Answer:
The hat weight = 81.166 g
Step-by-step explanation:
∵The figure formed by a rectangle and two identical semi-circle
∵ The length of the rectangle = 52 cm = 0.52 m
∴ The length of the two diameter = 52 cm = 0.52 m
∴ The radius of the semi-circle = 52 ÷ 4 = 13 cm = 0.13 m
∴ The width of the rectangle = 36 - 13 = 23 cm = 0.23 m
∴ The area of the rectangle = 0.52 × 0.23 = 0.1196 m²
∴ The area of the semi-circles = π (0.13)² = 0.0531 m²
∴ The area of the hat = 0.1196 + 0.0531 = 0.17269292 m²
∵ 1 m² = 470 g
∴ The weight of the hat = 0.17269292 × 470 = 81.16567 ≅ 81.166 g
The angle formed by the intersection of tangent and secant outside the circle equals half the difference of the <span>intercepted arcs.
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1,365
I hope it’s correct please mark me :)
The box has volume
11 in × 3 in × <em>x</em> in = 33<em>x</em> in³
and surface area
2 (11 in × 3 in + 11 in × <em>x</em> in + 3 in × <em>x</em> in) = (66 + 28<em>x</em>) in²
The volume and area have the same value if
33<em>x</em> = 66 + 28<em>x</em>
Solve this equation for <em>x</em> :
33<em>x</em> - 28<em>x</em> = 66
5<em>x</em> = 66
<em>x</em> = 66/5 = 13.2
