I hope this helps you
n!/(n-3)!=3.n!/(n-2)!
3. (n-3)!=(n-2)(n-3)!
3=n-2
n=5
Answer:
x = 4
Step-by-step explanation:
I'd suggest you write (1/24)x = 1/6 to avoid any ambiguity about the coefficient of x.
Multiplying both sides by 24 (the LCD) will eliminate the fractions:
24(1/24)x = 24/6, or x = 4.
Answer: 20 days
Step-by-step explanation:
Since the sale agent makes 40 calls a day and about 15% he calls result in a sale. This means the number of sales will be:
= 15% × 40
= 0.15 × 40
= 6
6 sales out of every 40 calls per day.
The number of calls to make 120 sales will be:
= 15% of x = 120
0.15 × x = 120
0.15x = 120
x = 120/0.15
x = 800 calls
Since he needs 800 calls and he makes 40 calls per day, the number of days needed will be:
= 800/40
= 20 days
The height of the right triangle is 8.08
<h3>Calculating the height of a triangle </h3>
From the question, we are to determine the height of the described right triangle
From the given information,
The angle measure is 30 degrees adjacent to the base
and
The base is 14
Using SOH CAH TOA
Adjacent = 14
Opposite = height of the triangle
Let the height the h
∴ Opposite = h
Thus,
tan 30° = h/14
h = 14 × tan 30°
h = 8.08
Hence, the height of the right triangle is 8.08
Learn more on Calculating height of triangle here: brainly.com/question/10082088
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