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2 years ago

7

HELP ASAP! What is the smallest positive number that can be added to 55 so that the resulting number and 45 have 9 as their grea

test common factor?
5

8

9

17

1 answer:

Nikitich [7]2 years ago

8 0

Answer:

It would be 5

Step-by-step explanation:

thank me later! :)

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Find the product of: (3u-6sa)(u+sa)

Lostsunrise [7]

3u^2+3usa-6usa-6s^2a^2
3u^2-3usa-6s^2a^2

4 0

2 years ago

Solve for x.<br> x-2/4 - x+3/3 = -2

exis [7]

The LCD is 12. Thus, your

(x-2)/4 - (x+3)/3 = -2 becomes 12((x-2)/4 - (x+3)/3 = -2), or

3(x-2) - 4(x+3) = -36

Then 3x - 6 - 4x - 12 = -36. Combining like terms,

-x = -36 + 18, or -x = -18, or x = 18.

Check this result by subbing 18 for x in the given equation.

Please note: You must use parentheses here as indicated to eliminate any ambiguity about order of operations and what divides into what.

7 0

3 years ago

1. Sand falling from a chute forms a conical pile whose altitude is always equal to 4/3 the radius of the base. (a) How fast is

solong [7]

Answer:

The volume is increasing at a rate of 16286 in³/min.

Step-by-step explanation:

a) The volume of a cone is given by:

$V = \frac{1}{3}h\pi r^{2}$

Where:

r: is the radius

h: is the height

The rate of change of the volume can be calculated by using the chain rule:

$\frac{dV}{dt} = \frac{\pi}{3}[\frac{dh}{dt}r^{2} + h\frac{d(r^{2})}{dt}]$

Since h = 4/3 r we have:

$\frac{dV}{dt} = \frac{\pi}{3}[\frac{d(\frac{4r}{3})}{dt}r^{2} + \frac{4r}{3}\frac{d(r^{2})}{dt}]$

$\frac{dV}{dt} = \frac{4\pi}{9}[\frac{dr}{dt}r^{2} + r\frac{d(r^{2})}{dt}]$

$\frac{dV}{dt} = \frac{4\pi}{9}[\frac{dr}{dt}r^{2} + 2r^{2}\frac{dr}{dt}]$ (1)

With:

$\frac{dr}{dt}$ = 3 in/min

$r = 3 ft*\frac{12 in}{1 ft} = 36 in$

And by entering the above values into equation (1) we have:

$\frac{dV}{dt} = \frac{4\pi}{9}[(3 in/min)*(36 in)^{2} + 2*(36 in)^{2}*3 in/min]$

$\frac{dV}{dt} = 16286 in^{3}/min$

Therefore, the volume is increasing at a rate of 16286 in³/min.

I hope it helps you!

3 0

2 years ago

I need help with all these questions

yKpoI14uk [10]

Answer:

Step-by-step explanation:

8 0

2 years ago

Find the circumference of the circle with 1/4 Pi square centimetre square 2<br>

otez555 [7]

Answer:

The circumference of the circle is 6 cm (approximately).

Step-by-step explanation:

Given:

Area of the circle = 1/4π²

Now, to get the circumference of the circle we need the radius.

So, finding the radius by putting the formula of area:

Area = $\pi r^{2}$

$\frac{1}{4} \pi ^{2}$ = $\pi r^{2}$

dividing π by both sides:

$\frac{1}{4}\pi$ $=r^{2}$

using square root on both the sides:

$\frac{1}{2}\sqrt{\pi } = r$

So, the radius is $\frac{1}{2}\sqrt{\pi }$

Now, putting the formula of circumference:

$circumference=2\pi r$

= $2\pi\frac{1}{2} \sqrt{\pi}$

= $\pi \sqrt{\pi}$

putting the value of π =3.14

= $3.14\times\sqrt{3.14}$

= $3.14\times1.77$

= $5.56$

Circumference = 5.56 cm

Therefore, the circumference of the circle is 6 cm (approximately).

4 0

2 years ago