The situation with an expression involving signed numbers is w - 12 + 4 3/8 and the overall change in Sara’s weight is -7 5/8 pounds
<h3>Represent this situation with an expression involving signed numbers. </h3>
Let Sara's initial weight be w.
The given parameters are:
Lost = 12 pounds
Gain = 4 3/8 pounds
The situation with an expression involving signed numbers is represented as:
Weight = Initial - Lost + Gain
So, we have:
Weight = w - 12 + 4 3/8
<h3>What is the overall change in Sara’s weight?.</h3>
In (a), we have:
Weight = w - 12 + 4 3/8
The overall change is:
Change = - 12 + 4 3/8
Evaluate
Change = -7 5/8
Hence, the overall change in Sara’s weight is -7 5/8 pounds
Read more about sum and difference at:
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The length of arc AB is 9.12 mm:
We first calculate for the radius r of the circle using the equation
r = c/(2 sin[theta/2])
where c is the length of chord AB that is given as 9 millimeters
angle given is 32 degrees
To convert theta 32 degrees into radians:
32 degrees * (pi/180) = 32 degrees * (3.14/180) = 0.5583 radians
We now substitute the values into the equation to find the radius r:
r = 9/(2 sin[0.5583/2])
r = 16.33 mm
.
We can finally solve for the length s of arc:
s = r theta = 16.33 * 0.5583 = 9.12 mm
Answer:
no
Step-by-step explanation:
