Answer:
Volume of the cylinder (V) is given by:
where
r is the radius of the cylinder
h is the height of the cylinder.
As per the statement:
34 m on top and 27 m down on the right.
⇒Diameter(d) = 34 m and Height(h) = 27 m
We know:
Diameter = 2(radius)
⇒
Divide both sides by 2 we have;
m
Substitute these given values in [1] we have;
⇒
Simplify:
V = 24,501.42 cubic m.
Therefore, volume of the cylinder is, 24,501.42 cubic m.
The required volume of the cylinder is 24501.4 cubic meters
Use the concept of the cylinder defined as:
In mathematics, a cylinder is a three-dimensional solid that maintains, at a given distance, two parallel bases connected by a curving surface.
These bases often have a circular form (like a circle), and a line segment known as the axis connects the centers of the two bases.
Given that,
Height of cylinder 'h' = 27m
Diameter = 34 m
Since radius = diameter/2
Therefore, Radius 'r' = 17 m
We know that,
The volume of a cylinder,
V = πr²h
Put the values in this formula we get,
V = 17²(27)π
V = 24501.42 m³ [since π = 3.14]
Hence,
The volume of the cylinder is 24501.4 cubic meters.
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The solution to the given inequality is determined as x ≤ -5/12
The solution of the inequality is calculated as follows;
The given inequality equation:
12x + 8 ≤ 3
Start by subtracting 8 from both sides of the inequality:
12x + 8 - 8 ≤ 3 - 8
12x ≤ -5
Divide both sides of the inequality by 12:
(12x)/12 ≤ (-5)/12
x ≤ -5/12
Thus, the solution to the given inequality is x ≤ -5/12
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Answer:
Step-by-step explanation:
We have been given an polynomial and we are asked to factor our given polynomial.
We will factor our given polynomial by splitting the middle term in two numbers such that the numbers add up-to -15 and their product will be equal to 36.
We know that -12 and -3 add up-to -15 and their product is 36. So splitting the middle term of our given polynomial we will get,
Therefore, the factored form of our given polynomial is .
The factored form of the polynomial is .
To find the factored form of the polynomial , we can look for two binomials that, when multiplied, give us the original polynomial.
The general form of a quadratic polynomial in factored form is
where and are the roots of the polynomial.
Now, find two numbers whose product is 36 and whose sum is -15.
The numbers that satisfy these conditions are -3 and -12,
since and
Therefore, we can factor the polynomial as:
So, the factored form of the polynomial is .
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express t in terms of a, b and y.
t-b
Answer:
t=(a+by)/(y-1)
Step-by-step explanation:
(t-b)y =t+a
ty-by = t+a
ty-by=t+a
ty-by=a+by
t(y-1)=a+by
thus,
t=(a+by)/(y-1)
the small number is
Answer:
B
Step-by-step explanation:
(-2, 6): 2sqrt10 units
Answer:
the correct answer is B
Step-by-step explanation:
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