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3 years ago

10

B. The linear scale factor of two similar

1 answer:

svet-max [94.6K]3 years ago

8 0

Answer:

Area of smaller shape = 245 cm²

Step-by-step explanation:

Given:

Scale factor ration [Big shape to small shape] = 14:7

Area of bigger shape = 490 cm²

Find:

Area of smaller shape

Computation:

Area of smaller shape = Area of bigger shape[7 / 14]

Area of smaller shape = 490[7 / 14]

Area of smaller shape = 490[7 / 14]

Area of smaller shape = 35[7]

Area of smaller shape = 245 cm²

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Tan(3x) = 1
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Can you help me with my math questions

GrogVix [38]

$p^2+2(7)p+7^2=(p+7)^2$

Justification:

Given: $p^2+14p+49$

Split the middle term;

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Factor:

$=p(p+7)+7(p+7)$

$=(p+7)(p+7)$

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QUESTION 3a

The given expression for the area of the rectangle is $36x^2-12x+1$ .

This is equal to the indicated area which is $289\;in^2$

This implies that

$36x^2-12x+1=289$

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QUESTION 3b

The given expression for the area of the rectangle is $25x^2-50x+25$ .

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This implies that

$25x^2-50x+25=1225$

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$\Rightarrow l=5(x-1),w=5(x-1)$

This implies that, the dimensions of the rectangle are equal;

Using the square root method, we obtain

$\Rightarrow 5(x-1)=\pm \sqrt{1225}$

$\Rightarrow 5(x-1)=\pm 35$

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We discard the negative value.

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The given expression for the area of the rectangle is $49x^2-56x+16$ .

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Dont forget that the square is also a rectangle.

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