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3 years ago

A rectangle has a length 3x-1 and a width 2x. What is the perimeterof the rectangle

Mathematics

2 answers:

natali 33 [55]3 years ago

7 0

Answer:

10x-2

Step-by-step explanation:

We know the length is 3x-1. There are two lengths in a rectangle. Therefore, we multiply 3x-1 by 2 to get 6x-2. That is the sum of the two lengths.

Now for the width. Just as with the length there are two widths in a rectangle. After multiplying 2x by 2, we get 4x. That is the sum of the two widths.

To get the perimeter, we need to add both the lengths and both the widths together. Using what we did before, we add 4x + 6x - 2 to get 10x - 2 Hope this helps :)

goblinko [34]3 years ago

5 0

The perimeter of rectangle is 10x-2

please see the attached picture for full solution

Hope it helps

Good luck on your assignment...

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3 years ago

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Step2247 [10]

Answer:

A. t > 2.5

Step-by-step explanation:

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3 0

3 years ago

Determine if diverges, converges, or converges conditionally.

TEA [102]

The given series is conditionally convergent. This can be obtained by using alternating series test first and then comparing the series to the harmonic series.

<h3>Determine if diverges, converges, or converges conditionally:</h3>

Initially we need to know what Absolute convergence and Conditional convergence,

If $\sum|a_{n} |$ → converges, and $\sum a_{n}$ → converges, then the series is Absolute convergence

If $\sum|a_{n} |$ → diverges, and $\sum a_{n}$ → converges, then the series is Conditional convergence

First use alternating series test,

$\lim_{k \to \infty} \frac{k^{5} +1}{k^{6}+11 }$ = $\lim_{n \to \infty} \frac{5}{6k}$ = 0,

The series is a positive, decreasing sequence that converges to 0.

Next by comparing the series to harmonic series,

$\sum^{\infty} _{k=2}|(-1)^{k+1} \frac{k^{5} +1}{k^{6}+11 }|=\sum^{\infty} _{k=2}\frac{k^{5} +1}{k^{6}+11 }$ ≈ $\sum^{\infty} _{k=2}\frac{1}{k}$ = 0

This implies that the series is divergent by comparison to the harmonic series.

First we got that the series is converging and then we got the series is divergent. Therefore the series is conditionally convergent.

$\sum|a_{n} |$ → diverges, and $\sum a_{n}$ → converges, then the series is Conditional convergence.

Hence the given series is conditionally convergent.

Learn more about conditionally convergent here:

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7 0

2 years ago

Read 2 more answers

Please help no links or ill report

Masja [62]

Step-by-step explanation:

the answer is 105

?=1/2(UJ+ST)arc

?=1/2(50+160)

?=1/2(210)

?=105

7 0

3 years ago

Four ingredients costing $320 per kg, $240 per kg, $160 per kg and $80 per kg are mixed so that their masses are in the ratio 4:

Mariulka [41]

Answer:

$2160

Step-by-step explanation:

(320*4)+(240*1)+(160*3)+(80*2) = 2160

6 0

3 years ago