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alexandr1967 [171]

2 years ago

5

Every week, Hector works 20 hours and earns $210.00. He earns a constant amount of money per hour.

1 answer:

baherus [9]2 years ago

5 0

The answer is 40.

H - hours W - weeks
20 x 2 = 40

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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 $\bf \cfrac{\qquad \boxed{\cfrac{1267200\frac{in}{h}}{\frac{27}{2}in}}\qquad }{2\pi }=revolutions$

7 0

3 years ago

Read 2 more answers

Joe's pizza shack sell $5 pizza. If Joe raises the price by 20% , what is the amount of the mark-up?

skelet666 [1.2K]

Answer:6 dollars

Step-by-step explanation:5 +20% gives you 6 which would be the ending price

4 0

2 years ago

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Let f={(-1, 4),(1, 9),(4, 0)} and g={(-1, -8),(2, -7),(4, 8),(5, -9)}. Find g/f and state its domain.

tekilochka [14]

Answer:

g/f = {(-1, 2)}

domain of g/f = {-1}

Step-by-step explanation:

Given,

f = {(-1, 4),(1, 9),(4, 0)},

g = {(-1, -8),(2, -7),(4, 8),(5, -9)}

So, Domain of f = {-1, 1, 4},

Domain of g = {-1, 2, 4, 5}

Since,

$\frac{g}{f}(x) = \frac{g(x)}{f(x)}$

Thus, domain of g/f = Domain of f ∩ Domain of g = {-1, 4}

If x = -1,

$\frac{g}{f}(-1) = \frac{g(-1)}{f(-1)}=\frac{-8}{-4}=2$

If x = 4,

$\frac{g}{f}(4) = \frac{g(4)}{f(4)}=\frac{8}{0}=\infty (\text{ not possible})$

Hence, the domain of g/f = {-1}

And, g/f = {(-1, 2)}

4 0

3 years ago

What is a measurement 90 degrees called

romanna [79]

It would be a right angle

4 0

2 years ago

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Explain and answer please throughlly explain. I got 7 with a remainder of 3 halp. I think its .73 idk.

kipiarov [429]

Answer:

H) 0.75

Step-by-step explanation:

4.5 divided by 6 is 0.75

We don't use remainders in algebra for the most part. We have to do regular division. I'll try to show it here:

____._7___5_____________

6 ) 4 . 5 0

4 . 2

____________

0 . 3 0

0 . 3 0

_____________

0

7 0

3 years ago