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Zielflug [23.3K]
2 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]2 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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If f(x)= 5x-3, find x=2​
maw [93]

Answer:

f(x)=7

Step-by-step explanation:

Plug in x=2 to the equation.

f(x)=5(2)-3

f(x)=10-3

f(x)=7

7 0
3 years ago
What’s the Multiplicative inverse
mylen [45]
The multiplicative inverse of -1/3 is -3.

The product of a number and it’s multiplicative inverse equals 1.

So... -1/3 x -3/1 = 1

A negative times a negative equals a positive.


I hope this helped!
6 0
3 years ago
What is the location of point A?<br><br><br><br> (-6, 3)<br> (-6, -3)<br> (6, -3)<br> (3, -6)
Lapatulllka [165]

Point A is located at (-6, 3)

6 0
2 years ago
Read 2 more answers
A-domain: positive integers; range: positive integers; No, it is not a function.
Nookie1986 [14]

Answer: y>0

Step-by-step explanation:

Let's look at the graph. If we do the vertical line test, we can figure out that YES, it is a function, so option b and c are already out of the picture.

Now, to find the domain, look at the graph and shade it back to the x-axis. The domain includes every number greater than 3, so the domain is x>3.

To find the range, take a look at the graph and shade it back to the y-axis. The range includes every real number greater than 0, so the range is y>0

This means that d is the answer.

I really hope this helps!

Best wishes :)

6 0
3 years ago
Read 2 more answers
The sum of the speeds of two trains is 725.2 miles per hour. If the speed of the first train is 10.8 mph faster than the second
Dimas [21]
X=first train speed
y=second train speed

sum of speeds is 725.2
x+y=725.2

x is 10.8 more than y
x=10.8+y

subsitute 10.8+y for x


10.8+y+y=725.2
10.8+2y=725.2
minus 10.8 from both sides
2y=714.4
divide both sides by 2
y=357.2
x=10.8+y
x=10.8+375.2
x=386


the speed of first train is 386mph
second train is 357.2mph
8 0
3 years ago
Read 2 more answers
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