Answer:
16.6 in
Step-by-step explanation:
The volume (V) of a pyramid is
V =
area of base × h
where h is the perpendicular height and area of base = 14² = 196
here V = 980, so
× 196h = 980 ( multiply both sides by 3 )
196h = 2940 ( divide both sides by 196 )
h = 15
Consider the right triangle formed by the height h from the vertex to the midpoint of the base and the slant height (s) ← the hypotenuse
Using Pythagoras' identity in the right triangle
s² = 15² + 7² = 225 + 49 = 274 ( take the square root of both sides )
s =
≈ 16.6
Answer:
The domain of a function is the complete set of possible values of the independent variable.
In plain English, this definition means:
The domain is the set of all possible x-values which will make the function "work", and will output real y-values.
When finding the domain, remember:
The denominator (bottom) of a fraction cannot be zero
The number under a square root sign must be positive in this section
Step-by-step explanation:
6a² + 7ax - 3x²
6a² + 9ax - 2ax - 3x²
3a(2a) + 3a(3x) - x(2a) - x(3x)
3a(2a + 3x) - x(2a + 3x)
(3a - x)(2a + 3x)
Answer:
Step-by-step explanation:
add 14.52 to both sides of the inequality to cancel that value out from the middle. Then you can divide both sides by 3x to get x by itself in the middle.