Answer:
Step-by-step explanation:
Given that the figure is made up of portion of a square and a semicircle, we have;
BC ≅ AB = 6 cm
The area of semicircle BC with radius BC/2 = 3 is 1/2×π×r² = 1/2×π×3² = 4.5·π cm²
Triangle ABC = 1/2 × Area of square from which ABC is cut
The area of triangle ABC = 1/2×Base ×Height = 1/2×AB×BC = 1/2×6×6 = 18 cm²
The area of the figure = The area of semicircle BC + The area of triangle ABC
The area of the figure = 4.5·π cm² + 18 cm² = .
Answer:
Before coming back up to the surface the maximum depth, Cassidy went was 6.25 ft. below the water surface
Step-by-step explanation:
The height of Cassidy's diving platform above the water = 6 ft.
The equation that models her dive is d = x² - 7·x + 6
Where;
d = Her vertical position or distance from the water surface
x = Here horizontal distance from the platform
At Cassidy's maximum depth, we have;
dd/dx = d(x² - 7·x + 6)/dx = 2·x - 7 = 0
x = 7/2 = 3.5
∴ At Cassidy's maximum depth, x = 3.5 ft.
The maximum depth, = d(3.5) = 3.5² - 7 × 3.5 + 6 = -6.25
The maximum depth, Cassidy went before coming back up to the surface = = -6.25 ft = 6.25 ft. below the surface of the water.
The coordinates of point B that divides the line in the ratio 1:3 is: ( C )(3.25, 2.75)
<h3>What is a line segment?</h3>A line segment is formed by joining two points by a straight line.
Analysis:
The coordinates of point B(x,y) are gotten by the formula
x =
y =
where, x1 and y1 are coordinates of A and x2 and y2 are coordinates of B
are the values of the ratio p:q.
x1 = 4, x2 = 1 y1 = 5, y2 = 2, p = 1, q = 3
x = = 3.25
y = = 2.75
coordinates of B are ( 3.25, 2.75)
In conclusion, the coordinates of point B are (3.25, 2.75)
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