Answer:
<em>B</em> 
Step-by-step explanation:
<u>Dilations</u>
Given a point A(x,y) and a scale factor k the dilated image of A, called A' is calculated as A'=(kx,ky), assuming the same scale factor is applied in both axes.
The pentagon ABCDE was dilated to create pentagon A'B'C'D'E'. To find the dilaton rule used, we must find two clear points where the coordinates of both axes can be easily read from the graph.
Point C(-2,0) maps to C'(-5,0). This gives us the scale factor for the x-axis of -5/(-2)= 5/2.
The y-coordinate of E is 2 and the y-coordinate of E' is 5. This gives us the same scale factor for the y-axis of 5/2.
Thus, the rule to dilate the pentagon is:
B 
For the first draw, the probability of an ace is ( 4 / 52 ).
Now there are only 51 cards left in the deck.
For the second draw, the probability of a king is ( 4 / 51 ).
The probability of both events is
(4/52) (4/41) = (16/2,652)
Divide top and bottom by 4:
(16/2,652) = <em>4/663</em> . That's <em>choice-C </em>.
Answer 2.85
On rounding to nearest hundredths, we get than 2.85 as at thousandths place, there is 9 which is greater than 5, so 1 is added to the hundredth value.
Answer: 36
Step-by-step explanation:3 sides of 12 12x3= 36
Answer: 
Step-by-step explanation:
Given
The length of each cube is 
If there are 6 cubes placed over each other, then the height achieved by the cubes is