What is the approximate volume of the cone?

Mathematics

2 answers:

Nikitich [7]3 years ago

6 0

Answer:

so it's 509 i think

Step-by-step explanation:

Setler79 [48]3 years ago

4 0

508.94

Use this formula: V = π r^2 h/3

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6 0

3 years ago

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Express the product of (1/5x + 1) and (1/6x + 5/4) as a trinomial in simplest form

Greeley [361]

$(\frac{1}{5}x+1)(\frac{1}{6}x+\frac{5}{4})$

Use distributive property to remove the parentheses:

$(a+b)(c+d)=ac+ad+bc+bd$ $\begin{gathered} =\frac{1}{5}x*\frac{1}{6}x+\frac{1}{5}x*\frac{5}{4}+1*\frac{1}{6}x+1*\frac{5}{4} \\ \\ Multiplication\text{ }of\text{ }fractions: \\ \frac{a}{b}*\frac{c}{d}=\frac{a*c}{b*d} \\ \\ =\frac{1}{30}x^2+\frac{5}{20}x+\frac{1}{6}x+\frac{5}{4} \\ \\ =\frac{1}{30}x^2+\frac{1}{4}x+\frac{1}{6}x+\frac{5}{4} \\ \\ Addition\text{ }of\text{ }fractions: \\ \frac{a}{b}+\frac{c}{d}=\frac{ad+bc}{bd} \\ \\ =\frac{1}{30}x^2+(\frac{6x+4x}{24})+\frac{5}{4} \\ \\ =\frac{1}{30}x^2+\frac{10}{24}x+\frac{5}{4} \\ \\ Simplify: \\ =\frac{1}{30}x^2+\frac{5}{12}x+\frac{5}{4} \end{gathered}$ Then, the product in the simplest form is: $\frac{1}{30}x^2+\frac{5}{12}x+\frac{5}{4}$

8 0

1 year ago

The graph of f(x) = |x| is transformed to g(x) = |x + 1| – 7. On which interval is the function decreasing?

timofeeve [1]

Answer:

g is decreasing for all x less than or equal to -1

Step-by-step explanation:

The graph of the function y = |x| looks like a "vee."

g(x) = |x + 1| - 7 moves that graph 1 unit to the left (I know, it looks backwards!) and down 7 units. See attached image.

Function g(x) is decreasing for all $x \le -1$ .