Answer:
70
Step-by-step explanation:
I would do 40 + 30 = 70
180-70 = 110
110 is the last angle bc all angles add to 180 in a triangle
Then 180 - 110 = 70 for angle 1 because their supplementary
I don't know if you could just add the 2 inside angles but I would do it this way to be safe until I know for sure.
Answer: 11
Step-by-step explanation:
2 3/4 × 8 = p/4 × 8/1
Let p be the missing number
Convert the mixed fraction 2 3/4 to proper fraction, multiply 4 x 2, then add 3= 11/4
11/4 × 8 = p/4 ×8
p= 11
I hope this helps.
The function "choose k from n", nCk, is defined as
nCk = n!/(k!*(n-k)!) . . . . . where "!" indicates the factorial
a) No position sensitivity.
The number of possibilities is the number of ways you can choose 5 players from a roster of 12.
12C5 = 12*11*10*9*8/(5*4*3*2*1) = 792
You can put 792 different teams on the floor.
b) 1 of 2 centers, 2 of 5 guards, 2 of 5 forwards.
The number of possibilities is the product of the number of ways, for each position, you can choose the required number of players from those capable of playing the position.
(2C1)*(5C2)*(5C2) = 2*10*10 = 200
You can put 200 different teams on the floor.
Answer:
16 sqrt(30)
Step-by-step explanation:
2√20 × 4√6
Multiply
2*4 sqrt(20*6)
8 sqrt(120)
Simplifying
8 sqrt(4 *30)
We know sqrt(ab) = sqrt(a) sqrt(b)
8 sqrt(4) sqrt(30)
8 *2* sqrt(30)
16 sqrt(30)
Answer:
y = 9.8x + 6.7
y = 6.7x + 9.8
y = 7.5x + 3.8
y = 3.8x + 7.5
Step-by-step explanation:
I made 2represent x.
y= 9.8(2) + 6.7
y = 26.3
y=6.7(2) + 9.8
y= 23.2
y= 7.5(2) + 3.8
y= 18.8
y= 3.8(2) + 7.5
y= 15.1