Answer:
Step-by-step explanation:
1) Tangent makes 90 degrees with the radius. Hence
a) Angle ABD = 90-angle BDC = 90-61.3 = 28.7
b) Triangle BCD is isosceles since tangents have equal length.
Hence angle BCD = 180-(61.3+61.3) = 57.4
c) Angle BDC = 57.4 (since triangle BCD is isosceles)
d) Angle BAC and Angle BCD are supplementary. Hence angle BAC = 122,6
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2) Arc length of minor arc BC = 
b) ARc length of minor arc = circumference -minor arc
= 18.713
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3) circumference = pi d = 
Answer:
The equation of the line is y = 1/4x - 4
Step-by-step explanation:
In order to find this, start with two points that are on the line. We'll use (0, -4) and (4, -3). Now we can use the slope formula to find the slope.
m(slope) = (y2 - y1)/(x2 - x1)
m = (-4 - -3)/(0 - 4)
m = -1/-4
m = 1/4
Now that we have this, we can use that slope and a point in point-slope form. Then we solve for y to get the equation.
y - y1 = m(x - x1)
y - -4 = 1/4(x - 0)
y + 4 = 1/4x
y = 1/4x - 4
121 of the green beans will be shorter than 13 centimeters.
First, we need to evaluate the expression below to find the z-score.
(13 - 11.2) / 2.1. = 0.86
The matching percent for this z-score is 0.8051.
Multiplying 0.8051 by 150 gives us about 121 green beans.
Answer:
Step-by-step explanation:
0.04
Answer:
Look at the image.
Step-by-step explanation:
