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2 years ago

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A prism has a length of 5 meters, height of 6 meters, and width of 1 meter.

2 answers:

photoshop1234 [79]2 years ago

7 0

Answer is 30 M3 hope this helps.

Svetradugi [14.3K]2 years ago

4 0

Answer: 30 m3 (meters cubed)

Step-by-step explanation:

To get the volume of a rectangular prism, multiply the width times the length times the height.

1 x 5 x 6 = 30

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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

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2 years ago

Find the value of each trigonometric ratio.

Tasya [4]

Answer: 40/41

Step-by-step explanation:

The cosine can be represented as adjacent/hypotenuse. Thus, the cosine of C is 40/41

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3 years ago

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Can someone help me please

Olenka [21]

Answer:

A. y = 10x +5

Step-by-step explanation:

For 0, is 5

For 1 is 15 so on

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2 years ago

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Very short answer type questions:. (5×2=10)

Vilka [71]

Adivasi 4:367 on edge

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2 years ago

2x + y -z=9<br> -x + 6y + 2z =- 17<br> 5x + 7y +z = 4

Effectus [21]

Answer:

Step-by-step explanation:

What is y?

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3 years ago