Answer:
He loses 7 pounds per week
Step-by-step explanation:
After 3 weeks he weighs 188 pounds.
After 6 weeks he weighs 167 pounds.
Weight loss = (188 - 167) pounds = 21 pounds
Time interval = 6 weeks - 3 weeks = 3 weeks
Rate of change = Weight loss ÷ time interval = pounds per week = 7 pounds loss per week.
Given:
The vertices of a parallelogram are P(1,2,1), Q(1,0,-1), R(2,2,0).
PQ and PR are the adjacent sides of the parallelogram.
To find:
The coordinates of vertex S.
Solution:
We know that, the diagonals of a parallelogram bisect each other.
Let the coordinates of the vertex S are (a,b,c).
In the given parallelogram PS and QR are the diagonals. It means their midpoints are same.
On comparing both sides, we get
Similarly,
And,
Hence, the coordinates of vertex S are (2,0,-2).
the approximate circumference of a lid that will fit his frying is 34.5 inches .
<u>Step-by-step explanation:</u>
Here we have , Jonathan wants to buy a lid for his frying pan. The diameter of the pan is 11 inches. We need to find What is the approximate circumference of a lid that will fit his frying . Let's find out:
We know that a lid for his frying pan is basically in shape of circle , So we consider a lid for his frying pan as a circle ! Now ,
Circumference of circle = , r = radius
⇒
⇒
⇒ , D = Diameter = 11 inches
⇒
⇒
⇒
Therefore , the approximate circumference of a lid that will fit his frying is 34.5 inches .