The cylindrical part of an architectural column has a height of 315 cm and a diameter of 30 cm. Find the volume of the cylindrical part of the column. Use 3.14 for n and round your answer to the nearest cubic centimeter if needed.​

Answer:

The first one

Step-by-step explanation:

Negative b plus and minus the square root of b squared minus 4ac divided by 2a

Answer:

24/36

Step-by-step explanation:

Have a nice day..........

Answer:

Lines A and C are parallel

Lines B and D are perpendicular

Step-by-step explanation:

Given

See attachment for lines A to D

Required

Determine the parallel and perpendicular lines

To start with, we calculate the slope of each line.

Line A

The points on line A are:

[tex](x_1,y_1) = (3,-4)[/tex]

[tex](x_2,y_2) = (-1,2)[/tex]

Calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{2 - (-4)}{-1 - 3}[/tex]

[tex]m = \frac{2 +4}{-4}[/tex]

[tex]m = \frac{6}{-4}[/tex]

[tex]m_1 = -\frac{3}{2}[/tex]

Line B

[tex](x_1,y_1) = (-1,8)[/tex]

[tex](x_2,y_2) = (2,6)[/tex]

Calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{6 - 8}{2 -(-1)}[/tex]

[tex]m = \frac{-2}{2 +1}[/tex]

[tex]m_2 = -\frac{2}{3}[/tex]

Line C

[tex]y - 9 = -\frac{3}{2}(x + 8)[/tex]

Open bracket

[tex]y - 9 = -\frac{3}{2}x -\frac{3}{2}* 8[/tex]

[tex]y - 9 = -\frac{3}{2}x -3* 4[/tex]

[tex]y - 9 = -\frac{3}{2}x -12[/tex]

Make y the subject

[tex]y = -\frac{3}{2}x -12+9[/tex]

[tex]y = -\frac{3}{2}x -3[/tex]

The slope intercept of an equation is: [tex]y = mx + b[/tex]

Where

[tex]m = slope[/tex]

By comparison:

[tex]m_3 = -\frac{3}{2}[/tex]

Line D

[tex]12x - 8y = 40[/tex]

Subtract 12x from both sides

[tex]12x-12x - 8y = -12x+40[/tex]

[tex]- 8y = -12x+40[/tex]

Divide through by -8

[tex]\frac{- 8y}{-8} = \frac{-12x}{-8}+\frac{40}{-8}[/tex]

[tex]y= \frac{12x}{8}-\frac{40}{8}[/tex]

[tex]y= \frac{3}{2}x-5[/tex]

The slope intercept of an equation is: [tex]y = mx + b[/tex]

Where

[tex]m = slope[/tex]

By comparison:

[tex]m_4 = \frac{3}{2}[/tex]

So, the slopes of the lines are:

[tex]m_1 = -\frac{3}{2}[/tex]      [tex]m_2 = -\frac{2}{3}[/tex]     [tex]m_3 = -\frac{3}{2}[/tex]       [tex]m_4 = \frac{3}{2}[/tex]

Lines with the same slope are parallel.

So:

Lines A and C with slope of [tex]-\frac{3}{2}[/tex] are parallel

Lines with the following relationship are perpendicular:

[tex]m * M = -1[/tex]

Lines B and D are perpendicular because:

[tex]-\frac{2}{3} * \frac{3}{2} = -1[/tex]

[tex]-\frac{6}{6} = -1[/tex]

[tex]-1 = -1[/tex]

Answer:

C)

Step-by-step explanation:

First use distributive property: a(b +c) =a*b +a*c

-3x + 5(x +2) = -3x + 5*x +5*2

                   = -3x + 5x + 10          {Combine like terms}

                  = 2x + 10

(-3x) and 5x are like terms

Answer:

Step-by-step explanation:

It's C.

Answer:

4 1/6

Step-by-step explanation:

First, you have to convert any mixed numbers to fractions.

Then your initial equation becomes:

25/8÷3/4

Second, you have to apply the fractions formula for division.

= 25 x 4

------------- (You will be dividing.)

  8 x 3

=100/24

And if you simplify 100/24, the answer will become:

4 1/6

I hope this helps.    :)

Answer:

The value is $10.21, and it shows the change received

Step-by-step explanation:

I know for a fact it is 10.21 but since there is no graph and from what you told I believe this is the answer. Brainliest please ???

Answer:

1953125 I calculated it... Thanks for the points

Step-by-step explanation:

5^9

=1953125 that's the answer trust me

Answer:

n=90

Step-by-step explanation:

80% as a decimal is 0.80

0.80n = 72

n = 72/0.80

n = 90

Not my work

Answer:

NM =LK=20cm(side of parallelogram are equal)

LN=KM=24cm(diagonal of parallelogram are equal)

QM=1/2×24=12cm(diagonal bisect each other)

KN=√(24²-20²)=13.26cm(by Pythagoras theorem)

Answer:

11/2

Step-by-step explanation:

2,3,3,4,5,6,6,6,7,9

5+6/2

11/2

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

Answer:

5(n+3)

Step-by-step explanation:

factor both of them

their common number is 5

divide 5 by each of them

5/5=1

15/5=3

Answer:

4y and 3y

Step-by-step explanation:

4y and 3y are like terms because they have y after the number. Every time when a math problem ask you to combine like terms, it'll be the ones that have the same variables or powers.

