Length of arc is equal to r * angle, where the angle is in radians. Seventy-five degrees in radians is equivalent to 75 * pi / 180 = 5pi/12.
Length of arc = r * angle = (2) * (5pi/12) = 5*pi/6 = 2.62 units.
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It'll take her 15 hours.
Formula: 975= 65x
Where x represents hours
Divide the hexagon into 6 equal streak triangles which would have side length equal to the radius of the circle.
the area of an equal lateral triangle = sqrt(3)/4 x radius^2
the area of the hexagon would be 6 x sqrt(3)/4 x radius^2
Area = 6 x sqrt(3)/4 x 8^2 = 166.2768 square feet
rounded to the nearest whole foot = 166 square feet.
We can solve by figuring the area of the rectangle then add it to the area of the semicircle.
Area of the rectangle: length · width = 6 · 10 = 60 ft²
Area of the semicircle: (πd²)/8 = (3.14 · 6²)/8 = (3.14 · 36)/8 = 14.13 ft²
Total area of the figure: 60 + 14.13 = 74.13 ft² ≈ 74 ft²
Answer:
<u>The correct answer is 2. a = 1/2, b = - 3, c = -2</u>
Step-by-step explanation:
1. Let's review the information provided for an answering the question correctly:
0 =1/2x^2- 3x- 2
0 = 1/2x² - 3x - 2
2. Let's find the values for a, b and c.
According to the quadratic equation, we have:
a = 1/2
b = - 3
c = - 2
<u>The correct answer is 2. a = 1/2, b = - 3, c = -2</u>
