<span>Volume of Cone:
1/3 Bh where B is the area of the base
1/3 Bh = 5
Bh = 15
B = 15/h
The cylinder has the same base area as the cone.
Volume of Cylinder:
V = B*h
B = V/h and B = 15/h
The height of the cone and the cylinder are the same.
V/h = 15/h
Volume of Cylinder = 15.</span>
Answer:
2(x+10) = 3x-30 (reason: vertical angles are congruent)
2x+20 = 3x-30
20 = 1x-30
1x = 20+30
1x = 50
x = 50
Answer:
see explanation
Step-by-step explanation:
The common difference d of an arithmetic sequence is
d = 
- 
= 
-
Substitute in values and solve for k, that is
5k - 1 - 2k = 6k + 2 - (5k - 1)
3k - 1 = 6k + 2 - 5k + 1
3k - 1 = k + 3 ( subtract k from both sides )
2k - 1 = 3 ( add 1 to both sides )
2k = 4 ⇒ k = 2
--------------------------------------------------------
The n th term of an arithmetic sequence is
= + (n - 1)d
= 2k = 2 × 2 = 4 and
d = 5k - 1 - 2k = 3k - 1 = (3 × 2) - 1 = 5
Hence
= 4 + (7 × 5) = 4 + 35 = 39
Answer:
1.28 or 128
Step-by-step explanation:
you would take 32 and divide it by.25
3x = 24 - 9
3x = 15
x = 15/3
x = 5
Answer: B) x= 5 or the second option.
