to get −16.</em>
<h3>x= −16</h3>
