Answer:
1. 15
2. 8
Step-by-step explanation:
The two sequence are geometric progression GP, because they follow a constant multiple (common ratio)
The nth term of a GP is;
Tn = ar^(n-1)
Where;
a = first term
r = common ratio
For the first sequence;
The common ratio r is
r = T3/T2 = 540/90 = 6
r = 6
T2 = ar^(2-1) = ar
T2 = 90 = ar
Substituting the values of r;
90 = a × 6
a = 90/6
a = 15
First term = 15
2. The sam method applies here.
Common ratio r = T3/T2 = 128/32 = 4
r = 4
T2 = ar^(2-1) = ar
T2 = 32 = ar
Substituting the values of r;
32 = a × 4
a = 32/4
a = 8
First term = 8
Answer:
7 (7.07106781187)
Step-by-step explanation:
All you have to do is find the diameter of the rectangle from two farthest corners. To do this, use the Pythagorean Theorem
(5^2) + (5^2) = c^2
25 + 25 = c^2
50 = c^2
7 ≈ c
B) because the rate of change is 7, while for A the rate of change is 6 and for C and D the rate of change is 4
Answer:
10:40
Step-by-step explanation:
As the left number increases by 1, the right number increases by 4. So as you can see, the left numbers go 3-4-5 while the right numbers go 12-16-20. So the answer is 10:40 because 10x4=40.
Answer:
45
Step-by-step explanation:
Divide 30 by 10. You get 3. Take three and multiply it by 15. Your answer is 45.
