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storchak [24]
3 years ago
6

The 3rd term and 6th term of ageometric progression are

Mathematics
1 answer:
REY [17]3 years ago
6 0

Step-by-step explanation:

a + a r + a r^2 + a r^3 + a r^4 + a r^5 + ar^6

a r^2 = 108

a r^5 =-32

r^5/r^2 = - 32/108 = -8/27

r^3 = -2^3/3^3 =

r = - 2/3

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A l-meter steel rod is bent into a rectangle so that its length exceeds quadruple its width
Dmitry_Shevchenko [17]

Answer:

The dimensions of the newly formed rectangle is length is 41 cm and width is 9 cm.

Step-by-step explanation:

Given,

A 1 meter steel rod is bent into a rectangle.

That means the perimeter of the rectangle is 1 meter.

So, Perimeter = 1\ m=100\ cm

Let the width of the rectangle be 'x'.

Now According to question, length exceeds quadruple its width by 5 cm.

Hence framing the above sentence in equation form, we get;

Length=4x+5

Now we use the formula of  perimeter of rectangle,

Perimeter=2(Length+width)

On substituting the values, we get;

2(4x+5+x)=100\\\\(5x+5)=\frac{100}{2}\\\\5x+5=50\\\\5x=50-5\\\\5x=45\\\\x=\frac{45}{5}=9

Now, we substitute the value of x to get the value of length;

Length=4x+5=4\times9+5=36+5=41\ cm

Thus, Width=9 cm    Length=41 cm

Hence the dimensions of the newly formed rectangle is length is 41 cm and width is 9 cm.

6 0
3 years ago
Need some help with this please
amm1812

Answer: The answer is that he cleaned one room


Step-by-step explanation:

Because he charged in total 77 dollars and he charged 77 dollars per room, so 77*1=77=c

6 0
3 years ago
Bill removed the ten of spades and the king of hearts from a deck of standard playing cards and threw them in the trash. There w
AveGali [126]

Answer:

Step-by-step explanation:

2 if you mean 1 of each so it would be 50 cards

3 0
3 years ago
The handbook of chemistry and physics lists the density of a certain liquid to be 0.7988 g/mL. Taylor experimentally finds this
yan [13]

Answer:

Yes

Step-by-step explanation:

0.7988-0.5= 0.7488

0.7988+0.5= 1.2988

0.7925 lies between these values.

however, are you certain that the question has 0.500 as the uncertainty not 0.050

6 0
2 years ago
Read 2 more answers
The sum of three consecutive odd integers is 87. Which equation could you use to find the three
Alexandra [31]

Answer:

k+(k+2)+(k+4)=87

The largest integer is 31.

Step-by-step explanation:

Hi there!

Let <em>k</em> be equal to the smallest of the integers.

Let (<em>k</em>+2) be the next odd integer.

Let (<em>k</em>+4) be the final odd integer.

We're given that the sum of these three integers is 87. Construct an equation:

k+(k+2)+(k+4)=87

Combine like terms:

k+k+2+k+4=87\\3k+6=87\\3k=81\\k=27

Therefore, the smallest integer is 27. Because the largest integer is k+4, the largest integer is therefore 31.

I hope this helps!

7 0
3 years ago
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