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2 years ago

What is the volume of a cube that has sides 9.2 inches long?

1 answer:

5 0

The volume of a cube is V=x³ where x is the side length. The volume of a cube can also be written as V=lwh, where l is length, w is width and h is height. since the given side length to us is 9.2, we can put that into the formula.
V=9.2³, or V=9.2*9.2*9.2
V=778.688in³

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9x-8(x-6)=52 what is the answer

Effectus [21]

Answer:

x = 4

Step-by-step explanation:

Step 1: Write equation

9x - 8(x - 6) = 52

Step 2: Solve for <em>x</em>

Distribute -8: 9x - 8x + 48 = 52
Combine like terms: x + 48 = 52
Subtract 48 on both sides: x = 4

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

9(4) - 8(4 - 6) = 52

36 - 8(-2) = 52

36 + 16 = 52

52 = 52

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3 years ago

Find the area of this triangle.

Misha Larkins [42]

Answer:

72 m

Step-by-step explanation:

6 0

2 years ago

A guitar string is plucked at a distance of 0.6 centimeters above its resting position and then released, causing vibration. The

liubo4ka [24]

Answer:

The equation that represents the motion of the string is given by:

$y =Ae^{-kt}\cos(2\pi ft)$ .....[1] where t represents the time in second.

Given that: A = 0.6 cm (distance above its resting position) , k = 1.8(damping constant) and frequency(f) = 105 cycles per second.

Substitute the given values in [1] we get;

$y =0.6e^{-1.8t}\cos(2\pi 105t)$

$y =0.6e^{-1.8t}\cos(210\pi t)$

(a)

The trigonometric function that models the motion of the string is given by:

$y =0.6e^{-1.8t}\cos(210\pi t)$

(b)

Determine the amount of time t that it takes the string to be damped so that $-0.24\leq y \leq0.24$

Using graphing calculator for the equation

$y =0.6e^{-1.8x}\cos(210\pi x)$

let x = t (time in sec)

Graph as shown below in the attachment:

we get:

the amount of time t that it takes the string to be damped so that $-0.24\leq y \leq0.24$ is, 0.5 sec

4 0

3 years ago

Please help 15 points each but beware if you use my points for no reason I'll report you

romanna [79]

Answer:

$2048~ \text{in}^3$

Step-by-step explanation:

$\text{Volume,}~ V = \dfrac 43 \pi r^3 \\\\\\~~~~~~~~~~~~~~~=\dfrac 43 \times 3 \times 8^3\\\\\\~~~~~~~~~~~~~~~=4 \times 512\\\\\\~~~~~~~~~~~~~~~=2048~ \text{in}^3$

6 0

1 year ago

Read 2 more answers

In one hour Dele walks 8km. how long will it take her to walk 14km at the same rate

erastovalidia [21]

Answer:

it will take her 2 hours and 45 minutes

8 0

2 years ago