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Zielflug [23.3K]
3 years ago
9

A 20 meter ladder rests vertically against the side of a barn. A pig that has been hitched to the ladder starts to pull the base

of the ladder away from the wall at a constant rate of 0.4 meters per second. Find the rate of change of the height of the top of the ladder after 30 seconds.
Mathematics
1 answer:
kirill115 [55]3 years ago
7 0

Answer:

I hope my drawing explains well lol... h = 16

Step-by-step explanation:

So basically first you need to find x (the one in the drawing), by doing so, you just have to use the formula,

speed =  \frac{distance}{time}

You substitute in the speed and the time given,

0.4 =  \frac{x}{30}  \\ x = 12

Then, you use the Pythagorean theorem,

h =  \sqrt{ {20}^{2}  -  {12}^{2} } \\  h = 16

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Thea has a key on her calculator marked $\textcolor{blue}{\bf\circledast}$. If an integer is displayed, pressing the $\textcolor
worty [1.4K]

Answer:

$9$

Step-by-step explanation:

Given: Thea enters a positive integer into her calculator, then squares it, then presses the $\textcolor{blue}{\bf\circledast}$ key, then squares the result, then presses the $\textcolor{blue}{\bf\circledast}$ key again such that the calculator displays final number as $243$.

To find: number that Thea originally entered

Solution:

The final number is $243$.

As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,

the number before $243$ must be $324$.

As previously the number was squared, so the number before $324$ must be $18$.

As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,

the number before $18$ must be $81$

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3 0
3 years ago
What value of n makes the equation true?
Naddik [55]

Answer:

n = 5.2.

Step-by-step explanation:

-20.8 = -4n

We divide both sides of the equation by -4:

-20.8 / -4 = -4n/-4

5.2 = n  (answer).

4 0
3 years ago
Read 2 more answers
A truck has left point A with a speed of 60 mph. After 2 hours a car has left point A with a speed of 90 mph. At what distance f
Grace [21]

Answer:

360 miles

Step-by-step explanation:

When the second car catches up with the first car they will have travelled the same distance which we call x miles.

Speed = distance / time

For first car   60  = x / t       where t = time taken

giving x = 60t

for second car   90 =  x / (t - 2)

giving x =  90t - 180

So equating these 2 equations

60t = 90t - 180

30t = 180

t = 6 hours

So x the distance  =  60t = 360 miles   answer

3 0
3 years ago
Bdnenenesnsnssnnsnabsbsbsbsbbss
Mekhanik [1.2K]

brb gotta go mop the lawn and fold the dishes

3 0
3 years ago
PLEASE HELP IM SO CONFUSED ON HOW TO DO THIS. Thanks if you can help. :P
statuscvo [17]
Answer for your question

8 0
3 years ago
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