Answer:
it's 502.6548246
Step-by-step explanation:
hhhhhhhg
Answer:
b-11
Step-by-step explanation:
11 fewer meaning b-11
Answer:
b. (10,10,0)
Step-by-step explanation:
r+v can be evaluated if the vectors/matrices have the same dimensions.
These do. They are both 1 by 3 vectors.
Just add first to first in each.
Just add second to second in each.
Just add third to third in each.
Example:
(5,-5,6)+(1,2,3)
=(5+1,-5+2,6+3)
=(6,-3,9)
Done!
In general, (a,b,c)+(r,s,t)=(a+r,b+s,c+t).
r+v
=(7,3,9)+(3,7,-9)
=(7+3,3+7,9+-9)
=(10,10,0)
Done!
Answer:
27/2
Step-by-step explanation:
Given
Vertices (0, 0), (3, 0), and (0, 3)
Since the base of the equilateral in the plane perpendicular to the x-axis goes from the x-axis to the line y = 3 - x.
So, the length of each side of the triangle is (3-x)
Calculating the area;
Area = ½bh
Where b = base = 3 - x
height is calculated as;
h² = (3-x)² + (½(3-x))² --- from Pythagoras
h² = 9 - 6x + x² + (3/2 - ½x)²
Let h² = 0
0 = 9 - 6x + x² + (9/4 - 6/4x + ¼x²)
0 = 9 + 9/4 - 6x - 6/4 + x² + ¼x²
0 = 45/4 - 30x/4 + 5x²/4
0. = 5x²/4 - 30x/4 + 45/4
0 = 5x² - 15x/4 - 15x/4 + 45/4
0 = 5x(x/4-¾) - 15(x/4 - ¾)
0 = (5x - 15)(x/4 - ¾)
5x = 15 or x/4 = 3/4
x = 3 or x = 3
So, h = 3
Area = ½bh
Area = ½ * (3-x) * 3
Area = ½(9-3x)
Volume= Integral of ½(9-3x) {3,0}
V = 9/2 - 3x/2 {3,0}
V = 9x/2 - 3x²/4 {3,0}
V = 9(3)/2 - 3(3)²/4
V = 27/2 - 27/4
V = 27/2
