The formula to find the volume of the composite solid is: C. V = πr²h + ⅔πr³.
<h3>How to Find the Volume of a Composite Solid?</h3>
The volume of the composite solid in the image given = Volume of cylinder + volume of hemisphere.
Volume of cylinder = πr²h
Volume of hemisphere = ⅔πr³
Therefore, formula to find the volume is: C. V = πr²h + ⅔πr³.
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Answer:
<h2>y = -5x - 10</h2>
Step-by-step explanation:
Answer:
The remainder is 1
Step-by-step explanation:
Given the Fibonacci sequence
F_1 = F_2 = 1, and
F_(n + 2) = F_(n + 1) + F_n
We want to find the remainder when F_(1999) is divided by 5.
Let us write the first 20 numbers of the sequence in (mod 5). They are
F_1 = 1,
F_2 = 1,
F_3 = 2,
F_4 = 3,
F_5 = 5 = 0 (mod 5),
F_6 = 3,
F_7 = 3,
F_8 = 1
F_(9) = 4
F_(10) = 0
F_(11) = 4
F_(12) = 4
F_(13) = 3
F_(14) = 2
F_(15) = 0
F_(16) = 2
F_(17) = 2
F_(18) = 4
F_(19) = 1
F_(20) = 0
We have: 1, 1, 2, 3, 0, 3, 3, 1, 4, 0, 4, 4, 3, 2, 0, 2, 2, 4, 1, 0
Now, 1999 = 19(mod 20)
The 19th number in the sequence is 1.
So, the remainder is 1.
Answer: - 7.2 , 2.6 , 12.4 and 22.2
Step-by-step explanation:
Let the arithmetic means be p , q , r ,s , therefore , the sequence becomes:
-17 , p , q , r , s , 32
The first term (a ) = -17
Last term (L) = 32
common difference (d) = ?
number of terms (n ) = 6
We will use the formula for calculating the last term to find the common difference. That is
L = a + (n - 1 ) d
Substituting the values , we have
32 = -17 + (6-1) d
32 = -17 + 5d
32 + 17 = 5d
49 = 5d
Therefore: d = 9.8
We can therefore find the values of p , q , r , and s
p is the second term , that is
p = a + d
p = -17 + 9.8
p = -7.2
q = a + 2d
q = - 17 + 19.6
q = 2.6
r = a + 3d
r = - 17 + 29.4
r = 12.4
s = a + 4d
s = - 17 + 39.2
s = 22.2
Therefore : the arithmetic means are : - 7.2 , 2.6 , 12.4 and 22.2
Answer:
s=7
Step-by-step explanation:
