The third one, 2 to the power of 5 over 6
√2 * 3√2
convert from radical form to exponent form to solve for the same root
( x^m/n = n√x^m )
2^(1/2) * 2^(1/3)
2^{3/6} * 2^{2/6} - find common denominator (6)
6√(2^3) * 6√(2^2) - convert back to radical form
6√(2^3 * 2^2)- combine
6<span>√(</span>2^5)
then convert to exponential form again
~ 2^5/6 ~
Answer:
Step-by-step explanation:
we know that
The volume of a trough is equal to
where
B is the area of equilateral triangle
L is the length of a trough
step 1
Find the area of equilateral triangle B
The area of a equilateral triangle applying the law of sines is equal to
where
substitute
step 2
Find the volume of a trough
we have
substitute
Answer:
e = 1/2
Step-by-step explanation:
to solve foe e in this 4/3=-6e-5/3
solution
4/3=-6e-5/3
4/3 + 5/3 = 6e
find the lcm of the left hand side
4 + 5/3 = 6e
9/3 = 6e
cross multiply
3 x 6e = 9 x 1
18e = 9
divide both sides by the coefficient of e which is 18
18e /18 = 9/18
e = 1/2
therefore the value of e in the expression above is evaluated to be equals to 1/2
Answer:
19/18
Step-by-step explanation:
simplify x/3
simplify 5/6
simplify 7/9
Answer: 3,140 radians per minute.
Step-by-step explanation:
We know that the wheel does 500 revolutions per minute.
This is called the frequency of the wheel, and this is written as:
f = 500 rev/min = 500 RPM
The angular speed (or Angular velocity) is written as
ω = 2*pi*f
And this quantity is in radians/unit of time.
where pi = 3.14
then:
ω = 2*3.14*500 (rev/min)*(rad/rev) = 3,140 rad/min
This means that the angular velocity (or angular speed) is 3,140 radians per minute.
