Answer:
24 cm
Step-by-step explanation:
The altitude from the centre to the chord is 5 cm and bisects the chord.
The radius of the circle is 26 cm ÷ 2 = 13 cm
There is a right triangle formed with legs 5 and x ( x is half the chord )
The hypotenuse is the radius, then using Pythagoras' identity
x² + 5² = 13²
x² + 25 = 169 ( subtract 25 from both sides )
x² = 144 ( take the square root of both sides )
x =
= 12
Then
length of chord = 2x = 2 × 12 = 24 cm
4/5A=1/2M
4/5Ax2=1/2Mx2
8/5A=1M
1 of M = 8/5 of A
Answer: 0.00000565
Step-by-step explanation:
Required to win:
6 number match $10,000
5 number match $ 5,000
4 number match $ 1000
3 number match $ 5,00
2 number match $ 50
1 number match $ 10
Therefore, to win $10,000 ;
All 6 numbers must match
Number of right numbers = 6
Total numbers = 25
Since it is without replacement :
Probability = required outcomes / Total possible outcomes
P(First number match) = 6/25
P(second number match) = 5/24
P(third number match) = 4/23
P(fourth number match) = 3/22
P(fifth number match) = 2/21
P(sixth number match) = 1 / 20
Therefore, Probability of winning $10000 :
(6/25) * (5/24) * (4/23) * (3/22) * (2/21) * (1/20) = 720 / 127512000 = 0.0000056465
= 0.00000565
There is two hundred and four (204) on a standard chessboard.
Answer:
0, -1
Step-by-step explanation:
zeros occur when 2x^6+2x^5=0
the first way for this to happen would be to set x to 0. both terms would become zero.
the second way is x = -1
first term becomes 2
second becomes -2
these add to zero