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2 years ago

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DBE is obtained by enlarging ABC. If the area of ABC is 3 square units, what is the area of DBE?

1 answer:

Dennis_Churaev [7]2 years ago

5 0

<span>In two similar triangles, like the one we see above, the ratio of their areas is the square of the ratio of their sides.

Based on the graph, we see that BD is 3 times larger than BA. This means that the area of DBE will be 3</span>² times larger, or 9 times larger, than the area of ABC.

Area of ABC = 3 square units
Area of DBE = 3 * 9 = 27 square units
Answer is A.

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They are both correct in their computation

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2 years ago

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2 years ago

University graduates have a mean job search time of 38.1 weeks, with a standard deviation of 10.1 weeks. The distribution of job

Lera25 [3.4K]

Answer:

7.1 weeks to 68.4 weeks

Step-by-step explanation:

Chebyshev's Theorem states that:

75% of the measures are within 2 standard deviations of the mean.

89% of the measures are within 3 standard deviations of the mean.

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Between 3 standard deviations of the mean.

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1 year ago

PLEASE HELP ME!

algol13

Step-by-step explanation:

$1.\sum_{i=1}^{5}3i$

The simplest method is "brute force". Calculate each term and add them up.

∑ = 3(1) + 3(2) + 3(3) + 3(4) + 3(5)

∑ = 3 + 6 + 9 + 12 + 15

∑ = 45

$2.\sum_{k=1}^{4}(2k)^{2}$

∑ = (2×1)² + (2×2)² + (2×3)² + (2×4)²

∑ = 4 + 16 + 36 + 64

∑ = 120

$3.\sum_{k=3}^{6}(2k-10)$

∑ = (2×3−10) + (2×4−10) + (2×5−10) + (2×6−10)

∑ = -4 + -2 + 0 + 2

∑ = -4

4. 1 + 1/4 + 1/16 + 1/64 + 1/256

This is a geometric sequence where the first term is 1 and the common ratio is 1/4. The nth term is:

a = 1 (1/4)ⁿ⁻¹

So the series is:

$\sum_{j=1}^{7}(\frac{1}{4})^{j-1}$

5. -5 + -1 + 3 + 7 + 11

This is an arithmetic sequence where the first term is -5 and the common difference is 4. The nth term is:

a = -5 + 4(n−1)

a = -5 + 4n − 4

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So the series is:

$\sum_{j=1}^{5}(4j-9)$

5 0

2 years ago

y = x2 + 11x + 24 is equivalent to the graph of which equation? y = (x + 8)(x + 3) y = (x + 4)(x + 6) y = (x + 9)(x + 2) y = (x

Montano1993 [528]

Answer:

First option: $y=(x + 8)(x + 3)$

Step-by-step explanation:

Given the quadratic equation $y = x^2 + 11x + 24$ , you need to factor it.

To do this, you need to find two number that when you add them you get 11 and when you multply them you get 24. These numbers are: 8 and 3.

Therefore, knowing this, you can factor the quadratic equation:

$y = x^2 + 11x + 24\\\\y=(x + 8)(x + 3)$

Then, $y = x^2 + 11x + 24$ is equivalent to the graph of the equation $y=(x + 8)(x + 3)$ , which matches with the first option.

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2 years ago