Answer:
Option B. 
Step-by-step explanation:
we know that
The volume of a cone is equal to
we have
substitute
assume
The rate of change is 15. We know this because 30 - 15 = 15, 45 - 30 = 15, and 60 - 45 = 15.
The next item in the sequence would be 75, since 60 + 15 = 75.
Answer:
Q1
|a-b| = b-a when a<b
Q2
104159/33000
Step-by-step explanation:
Q1
If a<b then a-b will always be negative. To get the absolute value, we can take -(a-b) = -a+b = b-a.
Q2
Let x = 3.12789789789...
We isolate the repeating decimal to start after the decimal, so we multiply by 100.
100x = 312.789789789...
We want to multiply by 10 for each digit that repeats (in this case 3), to get the repeating part to the left of the decimal.
100000x = 312789.789789
Subtracting the two...
x(100000-100) = 312789.789789 - 312.789789
99900x = 312477
x = 312477/99000 = 104159/33000
Answer:
C. 4
Step-by-step explanation:
This is just a common ratio. These two triangles are alike, just that one is smaller than the other. You can see that one of the sides of the big traingle is 10. The same side of the smaller triangle is 5. That means the big traingle's side is twice as big as the small circle's.
10 divided by 5= 2
If the big triangle's side got divided by 2 to get the smaller triangle's side. So, that means the other side of the big triangle, 8 is twice as big as the side on the smaller triangle, x.
8 divided by 2= x
8 divided by 2= 4, so x= 4.
This is the ratio:
8:10 to x:5
As you can see the 10 got divided by 2 to get the 5. So 8 must also get divided by 2, which equals 4.
Answer:
I am pretty sure it is 351
