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3 years ago

A rectangle has a width of 5 cm and a length of 10 cm. If the width is increased by 3, how does the perimeter change?

Mathematics

2 answers:

kondaur [170]3 years ago

5 0

Answer:

The perimeter changed by 6 cm.

Step-by-step explanation:

A rectangle has a width of 5 cm and a length of 10 cm.

The perimeter is = 2(length+width)

Perimeter = $2(10+5)$

= $2(15)$

= 30 cm

When the width is increased by 3, and lets assume that the length is same .

So, length is 10 cm and width is 8 cm.

Perimeter = $2(10+8)$

= $2(18)$

= 36 cm

Change in perimeter = $36-30=6$ cm

So, the perimeter changed by 6 cm.

wariber [46]3 years ago

4 0

Answer:

The new perimeter would be 36cm.

Step-by-step explanation:

The perimeter would change because you add 3 to two sides, because the perimeter originally was 5+5+10+10. Now, it's (5+3)+(5+3)+10+10. Which is 36.

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Leo's bank balances at the end of months 1, 2, and 3 are $1500, $1530, and $1560.60,

grandymaker [24]

Leo's balance after 9 months will be: $1757.49

Step-by-step explanation:

It is given that the balances follow a geometric sequence

First of all, we have to find the common ratio

Here

$a_1 = 1500\\a_2 = 1530\\a_3 = 1560.60$

Common ratio is:

$r = \frac{a_2}{a_1} = \frac{1530}{1500} = 1.02\\r = \frac{a_3}{a_2} = \frac{1560.60}{1530} = 1.02$

So r = 1.02

The general form for geometric sequence is:

$a_n = a_1r^{n-1}$

Putting the first term and r

$a_n = 1500 . (1.02)^{n-1}$

To find the 9th month's balance

Putting n=9

$a_9 = 1500 . (1.02)^{9-1}\\= 1500.(1.02)^8\\=1757.4890$

Rounding off to nearest hundredth

$1757.49

Hence,

Leo's balance after 9 months will be: $1757.49

Keywords: Geometric sequence, balance

Learn more about geometric sequence at:

#LearnwithBrainly

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3 years ago

The magnitude scale for earthquakes is based on powers of 10. A magnitude 8 earthquake represents 108, while a magnitude 3 earth

Dmitry_Shevchenko [17]

Answer:

1.049

Step-by-step explanation:

Divide 103 into 108

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3 years ago

9c + 6 = 24 what does the variable c equal

NARA [144]

Answer:

c = 2

Step-by-step explanation:

Isolate the variable, c. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& roots)

Multiplications

Divisions

Additions

Subtractions

First, subtract 6 from both sides of the equation:

9c + 6 (-6) = 24 (-6)

9c = 24 - 6

9c = 18

Next, divide 9 from both sides of the equation:

(9c)/9 = (18)/9

c = 18/9

c = 2

c = 2 is your answer.

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2 years ago

Read 2 more answers

Hii plss helpp quick i have 3 minn

Alexandra [31]

1) 2.625 miles
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2 years ago

Find the volume of a cylinder with radius 5.7cm and height 10 cm, correct to 1 decimal place

Veseljchak [2.6K]

$\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5.7\\ h=10 \end{cases}\implies \begin{array}{llll} V=\pi (5.7)^2(10)\implies V=324.9\pi \\\\\\ V\approx 1020.7 \end{array}$

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2 years ago