Answer:
2.62 radians
Step-by-step explanation:
The angle is found from its cosine using the inverse cosine function.
cos(θ) = (-√3)/2
θ = arccos((-√3)/2) = 5π/6 ≈ 2.62 . . . radians
The two lines will intersect at the point (7, 7)
Simply solve for x:
-x^2 + 9 = 0 => x = 3 and x = -3;
plug x = 3 and x = -3 into the original equation you get 3 = 3 and -9 = -9, respectively;
So, the two intersecting points are (-3, -9), (3, 3).
And of course, the parabola opens down since its square term is minus.
Answer:
32.16 sq ft
Step-by-step explanation:
Multiply 4.8 x 6.7
The length and width of the rectangular box are 13 ft and 6 ft respectively.
<h3>How to find the length and width of a rectangle?</h3>
The length of the batter's box on a softball field is 1 ft more than twice the width.
The area of the batter's box is 78 ft².
The length and width of the rectangular batter's box can be found as follows:
Therefore,
area of a rectangle = lw
where
Therefore,
area of the rectangular box = 78 ft²
l = 1 + 2w
Hence,
78 = (1 + 2w)w
78 = w + 2w²
2w² + w - 78 = 0
Hence,
w = 6 and w = -13 /2
we can only use positive values.
Therefore,
width = 6 ft
length = 2(6) + 1 = 13 ft
learn more on rectangle here: brainly.com/question/14537807
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