Answer:
Step-by-step explanation:
This looked very difficult UNTIL I looked at the pyramid as ONE HALF of a larger pyramid! Image a mirror image of the pyramid creating a pyramid that is 12 cm of the front and back side and 6 cm on the left and right edge.
IT IS NO LONGER A SQUARE PYAMID so you need the volume for a rectanglar pyramid
The volume of a square pyramide is .....
V = side² × (height / 3)
The volume of a rectangular pyramide is .....
V = base area × (height / 3)
= length × width × (height / 3)
= 12 × 6 × 10 / 3 cm³ BUT REMEMBER we want only HALF of the
= [12 × 3 × 10] divide by 2 cm³ Rectangular pyamid
Volume of the image shown in the diagram is ....
= 360 / 2 cm³
= 180 cm³ <----------------- Final Answer
Answer:
B' (16, 14)
Step-by-step explanation:
<em>Whenever we have a dilation with a scale factor b, we get the new point as:</em>
<em>Let original point be (x,y), then the dilation would make it (bx, by).</em>
<em />
There is a diagonal that goes through AC and another through BD. The midpoint of both the diagonal is same. Midpoint formula is:
<u>Midpoint of AC:</u>
Now let vertex B have coordinates (x,y). <u>Midpoint of BD:</u>
<em>Equate this to the midpoint of AC:</em>
<em>(x+2)/2=5</em>
<em>x+2 = 10</em>
<em>x = 8</em>
<em />
<em>and</em>
(y+1)/2=4
y+1=8
y = 7
Thus, B(8,7)
<em>recalling dilation of scale factor 2 rule we said at the beginning, B' would be twice of each coordinate. Hence B' = (16,14)</em>
Answer:
The final answer is D) I and II only
Step-by-step explanation:
Think bout what the formula is
y=mx+b
in this case
the slope of the graph is
5/
9
, which means that for an increase of 1.
C=
5
/9
(F)
C=
5
/9 (1)=
5
/9
Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of
9
/5 degrees Fahrenheit.
Statement II is also true since only answer that has both statement I and statement II as true is D, is not true since 25/81 not 1 degree.
