The angular velocity is the linear speed divided by the radius.
ω = d/(t*r) = (14.13 ft)/((3 s)*(6 ft))
ω = 0.785 radians/second
There are 180/π degrees per radian, so the angular velocity can also be written as ...
ω = 45 degrees/second
The next step of your proof is to subtract (a/b) from both sides.
Then you get, x = (m/n) - (a/b)
Since rationals are closed over addition, (m/n) + (-a/b) is a rational number.
Therefore, x (an irrational number) = a rational number <em>This is a false statement which is a contradiction. So, the assumption was incorrect.</em>
Thus, the sum of a rational and irrational number is an irrational number. QED
Answer:
Hence x = y = 2
Step-by-step explanation:
Using the SOH CAH TOA identity
Hypotenuse = 2√2
Opposite = x
theta = 45
Sin theta = opp/hyp
Sin 45 =x/2√2
1/√2 = x/2√2
x = 2√2 * 1/√2
x = 2
To get y we will use the pythagoras theorem;
(2√2)² = x² +y²
(2√2)² = 2²+y²
8 = 4 + y²
y² = 8-4
y² = 4
y = √4
y = 2
Hence x = y = 2
Answer:
V = 32/3 pi
Step-by-step explanation:
The volume of a sphere is given by
V= 4/3 pi r^3
We know the radius is 2
V = 4/3 pi (2)^3
V = 4/3 pi (8)
V = 32/3 pi
Answer:
28/53
Step-by-step explanation:
Hey There!
So they want us to find the sine of angle S
well remember is sohcahtoa
S - sine
O - opposite
H - hypotenuse
meaning that
The opposite side of angle S is 28 and the hypotenuse is 53
so 
