Please answer this question correctly for 30 points and brainliest!!
2 answers:
Answer:
8 cm
Step-by-step explanation:
See the diagram below.
The triangle formed by the radius, half the chord length, and the distance (d) from the center to the water is a right triangle with hypotenuse 20 cm and one leg length 16 cm. Then the other leg (d) can be found using the Pythagorean theorem:
d^2 + 16^2 = 20^2
d = √(400 -256) = 12
The depth of the water is the difference between this distance and the radius, so is ...
20 cm - 12 cm = 8 cm
The maximum depth of the water in the pipe is 8 cm.
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Answer:
y=-x+
Step-by-step explanation:
First, calculate the slope of the line that is perpendicular to the equation of line we are asked to find
m=(y2-y1)/(x2-x1)
=(2-(-4))/(-2-1)
=6/-3
=-2
in this equation the slope is 2, and to find the first equation, use y=mx+b
use the point (1, -4) to find b
-4=(2)(1)+b
-4=2+b
b=-6
the first equation of the line is y=2x-6
to find the x intercept of that line substitute 0 for y
0=2x-6
2x=6
x=3
the slope of a line perpendicular to this would be the opposite reciprocal of the slope which would be equal to -1/2
for the second equation of the line to pass thorugh the x-intercept of the first line, it must pass through (3, 0), so substitute and solve for b
y=mx+b
0=(-1/2)(3)+b
b=3/2
thus the equation of the line that is perpendicular to the line through (1,-4) and (-2, 2) and passes through the x intercept of that line is y=-x+3/2
