Answer:
a^3+3a^2b+3a^2c+3ab^2+3ac^2+6abc+b^3+c^3+3bc^2+3b^2c if you want it expand
(a+b+c)(a+b+c)(a+b+c) is equal to (a+b+c)^3
Answer:
85°
Step-by-step explanation:
The triangle pictured is an isosceles triangle because side KJ = LJ.
this means that ∠JKL = ∠JLK = x°
Also recall that all interior angles of a triangle add up to 180°
Hence,
180° = ∠JKL + ∠JLK + ∠KJL
180 = x + x + 10
180 = 2x + 10 (subtract 10 from both sides and rearrange)
2x = 180 - 10
2x = 170 (divide both sides by 2)
x = 170 / 2 = 85°
Answer:
If it is less than 3, Player 1 earns 3 points.
If not, Player 2 earns 2 points.
Step-by-step explanation:
<u>Player 1</u> :
p(N < 3) = p(N = 1 or N = 2) = 2/5
<u>Player 2</u> :
p(N ≥ 3) = p(N = 3 or N = 4 or N = 5) = 3/5
<u>We notice that</u> :
p(N < 3) × 3 = (2/5) × 3 = 6/5
On the other hand,
p(N ≥ 3) × 2 = (3/5) × 2 = 6/5
since ,the probability player 1 win multiplied by the associated number of points (3)
is equal to
the probability player 2 win multiplied by the associated number of points (2).
Then the game is fair.
At first, we need to find x.
QR = LN
2x+1 = 3x-7
x=8
Substitute value of a=8 into QR = 2x+1.
QR = 2*8+1 = 17
QR =17
Using <u>distance between two points</u>, it is found that the total distance covered on the tour is of 3400 miles.
Given two points 
and 
, their distance is given by:
In this problem, the formula is used to find the distance covered on each tour, hence:
Then, the total <em>distance </em>is given by the sum of each separate distance, hence:
The total distance covered on the tour is of 3400 miles.
You can learn more about <u>distance between two points</u> at brainly.com/question/25929988
