Answer:
30.56 yd²
Step-by-step explanation:
To determine the area of the composite shape, we need to:
- Divide the shape into two smaller "known" shapes (Refer to image).
- Determine the area of those "known" shapes.
- Add the area of the known shapes to obtain the area of the figure.
<u>Determining the area of shape 1 (Rectangle 1):</u>
⇒ Area of rectangle = Lenght × Breadth
⇒ = 2.1 × 4.8
⇒ = 10.08 yd²
<u>Determining the area of shape 2 (Rectangle 2):</u>
⇒ Area of rectangle = Lenght × Breadth
⇒ = 6.4 × 3.2
⇒ = 20.48 yd²
<u>Determining the area of the figure:</u>
⇒ Area of figure = Area of rectangle 1 + Area of rectangle 2
⇒ = 10.08 + 20.48
⇒ = 30.56 yd²
<em>86.20 ft²</em>
- Step-by-step explanation:
<em>Hi there !</em>
<em>A = A₁ + A₂</em>
<em>A₁ =semicircle</em>
<em>A₁ = πr²/2</em>
<em>r = d/2 = 6.4ft/2 = 3.2 ft</em>
<em>A₁ = 3.14×(3.2ft)²/2 ≈ 32.15 ft²</em>
<em />
<em>A₂ = trapezium</em>
<em>A₂ = (b + B)×h/2</em>
<em>A₂ = (5.1ft + 6.4ft)×9.4ft/2 = 54.05 ft²</em>
<em />
<em>A = 32.15 ft² + 54.05 ft² = 86.20 ft²</em>
<em>Good luck !</em>
Answer:
The wedge cut from the first octant ⟹ z ≥ 0 and y ≥ 0 ⟹ 12−3y^2 ≥ 0 ⟹ 0 ≤ y ≤ 2
0 ≤ y ≤ 2 and x = 2-y ⟹ 0 ≤ x ≤ 2
V = ∫∫∫ dzdydx
dz has changed from zero to 12−3y^2
dy has changed from zero to 2-x
dx has changed from zero to 2
V = ∫∫∫ dzdydx = ∫∫ (12−3y^2) dydx = ∫ 12(2-x)-(2-x)^3 dx =
24(2)-6(2)^2+(2-2)^4/4 -(2-0)^4/4 = 20
Step-by-step explanation:
Answer:
Awadh which was popularly known as the granary of India, was important (strategically) for the control of the Doab, a fertile plain between the Ganges and the Yamuna rivers. It was a wealthy kingdom, able to maintain its independence against threats from the Marathas, the British and the Afghans.
