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MA_775_DIABLO [31]
3 years ago
8

Which of the following equations represents the Pythagorean theorem? c = a + b ab = ba

Mathematics
2 answers:
luda_lava [24]3 years ago
8 0
The theorem is a²+b²=c²
Rewritten it is √(a²+b²) = c
algol [13]3 years ago
5 0
The correct answer is:  " c = √(a² + b²) " .
_________________________________________
Explanation:
_________________________________________
The Pythagorean theorem is:  a² + b² = c² .

↔   c² = a² + b² ;

Take the square root of EACH SIDE OF THE EQUATION;

→  √(c²) = √(a² + b²) ;

→  c =  √(a² + b²) ; which is one of the two answer choices given; which is correct.
_____________________________________________
Note:  The other answer choice given:

m = (y₂ − y₁) / (x₂ − x₁) ;  refers to the calculation of the slope of a line; given an equation for a line, in "slope-intercept form"; that is, "y = mx +b" ;  in which "m" is the slope, given the coordinate of two points on the line: 
________________________________________________
            →   (x₁, y₁) ;  and:   (x₂, y₂)  ;
_______________________________________

which is NOT related to the "Pythagorean theorem" equation.
__________________________________________________

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A paper is 0.55 mm thick. How high pile of 274 sheets? The paper is 24.5 long and 18.5 cm wide. Calculate volume of the pile of
strojnjashka [21]

The height of the pile is 150.7 mm, and the volume is V = 6,830,477.5 mm³.

<h3>How high will be the pile of papers?</h3>

We know that each paper is 0.55mm thick, then if we pile 274 of these, the height of the pile will be:

H = 0.55mm*274 = 150.7mm

Now we want to get the volume of the pile of paper. Remember that for a rectangular prism of height H, width W, and length L, the volume is:

V = H*W*L

In this case, we have:

  • H = 150.7mm
  • W = 18.5 cm = 185 mm
  • L = 24.5 cm = 245 mm

Then the volume is:

V = (150.7mm)*(185 mm)*(245 mm) = 6,830,477.5 mm³

If you want to learn more about volumes:

brainly.com/question/1972490

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5 0
2 years ago
I need help, please. it would mean a lot I need it now
fomenos

Answer:

60 feet

Step-by-step explanation:

a - 2x

b - x

c - 3x

120/6 = 20

20 x 3 = 60

8 0
4 years ago
Read 2 more answers
Please explain every step
pogonyaev
<h3>Answer:</h3>

761680

<h3>Explanation:</h3>

\sf \boxed{\sum _{n=1}^{44}\:60\left(1.2\right)^{n-2}}

<u>Identify the following's</u>:

First Term [a]  =  60(1.2)ⁿ⁻² = 60(1.2)¹⁻² = 50

Common ratio [r]  =  1.2

Total Terms [n] =  44

===========================

\sf Geometric \ Sum \ of  \ Terms = \dfrac{a(r^n - 1)}{r-1}

===========================

Solving Steps:

<em />\rightarrow \sf \dfrac{a(r^n - 1)}{r-1}<em />

<em />

<em />\rightarrow \sf \dfrac{50(1.2^{44} - 1)}{1.2-1}<em />

<em />

<em />\rightarrow \sf 761679.5808<em />

<em />

\rightarrow \sf 761680 \ \ \  (rounded \ to \ nearest \ integer)

8 0
2 years ago
It's the 11th day of autumn and the first leaf has fallen! If the number of leaves on the ground is tripling with each passing d
AlekseyPX

Answer: 1,594,323

Step-by-step explanation:

No of leaves which falls daily on the first day = 1

No of days leaves falls = 14 days.

Solution:

No of leaves of day 1

= 1.

No of leaves on day 2

= 1*3

= 3

No of leaves of day 3

= 3*3

= 9

No of leaves of day 4

= 9*3

= 27

No of leaves on day 5

= 27*3

= 81

No of leaves on day 6.

= 81*3

= 243.

No of leaves of day 7

= 243*3

= 729

No of leaves on day 8

= 729 * 3

= 2187

No of leaves on day 9

= 2187 *3

= 6561

No of leaves on day 10

= 6561 * 3

= 19683

No of leaves on day 11

= 19683 * 3

= 59049

No of leaves on day 12

= 59049 *3

= 177147

No of leaves on day 13

= 531441

No of leaves on day 14

= 531441 * 3

= 1,594,323.

The number of leaves that would be on the ground on the 24th day of autumn would be 1,594,323

8 0
3 years ago
need help ASAP plz
ruslelena [56]
First shape: no parallel nor perpendicular

Second shape: parallel sides

Third shape: parallel sides

Fourth shape: perpendicular sides

Fifth: perpendicular sides

Hope this helps!! Have a nice day!!
8 0
3 years ago
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