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2 years ago

Find the missing side length 12 cm 1,200 cm 20 cm ____ cm

Mathematics

1 answer:

Korvikt [17]2 years ago

3 0

Answer:

Missing side length is 5 cm.

Step-by-step explanation:

<u>Multiply 20 by 12:</u>

20 * 12 = 240.

<u>Multiply 240 by 5:</u>

240 * 5 = 1200.

<u>Multiply the lengths:</u>

20 * 12
= 240 * 5
= 1200.

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Given the sequence in the table below, determine the sigma notation of the sum for term 4 through term 15. N an 1 4 2 −12 3 36 t

Rzqust [24]

By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is $\sum_{n=4}^{15} 5(-2)^{n-1}$$$

<h3>What is sequence ?</h3>

Sequence is collection of numbers with some pattern .

Given sequence

$a_{1}=5\\\\a_{2}=-10\\\\\\a_{3}=20$

We can see that

$\frac{a_1}{a_2}=\frac{-10}{5}=-2\\$

and

$\frac{a_2}{a_3}=\frac{20}{-10}=-2\\$

Hence we can say that given sequence is Geometric progression whose first term is 5 and common ratio is -2

Now $n^{th}$ term of this Geometric progression can be written as

$T_{n}= 5\times(-2)^{n-1}$

So summation of 15 terms can be written as

$\sum_{n=4}^{15} T_{n}\\\\$\\$\sum_{n=4}^{15} 5(-2)^{n-1}$$$

By applying basic property of Geometric progression we can say that sum of 15 terms of a sequence whose first three terms are 5, -10 and 2 is $\sum_{n=4}^{15} 5(-2)^{n-1}$$$

To learn more about Geometric progression visit : brainly.com/question/14320920

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2 years ago

A car depreciated $1000 the first year it was owned and driven. In years 2 and

Sidana [21]

AAnswer:

Step-by-step explanation:

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2 years ago

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I think its 2, 150 but just making sure.

mina [271]

Answer:

The answer is 2,150

Step-by-step explanation:

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3 years ago

Sean tossed a coin off a bridge into the stream below. The path of the coin can be represented by the equation h = -16t2 + 72t +

boyakko [2]

Answer:

about 5.613 seconds

Step-by-step explanation:

Using the quadratic formula to find the value of t when h = 0, we have ...

at² +bt +c = 0

t = (-b±√(b²-4ac))/(2a)

t = (-72±√(72² -4(-16)(100)))/(2(-16))

t = (-72±√11584)/-32 = (9±√181)/4

Only the positive value of t is of interest.

The coin will hit the stream after (9+√181)/4 seconds ≈ 5.613 seconds.

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3 years ago

Solve for p.<br> -p - 1 = 5 - 9p + 10p

Darina [25.2K]

Answer:

p= 1/3 or 0.33 repeating

Step-by-step explanation:

5-19p=-p-1

5=18p-1

6=18p

divide by 18

6/18 = 1/3 or 0.33 repeating

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3 years ago

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Find the missing side length 12 cm 1,200 cm 20 cm ____ cm​

Find the missing side length 12 cm 1,200 cm 20 cm ____ cm