Answer:
Use PEMDAS so division would be the first step
Step-by-step explanation:
1)Parentheses
2)Exponents
3)Multiplication
4)Division
5)Addition
6)Subtraction
First, calculate for the volume of the cube before each edges are cut.
V = e³
where e is the length of each sides. Substituting the known value,
V = (4/5 cm)³ = 0.512 cm³
Then, calculate for the volume of each of the small cubes cut out from the corners.
V = (1/5 cm)³ = 0.008 cm³
Since there are 8 of these small cube, we multiply the volume by 8.
8V = 8(0.008 cm³) = 0.064 cm³
Then, subtracting the volumes will give us an answer of <em>0.448 cm³</em>
M∠Е = 180 - (54+32) = 94°
18/sin94° = EF/sin54° ⇒
EF = (18*sin54°)/sin94° ≈ 14.6 m
B. 14.6 m
Answer:
The least amount of fabric are 22 square feet
Step-by-step explanation:
we know that
The surface area of a rectangular prism is given by the formula

where
B is the area of the base
P is the perimeter of the base
H is the height of the prism
Let
L ---> the length pf the prism
W ---> the width of the prism
H ---> is the height of the prism
Let

Find the area of the base

Find the perimeter of the base

Find the surface area

therefore
The least amount of fabric are 22 square feet
Answer:
b)0, yes
Step-by-step explanation:
Given:
Vectors (4,8) . (6,-3)
Finding inner product of vectors:
= 4x6 + 8x-3
=24-24
=0
Now to check the angle between them using formula a.b=|a|.|b|cosθ
|a|= 
=8.9
|b|=
=6.7
Putting values of a.b=0 and |a|=8.9, |b|=6.7 in a.b=|a|.|b|cosθ we get,
0= 8.9(6.7)cosθ
cosθ =0
θ=90 degrees
Hence the two vectors are perpendicular !