Answer:
Step-by-step explanation:
This is a sequence of adding 4
So the next number is 47 51
Answer:yes
Step-by-step explanation:
For example, lets say:
L = 10
H = 6
W = 4
Imagine the shape is facing slightly towards your left
A left vertical cross section (perpendicular to the base) of the cuboid would result in a 10 by 6 rectangle
A right vertical cross section (perpendicular to the base) of the cuboid would result in a 6 by 4 rectangle
A horizontal cross section (parallel to the base) of the cuboid would result in a 10 by 4 rectangle
An angled cross section (through the middle) would also give a rectangle but the dimensions would be different. If the cut went from one '4' edge to the one in the opposite corner, the length of that would be found using Pythagoras
a² + b² = c²
6² + 10² = c²
36 + 100 = 136
√136 ≈ 11.66cm
11.66 by 4 rectangle
The shows that the resulting shape will always be a rectangle for these cross sections.
<em>The only case in which it would not, would be if one of the faces of the cuboid was a square - in which case one of the cross sections would also be a square.</em>
1 + -4
2 + -5
3 + -6
4 + -7
Answer:
m=2
Step-by-step explanation:
Add the numbers
-7+4m+10=15-2m
3+4m=15-2m
Rearrange terms
3+4m=15-2m
4m+3=15-2m
Rearrange terms
4m+3=15-2m
4m+3=-2m+15
Subtract 3 from both sides of the equation
4m+3=-2m+15
4m+3-3=-2m+15-3
Simplify
4m=-2m+12
Add 2m to both sides of the equation
4m=-2m+12
4m+2m=-2m+12+2m
Simplify
6m=12
Divide both sides of the equation by the same term
6m = 12
6m/6 = 12/6
Simplify
m = 2
