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2 answers:
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Answer:
θ ≈ 17.1°
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan θ = =
=
, then
θ = (
) ≈ 17.1° ( to the nearest tenth )
The answers to the three shapes are:
Figure 7; perimeter = 16.2mm, area = 12.64 square mm
Figure 8; perimeter = 15.2inches, area = 9.61 square inches
Figure 9; perimeter = 21.47yards, area = 16.81 square yards
<h3>What is the perimeter of a shape?</h3>Perimeter is the outside boundary of a plane shape.
Analysis:
for figure 7, perimeter = s + s + s = 3s = 3(5.4) = 16.2mm
Height of triangle = = 4.68
Area of triangle = 1/2 base x height = 1/2 x 5.4 x 4.68 = 12.64
For figure 8, perimeter = b + b + a = 5.9 + 5.9 + 3.4 = 15.2 inches
Height of triangle = = 5.65inches
Area of triangle = 1/2 base x height = 1/2 x 3.4 x 5.65 = 9.61
For figure 9, perimeter = b + a + c = 8.2 + 4.1 + 9.17 = 21.47yards
Area of triangle = 1/2 x base x height = 1/2 x 8.2 x 4.1 = 16.81
In conclusion, the perimeter and area of the given shapes are:
Figure 7; perimeter = 16.2mm, area = 12.64 square mm
Figure 8; perimeter = 15.2inches, area = 9.61 square inches
Figure 9; perimeter = 21.47yards, area = 16.81 square yards
Learn more about perimeter of plane shapes: brainly.com/question/2569205
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