Answer:
x = 21
Step-by-step explanation:
Givens:
Every triangle's interior angles add up to 180°
The triangle has a right angle.
The triangle is isosceles (two equal sides and two equal angles)
Let's make an equation with the information we have already.
2 × (2x + 3) + 90 = 180
4x + 6 + 90 = 180
4x + 96 = 180
4x = 84
x = 21
This can be solved by Newton's binomial formula
Tk+1 = (n k) a∧(n-k) b∧k k+1=7 => k=6, n=11 , a=-3x and b=-2y
T7= (11 6) (-3x)∧(11-6) (-2y)∧6 = (11*10*9*8*7)/(1*2*3*4*5) (-3x)∧5 (-2y)∧6
T7= 462 (-3x)∧5 (-2y)∧6
The correct answer is A.
Good luck!!!
Answer:
First Problem:
1/2 * -2 2/5 = 1/2 * -12/5 = -12/10
Simplify -12/10 into -6/5
Step-by-step explanation:
9514 1404 393
Answer:
20.6 km
Step-by-step explanation:
Using (East, North) coordinates, the hiker's position ends up being ...
22.2(cos(-45°), sin(-45°)) +40.1(cos(65°), sin(65°))
We're only interested in the second coordinate of this total, which is ...
22.2sin(-45°) +40.1sin(65°) ≈ -15.698 +36.343 = 20.645 . . . km
The y-component of the hiker's position at the end of the second day is 20.6 km north of her starting location.
Answer:
1/14
Step-by-step explanation:
Let A represent the event First person getting red velvet cake
Let B represent the event Second person getting red velvet cake
P(A) = Total number of Red Velvet Cakes ÷ Total Number of Cakes =
6/21 = 2/7
If the first person gets a red velvet cake, then there are 5 red velvet cakes and 20 total cakes
Therefore P(B|A) = Number of red velvet cakes left ÷ total number of cakes left = 5/20 = 1/4
P(A and B) == probability of both getting red velvet cake P(A∩B) = P(A).P(B|A) = 2/7 × 1/4 = 2/28 = 1/14
