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>
We have that
<span>points A (-5, 6) and B (7, -1)
Part A)
find the distance
d=</span>√[(y2-y1)²+(x2-x1)²]-------> d=√[(-1-6)²+(7+5)²]----> d=√(49+144)
d=√193 units
Part B)
find the midpoint
ABx=(x1+x2)/2-----> (-5+7)/2-----> ABx=1
ABy=(y1+y2)/2-----> (-1+6)/2-----> ABy=2.5
the midpoint is (1,2.5)
Part C)
find the slope
m=(y2-y1)/(x2-x1)-----> m=(-1-6)/(7+5)--------> m=-7/12
the slope m=-7/12
Answer:
I'm just gonna tell you the answer and you'll have to show the work on your own. A penny doubled everyday for a month equals a little over $5 million dollars. So you would want to go with the second option.
Step-by-step explanation:
Answer:
the cat weighs 21 pounds.
the dog weighs 43 pounds
Step-by-step explanation:
dog = 3x-20 = x + 22
cat = x
3x-20 = x+22
3x = x+42 (add 20 to both sides)
2x = 42 (subtract x from both sides)
x = 21
Answer:
Step-by-step explanation:
