Answer:
37.8
Step-by-step explanation:
Set up a proportion using the values given in the diagram of similar triangles.
31.5/15 = x/18
Cross-multiply.
31.5(18) = 15x
Multiply.
567 = 15x
Divide both sides by 15.
37.8 = x
Answer:
36pi
Step-by-step explanation:
the volume of a sphere is equal to 4/3 x pi x r^3
the radius is half of the diameter
3^3=27
27x4/3=36
36pi
Answer:
- The two solutions are:

- The next and every step are below.
Explanation:
1.
: Given (addition property / add - 3 to both sides)
2.
: Given (commom factor - 2)
3. 
To obtain the perfect square it was added the square of half of the coefficient of x: (1/2)² = 1/4, inside the parenthesis.
Since, the terms inside the parentthesis are multiplied by - 2, you have to add - 2 (1/4) = - 1/2 to the left side of the equation.
4. Now, you have that the trinomial x² - x + 1/4 is a square perfect trinomial which is factored as (x - 1/2)² and get the expression:

5. Divide both sides by - 2 to get the next expression:

6. The last step is to extract squere root from both sides of the equality:

It is already in radical form......... but, if you want us to make it into exponential form, it is 8x^(2/3)
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