Biologists stocked a lake with 240 fish and estimated the carrying capacity (the maximal population for the fish of that species

Answer:

AC and OA

Step-by-step explanation:

-A secant refers to a line that intersects two points on a circle.

-We have a square OABC with each side measuring 6cm and a circle with radius r=5cm, centered at O. The circle's radius is shorter than the side of the square:

-The circle intersectsOA andOC, while it does not intersect AB and BC.

Therefore, AC and OA serve as secants for the circle.

Answer:

B. $0.30

Detailed explanation:

1 candy bar equals $0.20

3 candy bars equal $0.50

To find the solution, let's calculate for both options:

If you buy each candy bar separately, the cost is $0.20 each. For 9, it would be:

9 x 0.20 = $1.80

If you purchase 3 at a time, they are $0.50 each set. Dividing 9 by 3, then multiplying by 0.50 gives:

9/3 = 3

3 x 0.50 = $1.50

Now calculate the difference between the individual total and the pack total:

$1.80 - $1.50 = $0.30

B. $0.30 is your final answer.

~

Answer:

The correct answer appears to be A, please inform me if that is incorrect.

Step-by-step explanation:

Response:

Congruent:  (x, y)→(x+3, y-4); (x, y)→(-x, -y)

Not Congruent:  (x, y)→(3x, 3y); (x, y)→(0.4x, 0.4y); (x, y)→(x/3, y/3)

Explanation in steps:

Transformations that yield congruent figures include translations, reflections, and rotations. In contrast, dilations result in figures that are not congruent.

The first transformation, (x, y)→(x+3, y-4), represents a translation 3 units right and 4 units down, leading to congruent figures since it merely shifts the figure.

The second transformation, (x, y)→(3x, 3y), indicates a dilation by a factor of 3, which enlarges the figure and therefore makes it non-congruent.

The third transformation, (x, y)→(0.4x, 0.4y), involves a dilation by a factor of 0.4, which shrinks the figure, leading to non-congruence.

The fourth transformation, (x, y)→(x/3, y/3), results in a dilation by a factor of 1/3, also shrinking the figure and rendering it non-congruent.

The fifth transformation, (x, y)→(-x, -y), reflects the figure, maintaining its size while modifying its orientation, thus ensuring congruence.