Each lion has 1 head. The number of lion heads is L .
Each bird has 1 head. The number of bird heads is B.
The total number of heads of all species is (L + B) = 30
Each lion has 4 feet. The number of lion feet is 4L .
Each bird has 2 feet. The number of bird feet is 2B .
The total number of feet of all species is (4L + 2B) = 100
The system of linear equations is:
L + B = 30
4L + 2B = 100 .
Step-by-step explanation:
m<ABC =3y+5
m<ADC =5y-45
3y+5 = 5y-45
2y = 50
y = 25
.............
m<BCD = 180 - 80 = 100°
Answer:
The probability that the person gets a speeding ticket is 0.27
Step-by-step explanation:
The probability that the person receives a speeding ticket is the probability that the person passes through any of the speed limits and the radar is operating at that time.
Let is the probability that the person passes through radar and it is operating at that time is
Where
P(1) is the probability of person passes through
P(2) is probability that the radar is operating
Similarly the probabilities are calculated for other radars in the similar manner as
Thus the reuired probability of the reuired event is
Given:To find: is an irrational number. Solution: (Were p and q is a co-prime)Squaring both the side in above equationif 3 is a factor of Then, 3 will also be a factor of p {where m is a integer}Squaring both sides we getSubstitute the value of in the equation If 3 is a factor of Then, 3 will also be factor of qHence, 3 is a factor of p & q bothSo, our assumption that p & q are co-prime is wrong.So, is an "irrational number". Hence proved.
Answer:
option d -1 is the answer