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jeka57 [31]
3 years ago
8

Could use some help with these. They r confusing!!

Mathematics
1 answer:
Gala2k [10]3 years ago
4 0

Step-by-step explanation:

The top part is a cone.  It's volume is:

V = ⅓ π r² h

where r is the radius (half the diameter) and h is the height.

The bottom part is a cylinder.  It's volume is:

V = π r² h

where r is the radius (half the diameter) and h is the height.

The radius of the cone is 36/2 = 18 ft, and the height is 12 ft.  So the volume is:

V = ⅓ π (18 ft)² (12 ft)

V = 4,071.5 ft³

The radius of the cylinder is 36/2 = 18 ft, and the height is 39 ft.  So the volume is:

V = π (18 ft)² (39 ft)

V = 39,697.2 ft³

Therefore, the total volume is:

4,071.5 ft³ + 39,697.2 ft³ ≈ 43,769 ft³

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Which equation is equivalent to the equation 6x + 9=12
quester [9]

Answer:

the answer is 1/2

Step-by-step explanation:

i solved it

6 0
3 years ago
Complete the equation of the line through (1,4)(1,4)left parenthesis, 1, comma, 4, right parenthesis and (2,2)(2,2)left parenthe
Ivahew [28]

Answer:

y = -2x + 6

Step-by-step explanation:

Given

(x_1,y_1) = (1,4)

(x_2,y_2) = (2,2)

Required

Determine the line equation

First, we calculate the slope (m) using

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{2-4}{2-1}\\

m = \frac{-2}{1}

m = -2

The equation is then calculated using:

y - y_1 = m(x - x_1)

y - 4 = -2(x - 1)

Open bracket

y - 4 = -2x + 2

y = -2x + 2 + 4

y = -2x + 6

5 0
2 years ago
Read 2 more answers
The region bounded by y=(3x)^(1/2), y=3x-6, y=0
Ganezh [65]

Answer:

4.5 sq. units.

Step-by-step explanation:

The given curve is y = (3x)^{\frac{1}{2} }

⇒ y^{2} = 3x ...... (1)

This curve passes through (0,0) point.

Now, the straight line is y = 3x - 6 ....... (2)

Now, solving (1) and (2) we get,

y^{2} - y - 6 = 0

⇒ (y - 3)(y + 2) = 0

⇒ y = 3 or y = -2

We will consider y = 3.

Now, y = 3x - 6 has zero at x = 2.

Therefor, the required are = \int\limits^3_0 {(3x)^{\frac{1}{2} } } \, dx - \int\limits^3_2 {(3x - 6)} \, dx

= \sqrt{3} [{\frac{x^{\frac{3}{2} } }{\frac{3}{2} } }]^{3} _{0} - [\frac{3x^{2} }{2} - 6x ]^{3} _{2}

= [\frac{\sqrt{3}\times 2 \times 3^{\frac{3}{2} }  }{3}] - [13.5 - 18 - 6 + 12]

= 6 - 1.5

= 4.5 sq. units. (Answer)

7 0
3 years ago
F(x) = 3x + 6 please help quickly!!!!!!!
Georgia [21]

Given the function, <em>f(x) = 3x + 6,</em> we can solve for f(a), f(a + h) and \frac{(f(a + h) - f(a)) }{h} by substituting their values into f(x) = 3x + 6. We will have the following:

\mathbf{f(a) = 3a + 6}\\\\\mathbf{f(a + h) = 3a + 3h + 6}\\\\\mathbf{\frac{(f(a + h) - f(a)) }{h} = 6}

<em><u>Given:</u></em>

  • f(x) = 3x + 6

<em>We are told to find:</em>

  1. f(a)
  2. f(a + h), and
  3. \frac{(f(a + h) - f(a)) }{h}

1. <em><u>Find f(a):</u></em>

  • Substitute x = a into f(x) = 3x + 6

f(a) = 3(a) + 6

f(a) = 3a + 6

<em>2. Find f(a + h):</em>

  • Substitute x = a + h into f(x) = 3x + 6

f(a + h) = 3(a + h) + 6

f(a + h) = 3a + 3h + 6

<em>3. Find </em>\frac{(f(a + h) - f(a)) }{h}<em>:</em>

  • Plug in the values of f(a + h) and f(a) into \frac{(f(a + h) - f(a)) }{h}

Thus:

\frac{((3a + 3h + 6) - (3a + 6)) }{h}\\\\\frac{(3a + 3h + 6 - 3a - 6) }{h}\\\\

  • Add like terms

\frac{(3a - 3a + 3h + 6 - 6) }{h}\\\\= \frac{3h }{h}\\\\\mathbf{= 3}

Therefore, given the function, <em>f(x) = 3x + 6,</em> we can solve for f(a), f(a + h) and \frac{(f(a + h) - f(a)) }{h} by substituting their values into f(x) = 3x + 6. We will have the following:

\mathbf{f(a) = 3a + 6}\\\\\mathbf{f(a + h) = 3a + 3h + 6}\\\\\mathbf{\frac{(f(a + h) - f(a)) }{h} = 6}

Learn more here:

brainly.com/question/8161429

6 0
3 years ago
What is the Quotient of 1 and 2/3 divided by 2 and 3/5
Nostrana [21]

Answer:

  25/39

Step-by-step explanation:

For division of mixed numbers, it often works well to first convert them to improper fractions. Then the division proceeds in the usual way: "invert and multiply", or "dot, swap."

__

  1\dfrac{2}{3}\div2\dfrac{3}{5}=\dfrac{5}{3}\div\dfrac{13}{5}=\dfrac{5}{3}\cdot\dfrac{5}{13}\\\\=\dfrac{5\cdot5}{3\cdot13}=\boxed{\dfrac{25}{39}}

_____

<em>Additional comment</em>

Your graphing calculator can do this, too.

7 0
2 years ago
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