Answer:
The distance A’C’ is 4.47 units
Step-by-step explanation:
Before we go on, we need to get the appropriate transformation
Mathematically, we have a 90 degrees clockwise rotation yielding the following;
(x,y) to (-y,x)
A is (-4,1)
C is (-2,5)
By transforming, we have
A’( -1,-4)
C’ (-5,-2)
To get the magnitude of the line segment, we are going to use the distance formula between points
We have this as;
D = √(x2-x1)^2 + (y2-y1)^2
D = √(-5-(-1))^2 + (-2-(-4))^2
D = √(-4)^2 + (2)^2
D = √(16 + 4)
D = √20
D = 4.47 units
-5 because a negative plus a negative is a positive this is why it is the right answer
25t means "25 times t" where t is some unknown number. It is a placeholder for a number.
To find what the number is, we undo what is happening to t. So we divide both sides by 25 to undo the operation "multiply by 25"
----------
25*t = 1125
25*t/25 = 1125/25 divide both sides by 25
t = 45
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<h3>Answer: 45</h3>
As a check, we can plug t = 45 into the equation and we should get the same value on both sides
25*t = 1125
25*45 = 1125 replace every t with 45
1125 = 1125 the answer is confirmed
Answer:
Manuel would be correct, the volumes would be equal.
Step-by-step explanation:
The formulae for finding the volume of pyramids and cones both include dividing three (multiplying by 
).
Square pyramid formula: ×B×h where B is the area of the base. By plugging in numbers we have that B=314.159 and h=5. 314.159××5=523.5983.
Cone formula: The basic formula is the same: ×B×h, but the area of the base is found using the circle formula of π×r². For the cone we have B=314.159 and h=5. 314.159××5=523.5983.
Since both of these formulas came up with the same answer, we can conclude that Cone W has the same volume as Pyramid X, which is Manuel's answer.
