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>
<h3>
Answer: D) common ratio</h3>
Explanation:
The four points on this curve are
(1, 3)
, (2, 6), (3, 12)
, (4, 24)
The equation of the curve that goes through all the points mentioned is
y = 3*2^(x-1) which is equivalent to y = 1.5*2^x
Both equations are exponential equations.
Sequences of the form
a(n) = a*(r)^(n-1)
are geometric sequences with common ratio r. In this case, r = 2.
Note how the jump from 3 to 6 is "times 2", so is from 6 to 12, and from 12 to 24. We multiply each term by 2 to get the next one.
The formula for the area of a trapezoid is A=1/2(base one+base two)h
All you have to do is find the base one, base two, and height using the given information and then plug it into the equation.
There are a number of different problems that you could do that will give you an outcome of 9/10
For example, 1/2 and 2/5 add up to 9/10.
3/10 and 6/10 also add up to 9/10.
Find the sum of 7/10 and 1/5
Find the sum of 7/20 and 11/20
Find the sum of 1/2 and 3/10 and 1/10
Find the sum of 1/5 and 2/5 and 3/10
Hope this helps :)