A cross section is the two dimensional shape that is created when a slice is made through a solid figure by an intersection of a plane and the solid body.
A square pyramid is a pyramid with a square base.
Case 1: When the plane intersects the square pyramid at an angle perpendicular to the base but not through the vertex. In this case a trapezoid is formed.
Case 2: When the plane intersects the square pyramid at an angle perpendicular to the base and through the vertex. In this case a triangle is formed.
Case 3: When the plane intersects the square pyramid at an angle parallel to the base. In this case a square is formed.
<span>Therefore, a
cross section made by the intersection of a plane and a square
pyramid at an angle either parallel or perpendicular to the base can be of shapes:
-square
-triangle
-trapezoid</span>
Answer:
#1). 6 , 18 , 54
#2). 5/3 , 14 / 9 , 41/27
#3). 1.5 , 2.5 , 2.5
Step-by-step explanation:
#1).
g(x) = 3x
g(2) = 3 . 2 = 6
g²(2) = 3 . 3 . 2 = 18
g³(2) = 3 . 3 . 3 . 2 = 54
#2).
g(x) = 1/3 x + 1
g(2) = 2/3 + 1 = 5/3
g²(2) = g(5/3) = 5/9 + 1 = 14/9
g³(2) = g(14/9) = 14/27 + 1 = 41/27
#3).
g(x) = -1 ║x - 2 ║ + 3
g(0.5) = -1 (1.5) + 3 = 1.5
g²(0.5) = g(1.5) = -1(0.5) + 3 = 2.5
g³(0.5) = g(2.5) = -1(0.5) + 3 = 2.5
3^n=27
Solve Exponent.
3^n=27
log(3n)=log(27)(Take log of both sides)
n*(log(3))=log(27)
n=log(27) / log(3)
n=3
Answer:
7 units
Step-by-step explanation:
Distance between 2 points
=
Thus, distance PQ
Or you could simply take 8-1= 7 since both points have the same x-coordinate. Thus, PQ is a vertical line and the distance between them is due to the difference in their y-coordinate.
Answer:
x = 4
Step-by-step explanation:
We can use cross products to solve
84/12 = 28/x
84 * x = 12 *28
Divide each side by 84
84x/84 = 12*28/84
x =4
