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CaHeK987 [17]
3 years ago
13

Express each quotient in the simplest form. 20xy^3/6z divided by 2xy/18z^5

Mathematics
1 answer:
Galina-37 [17]3 years ago
3 0
\dfrac{20xy^3}{6z}:\dfrac{2xy}{18z^5}=\dfrac{10xy^3}{3z}:\dfrac{xy}{9z^5}=\dfrac{10xy^3}{3z}\cdot\dfrac{9z^5}{xy}\\\\=\dfrac{10xy^3}{z}\cdot\dfrac{3z^5}{xy}=10y^2z^4\\\\\text{used:}\\ a^n\cdot a^m=a^{n+m}\\\\\dfrac{a^n}{a^m}=a^{n-m}
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A water balloon slingshot launches its projectiles essentially from ground level at a speed of 25.5 m/s . (You can ignore air re
lozanna [386]
A) The longest horizontal distance is reached at 45 degrees angle. This is true for any projectile launch.

B) First, calculate fligth time (using the vertical motion) and then calculate the horizontal movement.

Flight time = 2* ascendent time

ascendent time => final vertical velocity, Vy, = 0

sin(45) = Voy / Vo => Voy = Vosin(45) = 25.5 m/s * (√2) / 2 = 18.03 m/s

Vy = Voy - gt = 0  => Voy = gt = t = Voy / g

Use g = 10 m/s^ (it is an aproximation, because the actual value is about 9.81 m/s^2 depending on the latitud)

t = 18.03 m/s / 10 m/s^2 = 1.83 s

This is the ascendant time going upward.

The flight time is 2*1.83 = 3.66 s

Horizontal motion

Horizontal velocity = Vx = constant = Vox = Vo*cos(45) = 18.03 m/s

Vx = x / t => x = Vx*t

Horizontal distance = xmax = 18.03m/s*3.66 s = 65.99 m

c) The time the ballon will be in the air was calculated in the part B, it is 18.03 s
5 0
3 years ago
Plz help!! (I just copied and pasted it)
lora16 [44]

Step-by-step explanation:

3d + 4.5g <= 18.

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5 0
3 years ago
Read 2 more answers
For a cube whose side length the lexpression
AleksandrR [38]
Can you give more information?
7 0
2 years ago
A child's sandbox has a length of 5 metres and a width of 4 metres. A uniform sidewalk is to be built around the sandbox with pa
igor_vitrenko [27]
5 meters. The area of the sidewalk has to be 10 meters and has to contain the 20 meter sandbox. The total area is thirty meters, so the length and width of the sidewalk is 6x5
7 0
3 years ago
When 5 times a number is added to 45 the answer is the sm of 85 and 140 what is the number
zimovet [89]

Hello.

First, let the number be r.

5 times r is written like this:

\rm{5r}

Now, add 45:

\mathrm{5r+45}

Now, the sum of 5r+45 is equal to the sum of 85 and 140:

\mathrm{5r+45=85+140}

In order to solve this equation, we need to add 85 and 140:

\mathrm{5r+45=225}

Now, subtract 45 from both sides:

\mathrm{5r+45-45=225-45}

\mathrm{5r=225-45}

\mathrm{5r=180}

The last step is to divide both sides by 5:

\mathrm{r=36}

Therefore, the answer is

\rm{r=36}

I hope it helps.

Have a nice day.

\boxed{imperturbability}

8 0
2 years ago
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