The bottom of a 12-foot ladder is placed on the ground 7 feet from the base of a pipe sticking out of the ground. The top of the
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Answer:
0.75 feet per second.
Step-by-step explanation:
Please find the attachment.
We have been given that a 25-ft ladder is leaning against a wall. We can see from the attachment that ladder forms a right triangle with respect to wall and ground.
So we can set a Pythagoras theorem as:
Now, we need to find the derivative of above equation with respect to time.
Since the adder is moving toward the wall at a rate of 1 ft/sec for 5 sec, so x after 5 seconds would be:
Let us solve for y using Pythagoras theorem.
Take positive square root:
Upon substituting our given values in derivative equation, we will get:
Therefore, the ladder is moving up at a rate of 0.75 feet per second.
The amount paid by Heron for the video game is $46.64.
Step-by-step explanation:
Here, the marked price of the video game = $55
The discount percentage on the video game = 20%
Calculating 20% of the $55, we get:
So, the discount offered on the video game = $11
Selling Price = Marked Price - Discount
=$55 - $11 = $44
Now, the tax percentage on the video game = 6%
Calculating 6% of the $44, we get:
So, the tax on the video game = $2.64
New Selling Price = Selling Price + Tax
=$44 + $2.64 = $46.64
So, the amount paid by Heron for the video game is $46.64.