Answer:
The altitude is 6.53 cm
Step-by-step explanation:
A regular tetrahedron is a triangular pyramid having equilateral triangular faces, therefore we have;
Sides of the equilateral triangle = 8 cm
Given that the slant height, the edge of the tetrahedron, and half the base edge of the tetrahedron form a right triangle, we have;
The slant height, h = √(8² - (8/2)²) = √48 = 4×√3
The segment representing the altitude, H, of the tetrahedron forms a right triangle with the edge of the tetrahedron and 2/3×h
Therefore;
8² = H² + (2/3×4×√3)²
H² = 8² - (2/3×4×√3)²
H² = 64 - 64/3 = 128/3
The altitude H = √(128/3) = √6×8/3 = 6.53 cm.
Answer:
Sum of cubes
Step-by-step explanation:
A. $115.50
B. $157.17
C. $365.50
D. $407.17
693*1/6
693*0.16666666666
115.50
365.50 is the correct answer.
Concept:
we use the vector method to solve this problem, take all the vertices in vector foam.
In the rectangle their exist two pair of parallel and equal sides, take the one pair and solve for unknown vertex.
BA=CD
A-B = D-C
(-2i-j)-(-2i-4j) = (xi+yj)-(1i-4j)
(-2i-j+2i+4j) = (xi+yj-1i+4j)
3j = xi+yj-1i+4j
i+3j-4j = xi+yj
1i-1j= xi+yj
by comparing,
x= 1
y= -1
so D vertex is (1, -1)
The Points make a rectangle so it'll be B.