Answer:
(x,y) => (x+3, y+4)
Step-by-step explanation:
Given a triangle DEF, D(4,2), E(3,3), F(2,1).
Centroid of the area (and the vertices) equals the mean of the coordinates, namely ( (4+3+2)/3, (2+3+1)/3 ) = (3,2)
To translate (3,2) to (6,6), we need the rule
(x,y) => x+(6-3), y+(6-2), or
(x,y) => (x+3, y+4)
The volume of the composite figure is the third option 385.17 cubic centimeters.
Step-by-step explanation:
Step 1:
The composite figure consists of a cone and a half-sphere on top.
We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.
Step 2:
The volume of a cone is determined by multiplying 
with π, the square of the radius (r²) and height (h). Here we substitute π as 3.1415.
The radius is 4 cm and the height is 15 cm.
The volume of the cone :
cubic cm.
Step 3:
The area of a half-sphere is half of a full sphere.
The volume of a sphere is given by multiplying 
with π and the cube of the radius (r³).
Here the radius is 4 cm. We take π as 3.1415.
The volume of a full sphere 
cubic cm.
The volume of the half-sphere 
cubic cm.
Step 4:
The total volume = The volume of the cone + The volume of the half sphere,
The total volume 
cub cm. This is closest to the third option 385.17 cubic centimeters.
Answer:
Test statistic:
z = (0.67 - 0.63) / 0.033 = 1.21
p - Value = P(z > 1.21) = 0.106
My conclusion: Fail to reject null hypothesis
No, there is no evidence of a difference
the scale factor is 2.
because
if you look at the length <em>AL</em><em> </em>in the smaller shape, it is 2 squares.
now if you look at the length <em>AL</em><em> </em>in the enlarged shape, it is 4 squares.
to find the scale factor, do 4 ÷ 2 which is 2.
therefore the scale factor is 2
Answer:
The state itself is 50% of the total height.
Explanation:
Well, if the height including the base is 300 ft, that'd mean the total height of the statue itself is (300-150) ft = 150 ft.
Thus, it is (150/300)*100% = 50% of the total height.
