Answer:
A cylinder with a volume of 27
cubic inches and a height of 3 inches
Step-by-step explanation:
- Volume of a cylinder = r²h
(where r is the radius and h is the height)
Volume = 27
Height = 3
⇒ 27 = 3r²
⇒ 9 = r²
⇒ r = √9 = 3
So height = radius
Answer:
Step-by-step explanation:
So we have the expression:
And we wish to factor it.
First, let's make a substitution. Let's let u be equal to x². Therefore, our expression is now:
This is a technique called quadratic u-substitution. Now, we can factor in this form.
We can use the numbers -3 and -2. So:
For the first two terms, factor out a u.
For the last two terms, factor out a -3. So:
Grouping:
Now, substitute back the x² for u:
And this is the simplest form.
And we're done!
They are equivalent because 4:5 can both be multiplied by 2 making 8:10.
Answer:
area = 779.4 cm²
Step-by-step explanation:
divide it into 6 equal equilateral triangles. Each corner of a triangle will be 60°.
tan 60° = 15/x
1.7321 = 15/x
x = 8.66 (this is one-half of the base of the triangle)
base = 17.32 cm
area of one triangle = 1/2(17.32)(15) = 129.9 cm²
129.9(6) = 779.4 cm² (because 6 triangles make up the hexagon)
I believe it is commutative property cause the numbers didn't change instead they just switched places in the equation.
