Answer:
40/49
Step-by-step explanation:
probability that a point chosen at random in the given figure will be inside the larger circle and outside the smaller circle = ( area larger circle - area of smaller circle / area of larger circle )
area of a circle = πr² where r = radius
area of smaller circle :
radius = 6
==> plug in 6 for r
A = π(6)²
==> evaluate exponent
A = 36π
Area of larger circle :
Radius = 14
==> plug in 14 for r
A = π(14)²
==> evaluate exponent
A = 196π
We have probability = area larger circle - area of smaller circle / area of larger circle
area of larger circle = 196π
area of smaller circle = 36π
probability = (196π - 36π)/196π
==> subtract 36 from 196
probability = 160π/196π
==> simplify fraction and cancel out π
probability = 40/49
Answer:
4(x-1)units
Step-by-step explanation:
In a given rectangle, the length of the rectangle is the shorter side while its breadth is the longer side.
Since we have 2 lengths and 2 breadths in a rectangle, the perimeter of the rectangle will be 2L+2x where
L is the length(shorter side) and x is the breadth (longer side).
According to the question, the shorter side(L) is 2 units less than the longer side(x). Mathematically,
L = x-2
Substituting L = x-2 into the formula of perimeter of a rectangle we have,
P = 2(x-2) + 2x
P = 2x-4+2x
P = 4x-4
P = 4(x-1)
The perimeter of the rectangle will be 4(x-1)units
Answer:
The value of the side PS is 26 approx.
Step-by-step explanation:
In this question we have two right triangles. Triangle PQR and Triangle PQS.
Where S is some point on the line segment QR.
Given:
PR = 20
SR = 11
QS = 5
We know that QR = QS + SR
QR = 11 + 5
QR = 16
Now triangle PQR has one unknown side PQ which in its base.
Finding PQ:
Using Pythagoras theorem for the right angled triangle PQR.
PR² = PQ² + QR²
PQ = √(PR² - QR²)
PQ = √(20²+16²)
PQ = √656
PQ = 4√41
Now for right angled triangle PQS, PS is unknown which is actually the hypotenuse of the right angled triangle.
Finding PS:
Using Pythagoras theorem, we have:
PS² = PQ² + QS²
PS² = 656 + 25
PS² = 681
PS = 26.09
PS = 26
Whole number because 7 is in front of the deciaml point
Answer:
Step-by-step explanation:
The master chief has three and a half cookies i.e. 
numbers of cookies.
Again the arbiter has five and three quarters of a cookie i.e. 
number of cookies.
Therefore, in total there are 
numbers of cookies.
If we divide the total number of cookies in to equal parts and distribute to then then each of them will get 
numbers of cookies. (Answer)
