Answer:
x = 40 in
Step-by-step explanation:
the missing angle in the triangle on the left is
180° - (74 + 51)° = 180° - 125° = 55°
the missing angle in the triangle on the right is
180° - (74 + 55)° = 180° - 129° = 51°
the 2 triangles have 3 pairs of congruent angles and are therefore congruent.
Corresponding sides and angles are then congruent
consider the corresponding sides opposite 74° , that is x and 40 in , so
x = 40 in
For the perimeter you have to consider the EXTERNAL SHAPE ONLY:
a) the perimeter of half a circle WITHOUT ITS DIAMETER is:
π.R - 2R → 3.14x1.5 - 2x1.5 → 1.71 cm
b) the perimeter of the rectangle WITHOUT THE UPPER SIDE is:
2.5+3+2.5 = 8 cm
Hence the perimeter of the figure is 1.71 + 8 = 9.71 cm
2) Area of the figure:
Area of half circle is π.R²/2 →3.14 x (1.5)²/2 → Area half circle = 3.5325 cm²
Area of rectangle = 2.5 x 3 = 7.5 cm²
Total area = 3.5325 + 7.5 = 11.0325 ≈ 11 cm²
Answer:
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Answer: 37.68 square inches of paper
Step-by-step explanation:
Hi to answer this question we have to calculate the side area (since the label doesn't cover the top and bottom area)
First, we have to find the circumference.
Circumference (C) = 2 π r
Since:
Diameter = 2 radius
3 = 2r
3/2 =r
r =1.5 inches
Back with the circumference formula
Replacing with the values given:
C = 2 (3.14) 1.5
C= 9.42
Side area = C x heigth = 9.42 x 4 = 37.68 square inches
Every time you get 6 times out of 8 you times it like 12 16,18 24