Find the volume of the cylinder. Use 3.14 for (π Pi) 34 m on top and 27 m down on the right.

Answers

Answer 1
Answer:

Answer:

Volume of the cylinder (V) is given by:

V = \pi r^2h

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)

34 = 2r

Divide both sides by 2 we have;

r = 17 m

Substitute these given values in [1] we have;

V = 3.14 \cdot 17^2 \cdot 27

V = 3.14 \cdot 7803

Simplify:

V = 24,501.42 cubic m.

Therefore, volume of the cylinder is, 24,501.42 cubic m.

Answer 2
Answer:

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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What is the solution to the inequality??: 1 2 x + 8 ≤ 3

Answers

1/2x+8<3
isolate the x and divide so
subtract 8
1/2x<-5
multiply both sides by 2/1 to clear fraction
x<-10

The solution to the given inequality is determined as x ≤ -5/12

What is the solution to the inequality?

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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What is the factored form of the polynomial? x2 - 15x + 36

Answers

Answer:

(x-12)(x-3)

Step-by-step explanation:

We have been given an polynomial x^2-15x+36 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,

x^2-12x-3x+36

x(x-12)-3(x-12)

(x-12)(x-3)

Therefore, the factored form of our given polynomial is (x-12)(x-3).

The factored form of the polynomialx^2 - 15x + 36 is (x - 3)(x - 12).

To find the factored form of the polynomial x^2 - 15x + 36, 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 (x - r_1)(x - r_2).

where r_1 and r_2 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 (-3) * (-12) = 36 and

(-3) + (-12) = -15.

Therefore, we can factor the polynomial as:

x^2 - 15x + 36

x^2 - 12x-3x+36

x(x-12)-3(x-12)

= (x - 3)(x - 12)

So, the factored form of the polynomialx^2 - 15x + 36 is (x - 3)(x - 12).

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What is the graph of Y=2|3x-3|-4

Answers

y = 2|3x - 3| - 4
y = 2|3(x - 1)| - 4
y = 6|x - 1| - 4

The graph is a V shaped graph with vertex at (1, -4), x-intercepts at (1/3, 0) and (5/3, 0) any y intercept at (0, 2).

Y=t+a/t-b
express t in terms of a, b and y.
t-b​

Answers

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)

He sum of two numbers is 46 and the difference is 2 . What are the numbers?large number is
the small number is

Answers

a + b = 46
a-b = 2

solve one of the equations for a...
a + b = 46
a = b + 2

solve for "b" using substitution...
(b + 2) + b = 46
2b + 2 = 46
2b = 44
b = 22

solve for "a" with substitution...
a + (22) = 46
a = 24

Smaller Number: 22
Bigger Number: 24
Let us condense your question in the form of system of equations,

x + y = 46
x - y = 2

Now, x = 46 - y

Thus,

46-y - y = 2

46 - 2y = 2

-2y = -44

Thus, y = 22.

x + y = 46

x + 22 = 46

Thus, x = 24.

Thus, the greater number is 24 and smaller number is 22.

Write the ordered pair that represents YZ then find the magnitude of YZ Y(4,2) Z(2,8)

Answers

Answer:

B

Step-by-step explanation:

(-2, 6): 2sqrt10 units

Answer:

the correct answer is B

Step-by-step explanation:

i took the test on edg