Answer:
t =30
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles.
t + (2t-28) = t+32
Combine like terms
3t -28 = t+32
Subtract t from each side
3t -28-t = t+32-t
2t -28 = 32
Add 28 to each side
2t-28+28 = 32+28
2t = 60
Divide by 2
2t/2 = 60/2
t =30
Answer: 108336
Step-by-step explanation:
given data:
cards on deck = 52
Since 2 queens are supposed to be in the 5 card hand. Therefore, 2 queens are choosen since we have a total of 4.
Since 2 Queens have been chosen already choosen. we are left with 3cards out of the hand of 5. This cards are to be choosen from the 48 remaining cards. Similarly same process would be used for other combination of playing cards.
(42∗483)+(43∗482)+(44∗481).
= (6 * 17296) + (4 * 1128 ) + (1 * 48)
= 103776 + 4512 + 48
=108336
We can use the Pascal's Triangle to solve this problem. This pascal's triangle is shown in the figure below. To build the triangle, begin with the number 1 at the top, then continue placing numbers below it in a triangular pattern. In this way, each number are the numbers directly above added together. So, the expression:
Can be extended as follows, for n = 10:
So, the 8th term of the binomial expansion is:
Two teacher sponsors. Write a rule for the number of chaperones that must be on the trip. Write ordered pairs to represent the number of chaperones that must attend the trip when there are 120,150,200, and 210 students.
The rule would be:
c = # of chaperones
s = # of students
c = 1/5s + 2
Plug those numbers of students into "s" in the above equation. Your answers will be the second number of the ordered pair.
C= S/5 + 2
C=Chaperones
S=Students
(S,C)
(120,26), (150,32), (200,42), (210,44)
Answer:
768
Step-by-step explanation: