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Likurg_2 [28]
3 years ago
5

If the dimensions of a pentagonal prism are quadrupled, then the surface area of the prism is multiplied by eight.

Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
8 0

Answer:

false

Step-by-step explanation:

the relationship between lengths/dimensions and areas is that areas are created by multiplying 2 dimensions.

when you quadruple (×4) the dimensions, then the areas are growing with the square of the factor (×4×4 = ×16), because the factor goes twice into the multiplication : one time for every dimension involved.

so, quadrupling the dimensions would multiply the areas by 16.

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kogti [31]

Answer:

r = 6

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

PR² = PQ² + QR² , substitute values

(r + 4)² = r² + 8²

r² + 8r + 16 = r² + 64 ( subtract r² from both sides )

8r + 16 = 64 ( subtract 16 from both sides )

8r = 48 ( divide both sides by 8 )

r = 6

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Jane is saving to buy a cell phone. She is given a $100 gift to start and saves me
Dmitriy789 [7]

Answer:

See explanation

Step-by-step explanation:

Jane is given a $100 gift to start and saves $35 a month from her allowance.

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In general, after x months Jane has saved

\$100+x\cdot \$35=\$(100+35x).

This means that it makes sense to represent the relationship between the amount saved and the number of months with one constant rate (in this case the constant rate is 35). It makes sense because the amount of money increases by $35 each month. Since the amount of increase is constant, we get constant rate. Also the initial amount is known ($100), so there is a possibility to write the equation of linear function representing this situation.

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zhenek [66]

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Step-by-step explanation:

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kolezko [41]

Answer: $388.5

Step-by-step explanation:

Total cost = cost + sales tax

Given that cost = $370

Sales tax = 5% of $370

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Total cost = $370 + $18.5

= $388.5

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Answer:

2 (x - 2) (x + 9)

Step-by-step explanation:

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