Answer:
No.
Step-by-step explanation:
For polygon PQRST to be considered a scaled copy of polygon ABCDE, it means every segments of polygon ABCDE were increased proportionally by a scale factor.
The segments in polygon PQRST were not gotten using the same scale factor, hence, it is not a scaled copy of the original polygon, ABCDE.
Segment CD = 2 units, it corresponds to segment RS = 4 units. Scale factor = RS/CD = 4/2 = 2
Segment BC = 1 unit, it corresponds to segment QR = 1 unit. Scale factor = QR/BC = 1/1 = 1 units.
Varying scale factor shows polygon PQRST is not a scaled copy of polygon ABCDE.
X(a+b)-y(a+b)
*factor out (a+b)*
=(a+b)(x-y)
Answer:
A
Step-by-step explanation:
AB = sqrt(10^2 - 4^2) = sqrt(100 - 16) = sqrt(84) = sqrt(4 x 21) = 2sqrt(21) = 2 radical 21.
The volume of the box without the lid is 500 cubic inches.
<h3>What is volume?</h3>
The capacity of an object is measured by its volume. For instance, a cup's capacity is stated to be 100 ml if it can hold 100 ml of water in its brim.
Another way to think of volume is as the amount of space a three-dimensional object takes up.
Calculation for the volume of the box-
The volume of a box without a lid is given by the formula v = 4x(10-x)².
Where,
'x' is a length in inches, and
'v' is the volume in cubic inches.
The volume when x = 5 inches.
Substitute the value of 'x' in the formula of volume;
v = 4×5(10-5)²
= 20×5²
v = 500
Therefore, the volume of a box without a lid is 500 cubic inches.
To know more about the volume of a cardboard shoe box, here
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