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:
1. 15.75
2. $236.25
Step-by-step explanation:
3.5 *4.5= 15.75 square yards
15.75*15=236.25
Answer:
False
Step-by-step explanation:
Two arcs are congruent if they have the same length and belong to the same circle or two congruent circles. if two central angles of a circle are congruent then they form congruent arcs.
Answer:
The autofilled values would be Seat1Row4, Seat1Row5, Seat1Row6
Step-by-step explanation:
Given
B1 = Seat1Row1
C1 = Seat1Row2
D1 = Seat1Row3
Required
Values of E1, F1, G1 if autofilled
Autofill in Microsoft Office Excel (Ms Excel).is used to automatically fill cells base on suggestion from previous cells.
The autofill feature of Ms Excel works data types such as numbers and alphanumeric among others.
But for autofill to work on alphanumeric in Ms Excel, only the numeric part will be altered.
In this case, the series of text in B1, C1 and D1 are Seat1Row1, Seat1Row2, Seat1Row3
"Seat1Row" will be regarded as string while 1,2,3 will be incremented and the resulting alphanumeric values will be saved in their respective cells.
Hence,
Cell E1 will be filled with Seat1Row4
F1 will be filled with Seat1Row5
G1 will be filled with Seat1Row6
See attachment