Answer:
x^2 -3x +15
Step-by-step explanation:
7x^2 +6x -9x - 6x^2 +15
Combine like terms
7x^2 - 6x^2 +6x -9x +15
x^2 -3x +15
Answer:
1/5525 ≈ 0.018%
Step-by-step explanation:
There are 4 kings in a standard deck of 52 cards.
The probability that the first card is a king is 4/52.
The probability that the second card is also a king is 3/51 (the first king isn't replaced, so there's one less king and one less card in the deck).
The probability that the third card is a king is 2/50.
The probability of choosing 3 king cards is therefore:
P = (4/52) (3/51) (2/50)
P = (1/13) (1/17) (1/25)
P = 1/5525
P ≈ 0.018%
6²=36
7²=49
✓45 is between 6 and,,7
Answer:
The length of the arc is 221π/18 ft or 38.55 ft
Step-by-step explanation:
Given
Subtended angle, θ = 17π/18
Radius, r = 13 ft
Required
Length of the arc.
When an angle is given in radians, the length of the arc is calculated using the formula below
Length = rθ
By substituting
Length = 13 * 17π/18
Length = 221π/18
The answer can be left in this form.
But for simplification purpose, I'll solve further.
Taking π as 3.14
Length = 221 * 3.14/18
Length = 693.94/18
Length = 38.552222
Length = 38.55 ft (Approximated).
Hence, the length of the arc is 221π/18 ft or 38.55 ft
