Answer:
diameter = 2.5 feet
Step-by-step explanation:
Circumference of a circle is given as C = πd
Circumference of the tree trunk = 7.85 ft
π = 3.14
Diameter of the tree trunk = d
Thus:
7.85 = 3.14*d
Divide both sides by 3.14
7.85/3.14 = 3.14*d/3.14
2.5 = d
d = 2.5 ft
<h3>
Answer:</h3>
5 units
<h3>
Step-by-step explanation:</h3>
A point 4 up and 3 over from its original location has moved a distance that can be found using the Pythagorean theorem.
... d² = 4² +3² = 16 +9 = 25
... d = √25 = 5 . . . . units
Separate the variables:

Separate the left side into partial fractions. We want coefficients a and b such that





So we have

Integrating both sides yields






With the initial condition y(0) = 1, we find

so that the particular solution is

It's not too hard to solve explicitly for y; notice that

Then






11tens the plus together equals to 110