The line needs to be 8.06 m long
Explanation
Given that the ladder is 7 feet tall and the bottom of the slide should be 4 m away from the ladder.
The ladder,slide and the ground connecting them makes the sides of a right angled triangle with ladder as the height and ground as the base.
base=4m
height=7m
hypotenuse can be determined using pythagoras law
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Answer:</h2>
∠LMN is a right angle
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Step-by-step explanation:</h2>
If we want to prove that two right triangles are congruent by knowing that the corresponding hypotenuses and one leg are congruent, we begin as follows:
- Since two legs are congruent and we know this by the hash marks, then the triangle ΔLKN is isosceles.
- By definition LN ≅ NK
- If ∠LMN is a right angle, then MN is the altitude of triangle ΔLKN
- Also MN is the bisector of LK, so KM ≅ ML
- So we have two right triangles ΔLMN and ΔKM having the same lengths of corresponding sides
- In conclusion, ΔLMN ≅ ΔKMN
Answer:
$54.40
Step-by-step explanation:
First, find the new price after the 20% markdown:
80(0.8)
= 64
Then, find the price with the 15% markdown:
64(0.85)
= 54.4
So, the new price of the coat is $54.40
You have the following function:
Derivate implictly the previous expression, as follow:
Where you have used that:
Then, the implicit derivative of the given expression is:
Next, solve for y' as follow:
