Determine whether a tangent is shown in the diagram, Yes or No?
1 answer:
Answer:
No
Step-by-step explanation:
If the line was a tangent, it would be perpendicular to the radius of the circle - hence there would be a 90 angle between them. Therefore we would be able to apply the Pythagorean theorem () to determine the side lengths of a triangle that would be valid. In order for the line to be a tangent so you would say that:
so this must not be the case.
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Hi there!
Find the total area by breaking the figure into two rectangles, one trapezoid, and one triangle.
Rectangles:
A = l × w
A = 2.75 × 4 = 11 in²
Solve for the other rectangle's length by subtracting from the total:
12 - 2 - 3 - 4 = 3
A = 3 × 3 = 9 in²
Total rectangle area: 11 + 9 = 20 in²
Trapezoid:
A = 1/2(b1 + b2)h
A = 1/2(4.25 + 2.75)3 = 21/2 = 10.5 in²
Triangle:
A = 1/2(bh)
A = 1/2(2.5 · 2) = 2.5 in²
Add up all of the areas:
20 + 10.5 + 2.5 = 33 in²