The side opposite to the 35 degrees angle is 11 cm and both triangles are Right angled triangle thus it is 70 degrees.
43. 9 + 10 + 13 + 13 = $45
45 - 1 = 44
44 x 4 = 176
176 + 8 = 184
184/4 = 46
46 tokens per person
44. a. 22 x 5 = 110
943/110 = 8.7
you will need 9 bookcases
b. 110 x 9 = 990
990 - 943 = 47
47 - 44 = 3
There will be 3 books on the third shelf.
Answer: 1st box- subtracting 8 from both sides
2nd box- -8
Step-by-step explanation:
Answer:
The two numbers following 1,-2,3,-4,5... are -6 and 7.
Step-by-step explanation:
index: 1 2 3 4 5 ....
value: 1 -2 3 -4 5
Let the index be n. Then the first term is a(1), the secon is a(2), and so on.
a(2) = 2*(-1)^(2-1) = 2*(-1) = -2 (correct)
a(3) = 3*(-1)^(3-1) = 3*(-1)^2 = 3 (correct)
a(4) = 4*(-1)^(4-1) = 4*(-1)^3 = -4 (correct)
So the general formula for a(n) is: a(n)=n(-1)^(n-1)
Thus,
a(5) = 5(-1)^4 = 5
a(6) = 6(-1)^5 = -6
a(7) = 7(-1)^6 = 7
The "next two numbers in the pattern" are -6 and 7. The first 7 numbers are
1,-2,3,-4,5, -6, 7
