Step-by-step explanation:
This is an exponential increase. As represented in the picture, approximately 77 lilly pads will be produced after 50 days when there is initial of 22.
Will a 11.5-inch x 18-inch rectangular tray fit in the box shown? Explain.
1 answer:
Answer:
Option D
Step-by-step explanation:
From the picture attached,
In the parallelogram ABCD,
Length of diagonals AC and BD are equal.
By the property,
"If the lengths of the diagonals of a parallelogram are equal, parallelogram will be a rectangle".
Therefore ABCD is a rectangle.
That means all interior angles of the given rectangle will be 90°.
Now we apply Pythagoras theorem in right triangle ΔABC,
AC² = AB² + BC²
(22)² = (12)² + (BC)²
484 - 144 = (BC)²
BC = √340
BC = 18.44 inches
Dimensions of the given box are 12 inches by 18.44 inches.
Dimensions of the rectangular tray is 11.5 inches by 18 inches.
Since, dimensions of the box are larger than the dimensions of the tray, tray can be adjusted in the box.
Therefore, Option D will be the answer.
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Answers:
x = 9
y = -3
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How to get those answers:
Simply multiply the coordinates of the point (3,-1) by the scale factor 3.
The new x coordinate will be 3*3 = 9 and the new y coordinate will be -1*3 = -3.
The point (3, -1) moves to (9, -3) after applying the dilation.
The rule I used is where k is the scale factor, which is k = 3 in this case.
Note how k > 1 means the point moves further away from the origin. It also means we have an enlargement.