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3 years ago

Find the eighth term of the

Mathematics

1 answer:

Pie3 years ago

7 0

Answer:

see explanation

Step-by-step explanation:

The n th term of a geometric sequence is

$a_{n}$ = a₁ $(r)^{n-1}$

where a₁ is the first term and r the common ratio, hence

$a_{8}$ = 6 × $(-1/3)^{7}$ = 6 × - $\frac{1}{3^{7} }$ = 6 × - $\frac{1}{2187}$ = - $\frac{2}{729}$

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A custom rectangular tabletop has a length that is twice it’s width, and the tabletop measures 76 inches on its diagonal. What a

Sunny_sXe [5.5K]

Answer:

<em>The dimensions of the tabletop: Length= 67.976... inches and Width= 33.988... inches and the perimeter will be 203.929... inches.</em>

Step-by-step explanation:

Suppose, the width of the rectangular tabletop is $x$ inch.

As the tabletop has a length that is twice it’s width, so the length will be: $2x$ inch.

The tabletop measures 76 inches on its diagonal.

<u>Formula for length of diagonal of rectangle</u>: $d=\sqrt{l^2+w^2}$

So, the equation will be..........

$76=\sqrt{(2x)^2+ x^2}\\ \\ 76=\sqrt{4x^2+x^2} \\ \\ 76=\sqrt{5x^2} \\ \\ 5x^2= 76^2= 5776\\ \\ x^2= \frac{5776}{5}=1155.2 \\ \\ x= \sqrt{1155.2} =33.988...$

Thus, the width of the tabletop is 33.988... inches and the length will be: (2×33.988...) = 67.976... inches.

The perimeter will be: 2(33.988...+ 67.976...) inches = 203.929... inches.

5 0

3 years ago

Hi please helpppppppp

sertanlavr [38]

Answer:

The answer is C

Step-by-step explanation:

Hope it helps:)))

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4 0

2 years ago

Using the equation y=76(1.013)x the table shown represents the population of the U.S. for each of the four years following 1900.

Lyrx [107]

I’ll say about 45 because one year hurt but my bones hurt one time and they did not like it

7 0

3 years ago

If Addison types at a constant rate of 2 pages per hour, how many hours will it take to type a paper that is 5 pages long?

LUCKY_DIMON [66]

Answer:

2.5 hours

Step-by-step explanation:

Find unit rate so 1 page per 30 mins. 30 x 5 = 150 minutes. Since it asks for hours, 150/60= 2 hours and 30 minutes or 2.5 hours

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2 years ago

Read 2 more answers

Help plzzzzzz.........

liubo4ka [24]

Answer:

quotient= 12

divisor= 3

divident= 36

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3 years ago