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jolli1 [7]
3 years ago
14

Given the similar pyramids pictured below.

Mathematics
1 answer:
Citrus2011 [14]3 years ago
5 0

Answer:

  1400 cm²

Step-by-step explanation:

The ratio of volumes of similar figures is the cube of the scale factor. Here, that is 3125/675 = sf³. That means the scale factor is ∛(3125/675) = 5/3.

The ratio of areas of similar figures is the square of the scale factor. Here, that is (5/3)² = 25/9.

The area of the larger pyramid is 25/9 times the area of the smaller one:

  A = (25/9) × 504 cm² = 1400 cm²

The surface area of pyramid 2 is 1400 cm².

_____

<em>Additional comment</em>

You don't need to find the scale factor. You can jump directly to the fact that the surface area multiplier is the 2/3 power of the volume ratio.

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The sum of two numbers is 186.The difference between the same numbers is 32. What are the two numbers?
ad-work [718]
182 divided by 2 is 93.Then you subtract 32 from 93 and get 61.SO they two numbers you are looking for is 93 and 61

6 0
4 years ago
Rationalise the denominator of: (√3 + √2)/(√3-√2) = ?<br>​
krok68 [10]

Step-by-step explanation:

<h3><u>Given</u><u>:</u><u>-</u></h3>

(√3+√2)/(√3-√2)

<h3><u>To </u><u>find</u><u>:</u><u>-</u></h3>

<u>Rationalised</u><u> form</u><u> </u><u>=</u><u> </u><u>?</u>

<h3><u>Solution</u><u>:</u><u>-</u></h3>

We have,

(√3+√2)/(√3-√2)

The denominator = √3-√2

The Rationalising factor of √3-√2 is √3+√2

On Rationalising the denominator then

=>[(√3+√2)/(√3-√2)]×[(√3+√2)/(√3+√2)]

=>[(√3+√2)(√3+√2)]×[(√3-√2)(√3+√2)]

=>(√3+√2)²/[(√3-√2)(√3+√2)]

=> (√3+√2)²/[(√3)²-(√2)²]

Since (a+b)(a-b) = a²-b²

Where , a = √3 and b = √2

=> (√3+√2)²/(3-2)

=> (√3-√2)²/1

=> (√3+√2)²

=> (√3)²+2(√3)(√2)+(√2)²

Since , (a+b)² = a²+2ab+b²

Where , a = √3 and b = √2

=> 3+2√6+2

=> 5+2√6

<h3><u>Answer:-</u></h3>

The rationalised form of (√3+√2)/(√3-√2) is 3+2√6+2.

<h3><u>Used formulae:-</u></h3>

→ (a+b)² = a²+2ab+b²

→ (a-b)² = a²-2ab+b²

→ (a+b)(a-b) = a²-b²

→ The Rationalising factor of √a-√b is √a+√b

8 0
3 years ago
A rope 25 feet long is cut into 3 pieces. The forest piece is 2x feet long, the second piece is 5x feet long, and he third piece
Gnoma [55]
(a) 2x + 5x + 4 = 25 <== ur equation
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(b) first piece = 2x....= 2(3) = 6 ft <=
     second piece = 5x....= 5(3) = 15 ft <=
8 0
4 years ago
What is the value of x in the equation −x = 4 − 3x + 6?<br><br> 5<br> 10<br> −5<br> −10
ddd [48]
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Isolate the x, add 3x to both sides

-x (+3x) = 10 - 3x (+3x)

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Simplify. Combine like terms

-x + 3x = 10

2x = 10

Isolate the x, divide 2 from both sides

2x/2 = 10/2

x = 10/2

x = 5

x = 5, or A is your answer

hope this helps
8 0
3 years ago
Read 2 more answers
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AysviL [449]

Answer:

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Step-by-step explanation:

This becomes 8 ^ x/4  ^ 1/3

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8 0
3 years ago
Read 2 more answers
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