Answer:
h = 5.4
Step-by-step explanation:
Basically these are 2 similar triangles. That means:
Corresponding sides are proportional.
We can set up a ratio of each triangle separately and equate, cross multiply and solve for "h".
h corresponds to 2.4
2.9 corresponds to 1.3
Setting up the ratio and solving for h:
Rounded to 1 decimal place,
h = 5.4
Can you explain it or maybe take a picture?
I think so C is correct
Because is true.
Tangent theta = opp/adj = 48/36 = 4/3
The area of a circular sector of central angle α (in radians) in a circle of radius r is given by
... A = (1/2)r²×(α - sin(α))
Your area is expected to be computed as the sum of the areas of a sector with angle π/3 in a circle of radius 8 and a sector with angle π/2 in a circle of radius 6.
... A = (1/2)8²×(π/3 - sin(π/3)) + (1/2)6²×(π/2 - sin(π/2))
... A ≈ 16.07
Radii are in inches so the units of area will be in². The appropriate choice is
... 16.10 in²
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It should be noted that the geometry described is impossible. Chord CD of circle A will have length 6√2 ≈ 8.4853 inches. Chord CD of circle B will have length 8 inches. They cannot both be the same chord.
