Answer:
The volume increases by a factor or 64. When the cube is dilated, each side length is increased by 4, so the volume is increased by 64.
Step-by-step explanation:
Let L represents the Length of the cube before it's dilated.
Volume, V1 = Length * Length * Length
Volume, V1 = L * L * L
Volume, V1 = L³
When the cube is dilated by a factor of 4.
The new Length becomes 4L.
The new volume is calculated as thus.
New Volume, V2 = 4L * 4L * 4L
New Volume, V2 = 64L³
Dividing the new volume by the old volume gives the increment factor.
Factor = New Volume ÷ Old Volume
Factor = V2/V1
Factor = 64L³/L³
Factor = 64.
Hence, when the sides of the cube is dilated by 4, the volume increases by a factor of 64.
Filling the gap of the given sentence;
"The volume increases by a factor or 64. When the cube is dilated, each side length is increased by 4, so the volume is increased by 64"
Answer:
15
Step-by-step explanation:
A complementary angle is a right angle split into two parts. Since 75 is one of the two parts, we subtract it from 90, giving us an answer of 15.
Hello :
29° +90°+X° = 180°
x° = 180°-90°-29°
x° = 61°...(first answer)
Yes if its 10%,20%,30%,40%,50%,60%,70%,80%,90%,100%,but if its like 21%,29%,68%,74%,probably if your doing math