Answer:

45

Step-by-step explanation:

20:15 the ratio can be turned to a fraction

20/15

simplify

4/3

so now add the numerator and the denominator and get 7

then do 105/7=15

and then you do

4x15=60 (Destroyers)

3x15=45 (Battleships)

45 is your answer

Answer:

a translation 5 units to the left

Step-by-step explanation:

                                                 Answer

                                       Part 1: B. 5 units left

                                     Part 2: C. 7 units down

                                             Hope it helps!

                                     Have an amazing day!!

                                                     ^ω^

-- FTS

Answer:

2 times

Step-by-step explanation:

Answer:

Se requiere una fuerza de 854.473 newtons sobre el émbolo pequeño.

Step-by-step explanation:

Por el Principio de Pascal se conoce que el esfuerzo experimentado por el elefante es igual a la presión ejercida por el plato pequeño. Es decir:

[tex]\frac{F_{1}}{A_{1}} = \frac{F_{2}}{A_{2}}[/tex] (1)

Donde:

[tex]F_{1}[/tex] - Fuerza experimentada por el elefante, medida en newtons.

[tex]F_{2}[/tex] - Fuerza aplicada sobre el plato pequeño, medida en newtons.

[tex]A_{1}[/tex] - Área del plato grande, medida en metros cuadrados.

[tex]A_{2}[/tex] - Área del plato pequeño, medida en metros cuadrados.

La fuerza aplicada sobre el plato pequeño es:

[tex]F_{2} = \left(\frac{A_{2}}{A_{1}} \right)\cdot F_{1}[/tex]

La fuerza experimentada por el elefante es su propio peso. Por otra parte, el área del plato es directamente proporcional al cuadrado de su diámetro. Es decir:

[tex]F_{2} = \left(\frac{D_{2}}{D_{1}} \right)^{2}\cdot m\cdot g[/tex] (2)

Donde:

[tex]D_{1}[/tex] - Diámetro del plato grande, medido en centímetros.

[tex]D_{2}[/tex] - Diámetro del plato pequeño, medido en centímetros.

[tex]m[/tex] - Masa del elefante, medida en kilogramos.

[tex]g[/tex] - Aceleración gravitacional, medida en metros por segundo cuadrado.

Si sabemos que [tex]D_{1} = 0.75\,m[/tex], [tex]D_{2} = 0.13\,m[/tex], [tex]m = 2900\,kg[/tex] y [tex]g = 9.807\,\frac{m}{s^{2}}[/tex], entonces la fuerza a aplicar al émbolo pequeño es:

[tex]F_{2} = \left(\frac{0.13\,m}{0.75\,m} \right)^{2}\cdot (2900\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)[/tex]

[tex]F_{2} = 854.473\,N[/tex]

Se requiere una fuerza de 854.473 newtons sobre el émbolo pequeño.

Answer:

y > 4 3

Step-by-step explanation:

Answer:

9 is justin is 65 marcella is 63 and aimee is 61

11 is 20%+2

hope that helped

Answer:

x=-20

Step-by-step explanation: since 9 is being added, subtract it from both sides so x=-20 that was easy :>

69818247034ue8e83884647

Answer:

The answer is probably = 360° x+ 144°

Answer:

9

Step-by-step explanation:

just did the assignment

Answer:

C

Step-by-step explanation:

C

Answer: Alright So, A bag is filled with green and blue marbles. There are 48 marbles in the bag. If there are 38 more green marbles than blue marbles, find the number of green marbles and the number of blue marbles in the bag.

------

Equations:

g + b = 48 marbles

g = b + 38

------

Substitute for "g" and solve for "b"::

b+38 + b = 48

2b = 10

b = 5 (# of blue marbles)

g = b+38 = 43 (# of green marbles)

Step-by-step explanation:

Answer:

1.08

Step-by-step explanation:

This is because it grows upon itself so it starts with a multiplier of 1, but it is growing with .08 (8 percent) on itself so you add these two numbers together to get 1.08

Answer:

290

Step-by-step explanation:

2lw + 2lh + 2wh

2×11×8+2×11×3+2×8×3

Answer:

      D    on edg

Step-by-step explanation:

Answer:

1/14

Step-by-step explanation:

P(red, then black) = [tex]\frac{2}{8}[/tex] · [tex]\frac{2}{7}[/tex] = [tex]\frac{4}{56}[/tex] = [tex]\frac{1}{14}[/tex] (simplifed form)

Answer:

1.No- that just means that the numbers on that side are smaller

Step-by-step explanation:

Answer:

Mean

Step-by-step explanation: