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3 years ago

6

If the square ABCD is dilated by a scale factor of 2 to form A'B'C'D', what is the ratio of the area of A'B'C'D' to the area of

ABCD

2 answers:

Sunny_sXe [5.5K]3 years ago

8 0

Answer:

4:1

Step-by-step explanation:

If the side length x is dilated to 2x, the area x² will dilate to (2x)² = 4x², which is 4 times the original x².

Ber [7]3 years ago

8 0

Answer:

1:4 C

Step-by-step explanation:

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A dinner order at a restaurant consists of a salad with dressing, an entrée, and three sides. The menu offers a salad with your

Gemiola [76]

Answer:

1008 possible dinner orders

Step-by-step explanation:

There are 3 possible salads, 4 possible entrees, and 9 possible sides.

Each dinner has 1 salad, 1 entree, and 3 sides.

Using combinations,

C(3,1) * C(4,1) * C(9,3) = 3 * 4 * 84 = 1008

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4 years ago

Read 2 more answers

Calculate the value of the following 3/7-4/5

melamori03 [73]

Answer:

7/5 78998 7.8.9 +.77 11132

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3 years ago

Trigonometric question, 30 points, will give brainliest.

zheka24 [161]

hmmm first off let's convert the √3 +i to trigonometric form, and then use De Moivre's root theorem, bearing in mind that √3 and i or 1i are both positive, meaning we're on the I Quadrant.

$\bf (\stackrel{a}{\sqrt{3}}~,~\stackrel{b}{1i})\qquad \begin{cases} r=&\sqrt{(\sqrt{3})^2+1^2}\\ &\sqrt{3+1}\\ &2\\ \theta =&tan^{-1}\left( \frac{1}{\sqrt{3}}\right)\\\\ &tan^{-1}\left( \frac{\sqrt{3}}{3} \right)\\ &\frac{\pi }{6} \end{cases}~\hfill \implies ~\hfill 2\left[ cos\left( \frac{\pi }{6}\right) +i~sin\left( \frac{\pi }{6}\right) \right]$

$\bf ~\dotfill\\\\ \qquad \textit{power of two complex numbers} \\\\\ [\quad r[cos(\theta)+isin(\theta)]\quad ]^n\implies r^n[cos(n\cdot \theta)+isin(n\cdot \theta)] \\\\[-0.35em] ~\dotfill$

$\bf \left[ 2\left[ cos\left( \frac{\pi }{6}\right) +i~sin\left( \frac{\pi }{6}\right) \right] \right]^3\implies 2^3\left[ cos\left( 3\cdot \frac{\pi }{6}\right) +i~sin\left( 3\cdot \frac{\pi }{6}\right) \right] \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill 8\left[cos\left( \frac{\pi }{2} \right) +i~sin\left( \frac{\pi }{2} \right) \right]~\hfill$

3 0

4 years ago

Sales at an auto part store decreased 20.5% this month compared to last month.If sales this month were $75,366 what were the sal

elena-14-01-66 [18.8K]

Answer:

I believe the sales would be: 90816.03

Step-by-step explanation:

20.5 % of 75.366 is 15450.03

75366 + 15450.03 = 90816.03

8 0

3 years ago

Express the following expression in partial fractions 9x -7/2x-3x +1

oksian1 [2.3K]

Answer:

2 1/2x + 1

Step-by-step explanation:

9x -7/2x-3x +1 = 9x - 3 1/2x - 3x + 1 = 2 1/2x + 1

6 0

3 years ago