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2 years ago

The area of a rectangle is 32 inches squared. If the length is 8 inches, what is the perimeter of the rectangle?

Mathematics

1 answer:

SOVA2 [1]2 years ago

5 0

Answer:

Step-by-step explanation:

w (width) = 32/8

w = 4

p (perimeter) = 2w + 2l

p = (2 x 4) + (2 x 8)

p = 8 + 16

p = 24

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A leprechaun places a magic penny under a girls pillow. The next night there are 2 magic pennies under her pillow. The following

kiruha [24]

Answer:

After 47 days she will have more than 90 trillion pennies.

Step-by-step explanation:

At the beginning there was 1 penny. At the second day the amount of pennies under the pillow became 2.

The amount of pennies doubled each day. So the series is,

$1,2,4,8,16,32,.....$

This series is in geometric progression.

As the pennies from each of the previous days are not being stored away until more pennies magically appear so the sum of series will be,

$S_n=\dfrac{a(r^n-1)}{r-1}$

where,

a = initial term = 1,

r = common ratio = 2,

As we have find the number of days that would elapse before she has a total of more than 90 trillion, so

$\Rightarrow 90\times 10^{12}\le \dfrac{1(2^n-1)}{2-1}$

$\Rightarrow 90\times 10^{12}\le \dfrac{2^n-1}{1}$

$\Rightarrow 90\times 10^{12}\le 2^n-1$

$\Rightarrow 2^n\ge 90\times 10^{12}+1$

$\Rightarrow \log 2^n\ge \log (90\times 10^{12}+1)$

$\Rightarrow n\times \log 2\ge \log (90\times 10^{12}+1)$

$\Rightarrow n \ge \dfrac{\log (90\times 10^{12}+1)}{\log 2}$

$\Rightarrow n \ge 46.4$

$\Rightarrow n\approx 47$

8 0

3 years ago

The product 3 and a number x is 2/3. What is the value of x? A. X=7/3 B. x=2/9 C. x=2 D. X= 2 1/3

BabaBlast [244]

Answer:

the answer is C.

Step-by-step explanation:

3(2/3)

=3×2/3

=2×3/3

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3 years ago

What is the value of x?

tensa zangetsu [6.8K]

Answer:

X = 5°

Step-by-step explanation:

180° on a straight line.

180 - 100 = 80 angle ABC = 80°

angle ACB is vertically opposite to the 60° given

ACB = 60°

180 - 80 - 60 = 7x+5

40 = 7x + 5

7x = 35

X = 5

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3 years ago

An object is moved at a constant speed of 20m/s for 4s

konstantin123 [22]

Answer:

80 m is distance traveled

Step-by-step explanation:

if object moves at 20m/s, then in 4 seconds the expression 20 x 4 is used to get 80. 80 m traveled

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2 years ago

Solve proportion for x 3/2x+5 = 1/9x A. 1/5 B. 1/2 C.5/3 D.16/5

VikaD [51]

I know this but I can't remember how to do the process.

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3 years ago

The area of a rectangle is 32 inches squared. If the length is 8 inches, what is the *perimeter* of the rectangle?

The area of a rectangle is 32 inches squared. If the length is 8 inches, what is the perimeter of the rectangle?