When we know 2 angles and one side, we use the Law of Sines.
First we need to find that third angle.
Angle A =
180 -41 -62 = 77 degrees
The Law of Sines states that
side a / Sine (A) = side x / Sine (X)
14 / Sine (77) = side x / Sine (41)
14 * Sine (41) / Sine (77) = side x
side x = 14 * 0.65606 / 0.97437
<span>side x = 9.18484 / 0.97437
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side x = 9.4264396482
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ANSWER
The length of a Diameter is 3.714
EXPLANATION
The circumscribed triangle is shown in the attachment.
We use the cosine ratio to find the altitude of the isosceles triangle.


Altitude =8cos(60°)
Altitude=4cm
Let the upper half of the altitude be y cm.
Then the radius of the circle is (y-4)cm
The upper radius meets the tangent at right angles.
From the smaller right triangle,






y=1.857
The diameter is 2y

=2(1.875)
The length of a Diameter is 3.714
Answer:
Jane is 52 7/40 inches tall
Step-by-step explanation:
What you do is you subtract 1 3/8 from 54 3/4 which gives you Carl's height, which is 53 3/8.
Lastly, you subtract 1 1/5 from 53 3/8 which is 52 7/40.
The answer to your question is the inequality sign.
Answer:
(x -6)^2 +(y -3)^2 = 2
Step-by-step explanation:
The midpoint (C) is the center of the circle:
C = ((5, 4) +(7, 2))/2 = ((5+7)/2, (4+2)/2) = (6, 3)
A circle with center (h, k) that goes through point (a, b) can be written as ...
(x -h)^2 +(y -k) ^2 = (a -h)^2 +(b -k)^2
Using the values for this problem, we get ...
(x -6)^2 +(y -3)^2 = (5 -6)^2 +(4 -3)^2
(x -6)^2 +(y -3)^2 = 2