Evaluate 3/4 · 1/2 .
1 answer:
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Answer:
The given line segment whose end points are A(2,2) and B(3,8).
Distance AB is given by distance formula , which is
if we have to find distance between two points (a,b) and (p,q) is
=
AB= = 6.08 (approx)
Line segment AB is dilated by a factor of 3.5 to get New line segment CD.
Coordinate of C = (3.5 ×2, 3.5×2)= (7,7)
Coordinate of D = (3.5×3, 3.5×8)=(10.5,28)
CD = AB × 3.5
CD = √37× 3.5
= 6.08 × 3.5
= 21.28 unit(approx)
2. Slope of line joining two points (p,q) and (a,b) is given by
m=
m=
As the two lines are coincident , so their slopes are equal.
Slope of line AB=Slope of line CD = 6
Solution:
we are given that
A number picked at random from the numbers 1 through 15 is prime.
As we know the number between 1 and 15 which are primes are listed below
2,3,5,7,11,13.
Here total number of favourable outcomes are 6.
The numbers 1 through 15 are as below:
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15.
Here total number of possible outcoes are 15.
Hence the probability that if a number picked at random from the numbers 1 through 15 is prime
Hence the probability that if a number picked at random from the numbers 1 through 15 is prime is 0.4