Stephanie walks 2/5 miles in 1/4 our what is Stephanie speed in miles per hour
2 answers:
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Answer:
m∠A = 30°
m∠B = 80°
m∠C = 70°
Step-by-step explanation:
By applying cosine rule in the given triangle,
b² = a² + c² - 2ac[cos(∠B)]
From the given triangle,
a = 14 m
b = 28 m
c = 24 m
(28)² = (14)² + (24)² - 2(14)(24)cos(B)
784 = 196 + 576 - 672cos(∠B)
cos(∠B) = 0.1786
∠B =
∠B = 79.71°
∠B = 80°
By applying sine rule in the given triangle,
sinA = 0.491958
A = 29.47°
A ≈ 30°
By applying triangle sum theorem,
m∠A + m∠B + m∠C = 180°
30° + 80° + m∠C = 180°
m∠C = 70°
We are given that:
The skateboard park is located at the point (-3,5),
the ice cream shop is located at the point (-3,6),
and the comic book store is located at (4,6).
We are also given that the four coordinates forms a rectangle.
Here we already have two matching x- coordinates as -3 and y coordinates as 6.
Now we must have two matching x and y coordinates too.
As shown in figure , if we have the last coordinate as (4,5), it will complete the rectangle.
So answer is option B) (4,5) is the last coordinate at which his best friend lives.
