First we find the measurement of dark dot .
ANd for that we have to use the formula of the angle formed by the intersection of chord .
Let the dark dot be t.
So we have
t and z are linear pair and sum of angles of linear pair =180 degree.
So we get
1/2 (Base x height) = area
1/2 (4*x)=10
2x=10
X=5
The height is 5 units
Answer:
Step-by-step explanation:
The set {1,2,3,4,5,6} has a total of 6! permutations
a. Of those 6! permutations, 5!=120 begin with 1. So first 120 numbers would contain 1 as the unit digit.
b. The next 120, including the 124th, would begin with '2'
c. Then of the 5! numbers beginning with 2, there are 4!=24 including the 124th number, which have the second digit =1
d. Of these 4! permutations beginning with 21, there are 3!=6 including the 124th permutation which have third digit 3
e. Among these 3! permutations beginning with 213, there are 2 numbers with the fourth digit =4 (121th & 122th), 2 with fourth digit 5 (numbers 123 & 124) and 2 with fourth digit 6 (numbers 125 and 126).
Lastly, of the 2! permutations beginning with 2135, there is one with 5th digit 4 (number 123) and one with 5 digit 6 (number 124).
∴ The 124th number is 213564
Similarly reversing the above procedure we can determine the position of 321546 to be 267th on the list.
Answer: x < 360
Step-by-step explanation:
Let x be the total cost for the trip.
And, Here the total number of person = 4
Therefore, the cost for each person = x/4
And, According to the question, The cost must below $90 per person.
Therefore, x/4 < 90
⇒ x < 360
Which is the required inequality for the situation.
As the temperature increases, hot chocolate sales increase.
