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bagirrra123 [75]
3 years ago
13

HEY!!! YES, YOU!!! WANNA HELP OUT A FELLOW SUFFERING VICTIM OF MATH? NOWS YOUR CHANCE!!! PLEASE HELP! 10 PTS!!!

Mathematics
1 answer:
rosijanka [135]3 years ago
5 0

Answer:

16 cm

Step-by-step explanation:

Suppose that x is the original width. If that original width is enlarged by a scale factor 5/2 that means that x is multiplied by 5/2 and after that multiplication we obtained new width, 40 cm.

Therefore,

x*(5/2) = 40

We multiply the equation by 2 and obtain:

x*5 = 40*2

5x = 80

Now we divide the equation by 5 and obtain:

x = 80/5

x = 16

We obtained that x, the original width was 16 cm

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Fill in the blank with a number to make the expression a perfect square.
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Answer: 36

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3 0
3 years ago
Please help right away.
Travka [436]

\sum\limits_{k=1}^{\infty}420\left(\dfrac{1}{6}\right)^{k-1}

The infinite geometric series is converges if |r| < 1.

We have r=1/6 < 1, therefore our infinite geometric series is converges.

The sum S of an infinite geometric series with |r| < 1 is given by the formula :

S=\dfrac{a_1}{1-r}

We have:

a_1=420\left(\dfrac{1}{6}\right)^{1-1}=420\left(\dfrac{1}{6}\right)^0=420\\\\r=\dfrac{1}{6}

substitute:

S=\dfrac{420}{1-\frac{1}{6}}=\dfrac{420}{\frac{5}{6}}=420\cdot\dfrac{6}{5}=84\cdot6=504

Answer: d. Converges, 504.

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3 years ago
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We use the Pythagoras theorem:

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