<img src="https://tex.z-dn.net/?f=%20%20%7B3%7D%5E%7B3%7D%20-%20%7B%20-%2030%7D%5E%7B3%7D%20" id="TexFormula1" title=" {3}^{3}

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KATRIN_1 [288]

3 years ago

- { - 30}^{3} " alt=" {3}^{3} - { - 30}^{3} " align="absmiddle" class="latex-formula">

Mathematics

1 answer:

Helen [10]3 years ago

7 0

The correct answer is 27027

Hope this helps : )

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What two nonnegative real numbers with a sum of 60 have the largest possible product?

kogti [31]

The biggest possible real number = 60 ÷ 2 = 30

30 + 30 = 60

Largest Product = 30 x 30 = 900

Answer: The two numbers are 30 and 30.

6 0

3 years ago

The bases in a softball diamond are located at the corners of a 3600 ft^2 square. How far is a throw from second base to home pl

sasho [114]

Answer:

84.85 ft

Step-by-step explanation:

Given that the sides are 3600 feets

Hence, side 1 = 3600 ; side = 3600 (since it is a square)

The distance, d from second base to Home plate is the length of the diagonal, which can be obtained using Pythagoras :

d² = s1² + s2²

s1², s2² = 3600

Hence,

d = sqrt(3600 +. 3600)

d = sqrt(7200)

d = 84.85 ft

6 0

3 years ago

The diameter of each wheel of a bicycle is 27 inches. If you are traveling at a speed of 20 miles per hour on this bicycle, thro

klasskru [66]

Notice, you've got a diameter in inches
and a linear velocity in miles
thus, you'd need to convert first

$\bf v=rw\implies \cfrac{v}{r}=w\qquad 
\begin{cases}
v=\textit{linear speed}\\
r=radius\\
w=\textit{angular speed}\\
 --------------\\
v=20\frac{mi}{h}\\
r=\frac{diameter}{2}=\frac{27}{2}
\end{cases}
\\\\
\textit{now, converting 20miles to inches}
\\\\
\cfrac{20mi}{h}\cdot \cfrac{5280ft}{mi}\cdot \cfrac{12in}{ft}\implies \cfrac{20\cdot 5280\cdot 12\ in}{h}\impliedby v
\\\\\\
\cfrac{1267200\frac{in}{h}}{\frac{27}{2}in}=w$

now, whatever that is, you'll need to divide it by a revolution, recall, a revolution is $2\pi$
thus $\bf \cfrac{\qquad \boxed{\cfrac{1267200\frac{in}{h}}{\frac{27}{2}in}}\qquad }{2\pi }=revolutions$