A book store has paperback books marked down 25%. What is the total markdown on four books that regularly sell for $8.95,
1 answer:
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Answer:
(d) 71°
Step-by-step explanation:
The desired angle in the given isosceles triangle can be found a couple of ways. The Law of Cosines can be used, or the definition of the sine of an angle can be used.
<h3>Sine</h3>Since the triangle is isosceles, the bisector of angle W is an altitude of the triangle. The hypotenuse and opposite side with respect to the divided angle are given, so we can use the sine relation.
sin(W/2) = Opposite/Hypotenuse
sin(W/2) = (35/2)/(30) = 7/12
Using the inverse sine function, we find ...
W/2 = arcsin(7/12) ≈ 35.685°
W = 2×36.684° = 71.37°
W ≈ 71°
<h3>Law of cosines</h3>The law of cosines tells you ...
w² = u² +v² -2uv·cos(W)
Solving for W gives ...
W = arccos((u² +v² -w²)/(2uv))
W = arccos((30² +30² -35²)/(2·30·30)) = arccos(575/1800) ≈ 71.37°
W ≈ 71°
Answer:
Midpoint is (3.5, 2)
Step-by-step explanation:
the midpoint of the line segment whose endpoints are (5, 2) and (2, 2)
To find midpoint of two end points we use formula
(5, 2) , x1 = 5 and y1= 2
(2,2), x2=2 and y2= 2
Plug in all the values and find the midpoint using the formula
(3.5, 2)
So midpoint is (3.5,2)