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Sedbober [7]
2 years ago
7

Someone help me with maths questions pls about pythagoras, ill give u brainliest

Mathematics
1 answer:
Marat540 [252]2 years ago
6 0

Answer:

11.183 cm and 22.366 cm

Step-by-step explanation:

Lets call the 25 cm hypotenuse C and the other sides A and B.

B=2A

The Pythagorean theorem states that C^2=A^2+B^2 so:

25^2=A^2+B^2

substitute for B

25^2=A^2+(2A)^2

625=A^2+4A^2

625=5A^2

125=A^2

A=11.183 cm

B=22.366 cm

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Dmitriy789 [7]

4926.25965251

I used a calculator because it makes solving this much easier

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Order the numbers from least to greatest. 3 and thirty nine fortieths, 3 and nineteen twentieths, 3 and one half.
Assoli18 [71]
3 39/40 = 3.975
3 19/20 = 3.95
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least to greatest : 3 1/2, 3 19/20, 3 39/40
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Marcus purchases 75 shares of stock. A year after purchasing the stocks, the value of the stock is $2 less per share. Write a mu
katrin [286]
75(x-2) where x represents the amount originally paid

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3 years ago
Given the sequence 1/2 ; 4 ; 1/4 ; 7 ; 1/8 ; 10;.. calculate the sum of 50 terms
miv72 [106K]

<u>Hint </u><u>:</u><u>-</u>

  • Break the given sequence into two parts .
  • Notice the terms at gap of one term beginning from the first term .They are like \dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8} . Next term is obtained by multiplying half to the previous term .
  • Notice the terms beginning from 2nd term , 4,7,10,13 . Next term is obtained by adding 3 to the previous term .

<u>Solution</u><u> </u><u>:</u><u>-</u><u> </u>

We need to find out the sum of 50 terms of the given sequence . After splitting the given sequence ,

\implies S_1 = \dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8} .

We can see that this is in <u>Geometric</u><u> </u><u>Progression </u> where 1/2 is the common ratio . Calculating the sum of 25 terms , we have ,

\implies S_1 = a\dfrac{1-r^n}{1-r} \\\\\implies S_1 = \dfrac{1}{2}\left[ \dfrac{1-\bigg(\dfrac{1}{2}\bigg)^{25}}{1-\dfrac{1}{2}}\right]

Notice the term \dfrac{1}{2^{25}} will be too small , so we can neglect it and take its approximation as 0 .

\implies S_1\approx \cancel{ \dfrac{1}{2} } \left[ \dfrac{1-0}{\cancel{\dfrac{1}{2} }}\right]

\\\implies \boxed{ S_1 \approx 1 }

\rule{200}2

Now the second sequence is in Arithmetic Progression , with common difference = 3 .

\implies S_2=\dfrac{n}{2}[2a + (n-1)d]

Substitute ,

\implies S_2=\dfrac{25}{2}[2(4) + (25-1)3] =\boxed{ 908}

Hence sum = 908 + 1 = 909

7 0
3 years ago
Is 0.045 greater than 0.00195​
andrezito [222]

Answer:

yes

Step-by-step explanation:

0.045 is greater than 0.00195

4 0
2 years ago
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