Solution:
Let me define pyramid first.A pyramid is a Polyhedron , whose base can be any polygon and it's faces are triangular which meet at a point called vertex.
Volume of Pyramid = 
Side of base which is an equilateral triangle= 4 cm
Area of whole pyramid = 12 square cm
Area of Equilateral triangle having side 4 cm=
cm²
So, Area of three triangle which are faces of pyramid = (12 - 4 √3)cm²
Area of triangle = 
12 - 4 √3= 
Height =
Height=(6-2√3) cm
Volume of pyramid = Area of Equilateral triangle which is it's Base × Height of Pyramid
=4√3 × (6-2√3) cm³
=(24 √3 -24)
= 24 (1.732-1)
=24 × 0.732
=17.568 cm³
7x+(x-4)(X+5)-5x
7x+(X*2+ 5x-4x-20)-5x
7x+(X*2+ x-20)-5x
X*2+3x-20
9514 1404 393
Answer:
90° CCW
Step-by-step explanation:
The slope of BA is -1/3. The slope of BA' is 3, so the slopes are opposite reciprocals of one another. These segments are perpendicular, meaning the angle between them is 90°.
Point A' has been rotated 90° CCW about point B.
Answer:
10.25
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
1. Set up a equation.
2. X is the first, so the ones after x are x+2, x+4, x+6, x+8, and x+10.
3. That means that x+x+2+x+4+x+6+x+8+x+10=204.
4. Simplify. You would get that 6x+30=204.
5. Solve for x. 6x=174, so x=29.
6. Get the fourth number in the sequence. 29+6=35.
Answer: The fourth number in this sequence is 35.
