I used mental math and it took a long time, but I got the answer of 2,499.
Answer:
a.b=[-1]
Step-by-step explanation:
This is a dot product of a and b
a.b =[6,-2,3].[2,5, -1] = [12-10-3] =[-1]
Answer:
24 ft cubed
Step-by-step explanation:
The volume of a rectangular prism is denoted by the formula: 
, where 
is the length, w is the width, and h is the height.
Looking at the diagram, we can see that the length is 2 ft (so = 2), the width is 4 ft (so w = 4), and the height is 3 ft (so h = 3). Now, we can just plug in these values to find V, the volume:
Thus, the answer is 24 ft cubed.
Hope this helps!
Answer:
The artist used 8.6 inches more of silver wire
Step-by-step explanation:
Perimeter of the square
P = 4*a
P = 4*a = 40 in
a = 10 in
Each side of the square has a length of 10 in
The diameter of the circle is equal to the length of the side of the square
Diameter = 10 in
Perimeter of the circle
P_c = 2*π*radius = π*diameter
P_c = (3.14)*10 in = 31.4 in
Inches of silver wire (square) = 40 in
Inches of copper wire (circle) = 31.4 in
40- 31.4 in = 8.6 in
