Answer:
an abolitionist
Step-by-step explanation:
a person who favors the abolition of a practice or institution, especially capital punishment or
(8)
since ΔPRS is right isosceles then PR = RS
let PR = RS = x, then using Pythagoras' identity on the triangle
x² + x² = (3√2)²
2x² = 18 ( divide both sides by 2 )
x² = 9 ( take the square root of both sides )
x = 3
that is RS = PR = 3 cm
MNPQ is a square hence PQ = = 5
and QR = PQ - 3 = 5 - 3 = 2 cm
area of rectangle RSTQ = 3 × 2 = 6 cm²
(9)
Since one of the diagonals is an altitude , then right triangle is formed
let one side be x then the other side is x - 2
perimeter = (2 × length ) + (2 × width ) = 2x + 2(x - 2 ) = 4x - 4
now given perimeter = 40, then
4x - 4 = 40 ( add 4 to both sides )
4x = 44 ( divide both sides by 4 )
x = 11
hence sides ( legs of right triangle ) are 11 and 9
Using Pythagoras' identity on the right triangle with hypotenuse (x) being the altitude
x = √(11² + 9²) = √(121 + 81) = √202 ≈ 14.21 in ( to 2 dec. places )
The probability that the sum of the two number will be less than 4 is
Explanation:
It is given that Mike rolls two number cubes.
It is given by the sample space S.
Let A be the event that the sum of the two number will be less than 4.
The sample space is given by
Hence, the total probability of the sample space is
To determine the probability of the sum of the two number will be less than 4, we need to add the outcomes of the two numbered cubes which results in the value less than 4.
Thus, we get,
Thus,
The probability that the sum of the two number will be less than 4 is given by
Thus, the probability that the sum of the two number will be less than 4 is
Answer:
Step-by-step explanation:
Answer:
Converse: “If x+y is even, then x is odd and y is odd”
FALSE
Step-by-step explanation:
The converse of
“If x is odd and y is odd, then x+y is even”
is
“If x+y is even, then x is odd and y is odd”
The converse is false.
Counter-example:
Take x = 2, y = 4
Then x+y = 6 which is even, but neither x nor y are odd.