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STALIN [3.7K]
3 years ago
15

Find the sum of the first 5 terms of the following geometric series. 512 - 256 + 128 +...

Mathematics
1 answer:
olga55 [171]3 years ago
3 0

Answer:

352

Step-by-step explanation:

512 - 256 + 128 - 64 + 32 = 352

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Answer:

a) 188 fishes

b) 1259 fishes

Hope this helps!

4 0
2 years ago
I need your help guys !!!!!!!!
Ber [7]

\bold{\huge{\blue{\underline{ Solution}}}}

\bold{\underline{ We \: have \:given \: that, }}

  • <u>Distance </u><u>between </u><u>the </u><u>house </u><u>and </u><u>tower </u><u>is </u><u>3</u><u>5</u><u> </u><u>m</u>
  • <u>The </u><u>height </u><u>of </u><u>the </u><u>tower </u><u>is </u><u>6</u><u>0</u><u> </u><u>m </u>
  • <u>The </u><u>height </u><u>of </u><u>the </u><u>house </u><u>is </u><u>2</u><u>5</u><u> </u><u>m</u>

\bold{\underline{ Now}}

  • <u> </u><u>Height</u><u> </u><u>of </u><u>the </u><u>house </u><u>is</u><u> </u><u>2</u><u>5</u><u>m</u>

\bold{\underline{ So, }}

\sf{ CE = 25m }

<u>Therefore</u><u>, </u>

\sf{ AB = AD - CE }

\sf{ AB = 60 - 25  }

\sf{ AB = 35 m }

<u>Now</u><u>, </u><u> </u><u>In </u><u>Right </u><u>angled </u><u>ABC</u>

\bold{tan Φ =}{\bold{\frac{ AB}{BC}}}

\bold{tan Φ =}{\bold{\frac{ 35}{35}}}

\bold{ tan Φ = 1 }

\bold{ tan Φ = 45 °}

\sf{\red{Hence, \: The \:angle \:of \:depression\: is \:45°}}

7 0
2 years ago
Samantha is using a 2-liter pitcher to serve lemonade to 10 of her friends. How many times will she need to fill the pitcher in
Mice21 [21]

Answer: 2 times

Step-by-step explanation:

Hi, since 1000 milliliters = 1 liter

We have to convert the 2 liters into milliliters:

2 x 1000 = 2000 milliliters, so she is using a 2,000 milliliters pincher.

Now we have to multiply the number of friends (10) by the amount of lemonade she serves to each one (400 ml)

400 x 10 = 4,000 milliliters

Finally, we have to divide the amount of lemonade she needs to serve (4,000 ml) by the capacity of the pitcher (2,000), to obtain the number of times that she will need to fill the pitcher.

4,000/2,000=2 times

Feel free to ask for more if needed or if you did not understand something.

4 0
3 years ago
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Answer:

3

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