Answer:
<h2> A = 27(2√3-π) cm² ≈ 8.71 cm²</h2>
Step-by-step explanation:
Area of shaded region it is area of hexagon minus area of circle.
A regular hexagon is comprised of six equilateral triangles (of the same sides).
So its area: 
{S = side of the triangle}
Height (H) of such a triangle is equal to radius (R) of a circle inscribed in the hexagon:
Area of shaded region:
S = 6 cm
so:
Answer:
80,000
Step-by-step explanation:
The 8 in the expression = 8,000
If we multiply 8,000 by 10 it would give us 80,000
easy :)
Sub y in the second equation by y in the first equation:
We get 4x+3(-3x+3)=-1
4x-9x+9=-1
-5x=-10
x=2
Sub in the first equation
y=-3(2)+3
y=-3
I would say the first option
Answer:
3/4
Step-by-step explanation:
Probability is the likelihood of an event.
No.of favourable outcomes/ Total no. of outcomes
Probability of coin selection : [Both coins have equal likelihood of being chosen]
- Prob( Coin A Selection) = 1/2
- Prob (Coin B selection) = 1/2
Probability of head & tail by both coins :
- Prob (Head / Coin A) = 1/4
- Prob (Tail / Coin A) = 1 - [ P (Head/Coin A) ] = 1 - 1/4 = 3/4
- Prob (Head / Coin B) = 3/4
- Prob (Tail / Coin B) = 1 - [ P (Head/Coin B) ] = 1 - 3/4 = 1/4
Probability of getting head by Coin A : Prob (Coin A) & Prob (Head/CoinA) = 1/2 x 1/4 = 1/8
Probability of getting tail by Coin A : Prob (Coin A) & Prob (Tail/CoinA) = 1/2 x 3/4 = 3/8
Probability of getting head by Coin B : Prob (Coin B) & Prob (Head/CoinB) = 1/2 x 3/4 = 3/8
Probability of getting tail by Coin B : Prob (Coin B) & Prob (Head/CoinB) = 1/2 x 1/4 = 1/8
Probability 'The guess [head from coin B, tail from coin A] :
Prob (Coin A) & Prob (Tail/CoinA) or Prob (Coin B) & Prob (Head/CoinB)
= 3/8 + 3/8 = 3/4
