The constant pi is by definition the ratio of the circumference to the diameter.
π=C/d
Answer:
f(x)=-1/2x+3
Step-by-step explanation:
In this problem, the student is running a 3-kilometer race.
This means that the total length of the race is 3 km.
We also know that the student runs 1 kilometer every 2 minutes. For a uniform motion, the speed is given by

where in this case,
d = 1 km is the distance
t = 2 min is the time
So the speed is

We can therefore write the distance covered by the student (from the starting line) after x minutes as

However, here we want to write an expression for the distance of the student from the finish line.
Since the distance from the finish line at x = 0 is 3, therefore the distance from the finish line after x minutes is:
d = 3 - y'
So

which corresponds to the option:
f(x)=-1/2x+3
Answer:
It is a Right Triangle.
Step-by-step explanation:
30^2 = 900
24^2 = 576
18^2 = 324
576 + 324 = 900
This satisfies the Pythagoras theorem so it is a Right Triangle.
Answer:
hello your question is incomplete here is the complete question
Use cylindrical coordinates Find the volume of the solid that lies within both the cylinder x^2 + y^2=16 and the sphere x^2 + y^2 + Z^2= 81
Answer : ![\frac{4 \pi }{3} [729 - 65\sqrt{65} ]](https://tex.z-dn.net/?f=%5Cfrac%7B4%20%5Cpi%20%7D%7B3%7D%20%5B729%20-%2065%5Csqrt%7B65%7D%20%5D)
Step-by-step explanation:
The given data
cylinder = x^2 + y^2 = 16
sphere = x^2 + y^2 +z^2 = 81
from the given data the solid is symmetric around the xy plane hence we will calculate half the solid volume above the plane then multiply the sesult by 2
Note : we are restricting our attention to the cylinder x^2 + y^2 = 16 and also finding the volume inside the sphere which gives bound on the z-coordinate as well
the r parameter goes from 0 to 4
ATTACHED IS THE REMAINING PART OF THE SOLUTION
showing the integration
Answer:
The area of circle A is 16 times the area of circle B.
Step-by-step explanation:
he area of circle A is three times the area of circle B.
It depends on the value of π.
It depends on the actual diameters of the circles.
The area of circle A is 16 times the area of circle
the circumference of a circle = 2 x pi x r
Let imagine that the radius of B is 2cm
then the circumference of B = 2 x 2 x pi = 4pi
If the circumference of a is 4 times that of B, it means the circumference is 16 and the radius is 8
Area of a circle is pi x r^2
Area of B = pi x 2^2 = 4pi
Area of A = pi x 8^2 = 64pi
64/4 = 16 pi