Answer: 120
Step-by-step explanation:
From the question, we are informed that there are 10 people in a math club and that three people will be chosen for the Pi Day committee.
The number of different ways that the club members can structure the committee goes thus:
This can be solved by:
nCr = n! / r! (n - r)!
where n = 10
r = 3
= n! / r! (n - r)!
= 10! / 3! (10 - 3)!
= (10 × 9 × 8) / (3 × 2)
=120
Answer:
x = -8
Step-by-step explanation:
g(x) = 8x + 2
given: g(x) = 8x + 2 = -62
8x = -62 -2
8x = -64
x = -8
9514 1404 393
Answer:
y = 8√3
Step-by-step explanation:
In the 30°-60°-90° "special" triangle, the ratio of sides lengths is ...
1 : √3 : 2 = 8 : y : hypotenuse
In order for these ratios to be equal, we must have ...
y = 8√3
__
If you want to solve this using your trig skills, you recognize that ...
Tan = Opposite/Adjacent
tan(30°) = 8/y
y = 8/tan(30°) . . . . where tan(30°) = 1/√3
y = 8√3
Let us draw a picture to make the things more clear.
Attached is the image.
We have been given that
Therefore, we have
Now, in triangle bcd, we have
Now, in triangle acb, we have
Thus, ad is 15 cm.
