The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).

Mathematics

1 answer:

Mrac [35]3 years ago

8 0

It seems like it is dividing by 4 every time.
Then, the answer is 1/4/4/4 which is approximately 0.016

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Past the core

Basile [38]

Answer:

Building's shadow length = 180 feet.

Step-by-step explanation:

Given:

A 50-foot flagpole is at the entrance of a building that is 300 feet tall.

Its forms a right angled triangle from both ends,both of them are similar because the angle of the sun is the same at the same time of day.

From similar triangle property we can say that.

⇒ length of the building shadow times height of the flagpole's = length of the flagpole's shadow times height of the building

$\frac{length\ of\ the\ building\ shadow}{height\ of\ the\ building} =\frac{length\of\ the\ flagpole's\ shadow}{height\ of\ the\ flagpole's}$

Plugging the values in the above equation we have,

Let length of the building shadow ='x' feet

⇒ $\frac{x}{300} =\frac{30}{50}$

⇒ $\frac{x}{300}\times 300 =\frac{30}{50}\times 300$

⇒ $x=\frac{300\times 30}{50}$

⇒ $x=\frac{9000}{50}$

⇒ $x=180$ feet.

So the length of the building shadow is 180 feet.

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=%28x%20%2B%20k%29%20%7B%7D%5E%7B2%7D%20%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%201x%20%2B%20%20

ozzi

If we take the equation and multiply out the left side, we get....

$x^{2}$ + 2xk + $k^{2}$ = $x^{2}$ + x + $k^{2}$

The x^2 and k^2 cancel out on both sides leaving us with this...

2kx = x

If we divide both sides by 2x to isolate k, k ends up = 1/2

4 0

4 years ago

Needing a answer ASAP! TYYY

dolphi86 [110]

Answer: 840 feet squared

Step-by-step explanation: 24ft * 35ft = 840

4 0

3 years ago

Read 2 more answers

Select whether each system of equations has no solution, one solution, or infinitely many solutions.

Firdavs [7]

I’m not sure!!!!!!!!!!!!!!!!!!