The ratio of areas of similar figures is the square of the ratio of linear dimensions. That means the ratio of linear dimensions is the square root of the area ratio. The ratio of the smaller triangle dimensions to the larger is then ...

k = √((8 cm^2)/(18 cm^2)) = √(4/9) = 2/3

Then the corresponding side of the smaller triangle is ...

... k · (4.5 cm) = (2/3)·(4.5 cm) = 3 cm

5 0

3 years ago

Which or the following is the radical expression of 4d3/8

stira [4]

Answer:

$\boxed{4 \sqrt[8]{ {d}^{3} } }$

Step-by-step explanation:

$= > 4 {d}^{ \frac{3}{8} } \\ \\ = > 4({d}^{3 \times \frac{1}{8} }) \\ \\ = > 4( {d}^{3} \times {d}^{ \frac{1}{8} } ) \\ \\ = > 4( {d}^{3} \times \sqrt[8]{d} ) \\ \\ = > 4 \sqrt[8]{ {d}^{3} }$

3 0

3 years ago

Factor the expression<br> 7x^2 + 50x + 7<br> (Type your answer in factored form.)

alina1380 [7]

Answer: (7x + 1)(x + 7)

Step-by-step explanation:

$Factor the following:$$7 x^{2}+50 x+7$$Factor the quadratic $7 x^{2}+50 x+7$. The coefficient of $x^{2}$ is 7 and the constant term is 7. The product of 7 and 7 is 49 . The factors of 49 which sum to 50 are 1 and 49. So:\\\\ $7 x^{2}+50 x+7\\=7 x^{2}+49 x+x+7\\=7(7 x+1)+x(7 x+1)$ \\\\Factor $7 x+1$ from $7(7 x+1)+x(7 x+1)$ :$$\\\\Answer:(7 x+1)(x+7)$

3 0

2 years ago

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