Step-by-step explanation:
the scaling ratio is 12/20 = 3/5.
this always applies only to one-dimensional distances, lengths.
the perimeter is calculated as the sum of individual lengths. so while each length is scaled by the same ratio, also the sum is then scaled by that ratio.
p_old = a + b + c
p_new = ra + rb + rc = r(a + b + c) = r×p_old
so, the ratio for the perimeter is also 3/5.
for the area this is a bit different, as an area is always calculated by multiplying 2 lengths (other unscaled factors can be ignored for that consideration of relative change), and that means the scaling ratio has to be multiplied in twice.
a_old = a × b
a_new = ra × rb = r² × a×b = r² × a_old
so, the ratio for the area is
(3/5)² = 9/25
In order to determine the probability that the coin chosen is a dime, determine first the total number of sample coins. In this problem, there are 52 coins all in all. Next, divide the number of dimes in the sample with the total number of coins. This gives us 10/52. Simplifying the fraction further yields to 5/26. Thus, the probability that the coin chosen is dime is 5/26. The answer is letter c.
Kelly bought 156 pieces of candy in the last month.
Answer:
answers are given below
Step-by-step explanation:
1.
Circumference = 
Where 2r = Diameter
Hence
Circumference =
2.
No there is no such circle in which relationship between Radius and Diameter can be represented without
.
This is because while deriving the relation the angle measurement ts taken into consideration and the angle are measured in radians i.e. in terms of
not degrees.
3. We can not determine the exact circumference because
is a rational number and but its value is approximately taken from
and
is an irrational number