2x = 5 + 3
2x = 8
x = 8/2
x=4
First we need to find out the volume of one cylinder. We already know the volume of the block of gold is 360cm3
V = Pie * radius squared* height.
Pie is 3.142
radius is 6.18/2 = 3.09 cm
height is 6cm
V = 3.142 * 3.09 * 3.09 * 6
V = 180cm3
Now we divide the volume of this cylinder with the volume of block of gold.
360/180 = 2
So it will take 2 cylinders to mold one block of gold.
6,000 because its in the thousandth and so since its a six in the thousandths its 6,000 remember the comma
Due to the nature of spheres, they are all similar to each other.
Answer:
From the given graph:
the coordinates of triangle RST are;
R= (2, 1),
S= (2,-2),
T= (-1,-2)
Given: Scale factor = 
and center of dilation at (2,2)
The mapping rule for the dilation applied to the triangle as shown below:
; where k represents the scale factor i.e, 
or we can write it as ;
For R=(2, 1)
The image R' = 
⇒ R'= 
Similarly for S= (2, -2) and T= (-1,-2)
therefore, the image of S'= 
⇒ S'= 
The image of T' =
⇒T' = 
Now, labelling the image of triangle R'S'T' as shown in the figure given below
