Answer:
C) 960
Step-by-step explanation:
Let's expand the factorial.
n! = 1*2*3*4*...n
6! = 1*2*3*4*5*6
3!= 1*2*3
The given expression
=
Canceling out the common terms, we get
=
= 8.4.5.6 [here . represents multiplication]
= 960
Answer: C) 960
Thank you.
Answer:
Our fourth number is 52.
Step-by-step explanation:
Let our first even number be <em>x</em>.
Then the second even number must be (<em>x</em> + 2), the third (<em>x</em> + 4), fourth (<em>x</em> + 6), and the fifth (<em>x </em>+ 8).
They sum to 250. Hence:
Solve for <em>x</em>. Combine like terms:
Subtract 20 from both sides:
And divide both sides by five. Hence:
Thus, our sequence is 46, 48, 50, 52, and 54.
Hence, our fourth number is 52.
Answer/Step-by-step explanation:
✔️Find k:
Reference angle = 60°
Hypotenuse = k
Opposite = 9
Therefore, using trigonometric ratio, we have:
Multiply both sides by k
Divide both sides by sin(60)
Rationalize
✔️Find f:
Reference angle = 60°
Opposite = 9
Adjacent = f
Therefore, using trigonometric ratio, we have:
Multiply both sides by f
Divide both sides by tan(60)
Rationalize