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2 years ago

Look at the given triangles.

Mathematics

1 answer:

aleksklad [387]2 years ago

4 0

Blue: P=4x +2+7x +7+5x-4 --> 16x +9-4=16x +5

Red: P=x+3+2x - 5 + x + 7 --> 4x + 10 - 5 = 4x + 5

Difference between the perimeter:

(16x + 5) - (4x + 5) = 16x + 5 - 4x - 5 = 12x

Perimeter when x = 3

Blue : 16x + 5 ⇒ 16(3) + 5 = 48 + 5 = 53

Red: 4x + 5 ⇒ 4(3) + 5 = 12 + 5 = 17

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Step-by-step explanation:

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3 years ago

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2 years ago

Is the point (2,4) a solution of y <= -4x + 12?<br> HELP ASAP

Natasha2012 [34]

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3 years ago

Use an x&y to graph the function below f(x) = - (x+2)^3+1

kenny6666 [7]

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3 years ago

A rectangular prism has a width of 51 ft and a volume of 144 ft3. Find the volume of a similar prism with a width of 17 ft. Roun

meriva

Answer:

$5.3\ ft^3$

Step-by-step explanation:

Similar shapes with scale factor $k$ have proportional volumes with coefficient $k^3$ i.e.

$\dfrac{V_{large}}{V_{small}}=k^3,$

where

$k=\dfrac{\text{width of large prism}}{\text{width of small prism}}.$

Since

$\text{width of large prism}=51\ ft,\\ \\\text{width of small prism}=17\ ft,$

then

$k=\dfrac{51}{17}=3.$

Hence,

$\dfrac{144}{V_{small}}=3^3\Rightarrow V_{small}=\dfrac{144}{27}=\dfrac{16}{3}=5\dfrac{1}{3}\approx 5.3\ ft^3.$

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3 years ago