Answer: x = 9.6
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Explanation:
We have two smaller right triangles that are glued together so to speak.
The base of the smaller triangle on the left is 5 while the height is h.
Let's use the tangent rule to find the value of h
tan(angle) = opposite/adjacent
tan(55) = h/5
5*tan(55) = h
h = 5*tan(55)
h = 7.14074003371058
Make sure your calculator is in degree mode. That value of h above is approximate.
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Now focus on the smaller triangle on the right
It has the same height value h. This side is the adjacent side while x is the hypotenuse.
We'll use the cosine ratio
cos(angle) = adjacent/hypotenuse
cos(42) = h/x
cos(42) = 7.14074003371058/x
x*cos(42) = 7.14074003371058
x = 7.14074003371058/cos(42)
x = 9.6088135029715
x = 9.6
Answer:
a. 1/2 + 9/10 = 5/10+9/10 = 14/10 = 7/5 = 1 2/5 meters or ribbon
b. 5/8 = 15/24, 7/12 = 14/24 Jeff jogged longer and by 1/24 kilometers
c. 3/9 = 6/18. 15/18-6/18 = 9/18 = 1/2 left.
Hope this helps :)
Step-by-step explanation:
<h3>Answer: 32 degrees</h3>
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Work Shown:
Inscribed angle theorem
arc measure = 2*(inscribed angle)
arc ABC = 2*(angle D)
arc ABC = 2*(35)
arc ABC = 70 degrees
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break arc ABC into its smaller pieces
(minor arc AB)+(minor arc BC) = arc ABC
(38)+(minor arc BC) = 70
minor arc BC = 70-38
minor arc BC = 32
Answer:
Largest volume in terms of r = 4r^3π/ 3√3 or you could write it as 4√3r^3π/9.
Step-by-step explanation:
