Answer:
C
Step-by-step explanation:
Lucia's claim is correct since any rotation that is a multiple of 45° carries a square onto itself
Drop a perpendicular from an obtuse vertex.
That makes a 30 - 60º right triangle, with
hypotenuse 6 and short leg 3. So the long leg,
which is the height of the rhombus, is 3√3 .
Since a rhombus is a parallelogram, its area
is base x height = 6 x 3√3 = 18√3 .
Answer:
<h2>x=y+2/3</h2>
Step-by-step explanation:
y=3x-2
+2
y+2=3x
divide by 3
y+2/3=x
For this we need to do (1530/3000)*100
1530/3000 is the same as 153/300 which is the same as 51/100
Therefore the total percentage is 0.51*100 = 51%
Answer:
A. 162
B. 128
Step-by-step explanation:
We have wooden cubes of 2 in of side.
A. If the box is 18 x 12 x 6 in., in the base (18 x 12), we can fit 54 cubes:

As the height is 6 in, we can fit 6/2=3 layers of 54 cubes in the box, se we can fit 162 cubes:

B. If we have a box with measures 16 x 9 x 9 in., and the base is 16x9 in, we can fit (16/2)*(9/2)=8*4=32 cubes per layer.
Note that in the 9 in side we can only put 4, as we need 10 in to fit 5 cubes (we can not cut them).
In the same way, as we have 9 in of height, we can fit 4 layers of 32 cubes, so this is a total of 128 cubes:
