9!/(8!*(9-8)!)=9
or just use a calculator and use the nCr function
Answer:
cos(θ) = 3/5
Step-by-step explanation:
We can think of this situation as a triangle rectangle (you can see it in the image below).
Here, we have a triangle rectangle with an angle θ, such that the adjacent cathetus to θ is 3 units long, and the cathetus opposite to θ is 4 units long.
Here we want to find cos(θ).
You should remember:
cos(θ) = (adjacent cathetus)/(hypotenuse)
We already know that the adjacent cathetus is equal to 3.
And for the hypotenuse, we can use the Pythagorean's theorem, which says that the sum of the squares of the cathetus is equal to the square of the hypotenuse, this is:
3^2 + 4^2 = H^2
We can solve this for H, to get:
H = √( 3^2 + 4^2) = √(9 + 16) = √25 = 5
The hypotenuse is 5 units long.
Then we have:
cos(θ) = (adjacent cathetus)/(hypotenuse)
cos(θ) = 3/5
The first number is 27 and the second number is 45 so the ratio would be 27;45
Answer:
160 total beads
Step-by-step explanation:
so if 1/4 of the beads are red, then 3/4 of them are not.....so 3/4 is the remainder of beads.....and 3/5 of the remainder are yellow....so 3/5 of 3/4 =
3/5 * 3/4 = 9/20...so 9/20 are yellow.....and the rest (48) are blue.
1/4 + 9/20 = 5/20 + 9/20 = 14/20 reduces to 7/10...so 7/10 of the beads are red and yellow
so if 7/10 of the beads are red and yellow, then 3/10 are blue
3/10 of what number is 48
3/10x = 48
x = 48 * 10/3
x = 480/3
x = 160
let me check it..
1/4 are red......160 total beads.....so red beads = (1/4 * 160) = 160/4 = 40
3/5 of the remainder is yellow.....so 3/5 of (160 - 40) = 3/5(120) = 72 yellow
and then u have 48 blue...
40 + 72 + 48 = 160
so there are 160 total beads.......40 red, 72 yellow, and 48 blue <===