Alan bought a new sofa for $800 and used the coupon ‘25% off’. How much did he pay?
1 answer:
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Answer:
Part 1)
Part 2)
Step-by-step explanation:
I will analyze two problems
see the attached figure to better understand the problem
Problem 1
The hypotenuse is the segment AB and the right angle is C
we know that
In the right triangle ABC
---> by SOH (opposite side divided by the hypotenuse)
substitute the given values
Remember that
substitute
Problem 2
The hypotenuse is the segment BC and the right angle is A
we know that
In the right triangle ABC
---> by TOA (opposite side divided by the adjacent side)
substitute the given values
Remember that
substitute
Given:
The vertices of a polygon are A (−1, 1), B (4, 1), C (4,−2), and D(−1,−2).
To find:
The perimeter of ABCD.
Solution:
Distance formula:
Using distance formula, we get
Similarly,
Now, perimeter of ABCD is
Therefore, the perimeter of ABCD is 16 units.