Answer:
see below
Step-by-step explanation:
The mapping tells you how to find the vertices of the image:
(x, y) ⇒ (x +2, y -3)
S(-3,-2) ⇒ S'(-3 +2, -2 -3) = S'(-1, -5) . . . . . matches choice D
T(-4, 3) ⇒ T'(-4 +2, 3 -3) = T'(-2, 0)
V(-2, 3) ⇒ V'(-2 +2, 3 -3) = V'(0, 0)
The difference in volumes between cube and cone is 5190.52 cubic units.
<h3>How to find the volume of a cube?</h3>
Suppose that:
The side length of the considered cube is L units.
Then, we get:
The volume of that cube = L³ cubic units.
The outer figure is a cube with an edge length of 20 centimeters.
The volume of that cube = L³ cubic units.
= 8000 cubic units.
The volume of that cone
The height is 20 cm and the radius will be
volume of that cone
= 
= 59190.52 cubic units
Therefore, the difference in volumes bbetween cube and cone is 5190.52 cubic units.
Learn more about the volume of a cube here:
brainly.com/question/26136041
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Answer:
998/1200 and 997/1200
Step-by-step explanation:
It’s hard to compare 5/6 and 83/100 in their current states. Let’s find a common denominator. Take 600. We know that this will work because both 6 and 100 go into it. Multiplying 5 by 100 and 83 by 6 to find the common denominator, we can compare them at 498/600 and 500/600. However, there is only one number (499/600) between them. Thus, we will multiply each number by 2/2, which is 1. Our numbers are then 996/1200 and 1000/1200. Two numbers between them are then 997/1200 and 998/1200
Answer:
144
Explanation:
In the closet, we have:
6 pairs of pants
8 shirts
3 pairs of shoes
To know the number of possible combinations that could be made from the available objects, all we have to do is multiply all three numbers together.
Therefore:
possible outcomes = number of pants * number of shirts * number of shoes
possible outcomes = 6 * 8 * 3
possible outcomes = 144
This means that the tree diagram would have 144 leaves to represent all possible combinations.
Hope this helps :)
Answer:
49 is your only answer........
Step-by-step explanation:
