1. area = 3.14 x 3.5^2 = 38.46 = 38.5 cm^2
2. circumference = 2 x 3.14 x r = 21.98 = 22.0 cm
3. area = 3.14 x 6^2 = 113.04 = 113.0 ft^2
4. area = (8*5) + (.5x 3.14*4^2) = 90.24 = 90.2 cm^2
5. area = (4*4) - (3.14x 2^2) = 3.44 = 3.4 in^2
1. area = 3.14 x 3.5^2 = 38.46 = 38.5 cm^2
2. circumference = 2 x 3.14 x r = 21.98 = 22.0 cm
3. area = 3.14 x 6^2 = 113.04 = 113.0 ft^2
4. area = (8*5) + (.5x 3.14*4^2) = 90.24 = 90.2 cm^2
5. area = (4*4) - (3.14x 2^2) = 3.44 = 3.4 in^2
5) 13
6) 6
7) 8
8) 30
9) 3.464 = 3.46 = 3.5 = 4 (could be any of these just depends on what your looking for.)
10) i: 40^2 ii:84^2
5) 13
6) 6
7) 8
8) 30
9) 3.464 = 3.46 = 3.5 = 4 (could be any of these just depends on what your looking for.)
10) i: 40^2 ii:84^2
A) 19.2 ft^2
B) 28.9 ft^3
Step-by-step explanation:
Thickness = 8 inches
Assuming the triangular prism is made up of an equilateral triangle hence all sides are equal
lets assume the side = 10 inches
lets assume the thickness as the height of the prism = 8 inches
Assume length of the rectangle(l) = 5 feet
A) The surface area of the sandwich triangular prism
total surface area = bh + 2ls + lb
= 10*8 + 2(5*10) + ( 5 * 10 )
= 80 + 100 + 50 = 230 inches = 19.2 ft^2
B ) The volume of filing in cubic feet to the nearest tenth
V = ------- 1
where : a = b = c = 10 inches
h = 8 inches
input the given values into the equation 1 above
V= 346.41 inches ^3 = 28.9 ft^3
A) 19.2 ft^2
B) 28.9 ft^3
Step-by-step explanation:
Thickness = 8 inches
Assuming the triangular prism is made up of an equilateral triangle hence all sides are equal
lets assume the side = 10 inches
lets assume the thickness as the height of the prism = 8 inches
Assume length of the rectangle(l) = 5 feet
A) The surface area of the sandwich triangular prism
total surface area = bh + 2ls + lb
= 10*8 + 2(5*10) + ( 5 * 10 )
= 80 + 100 + 50 = 230 inches = 19.2 ft^2
B ) The volume of filing in cubic feet to the nearest tenth
V = ------- 1
where : a = b = c = 10 inches
h = 8 inches
input the given values into the equation 1 above
V= 346.41 inches ^3 = 28.9 ft^3
36.5 cm²
Explanation:
The perimeter of the smaller shape = 20 cm and The area of the smaller shape = 18.6 cm²
The perimeter of the bigger shape = 28 cm
The length and breadth of the smaller shape is increased by a factor of k to produce the larger shape.
If the length of the smaller shape = l and its width = w. The perimeter of the smaller shape = 2(l + w) = 20
Since The length and breadth of the smaller shape is increased by a factor of k to produce the larger shape, the length of the larger shape = kl and its width = kw. Therefore the perimeter of the larger shape = 2(kl + kw) = 2k (l + w) = 28 cm
To find k, divide the perimeter of the larger shape by the perimeter of the larger shape:
The area of the smaller shape = l * w = 18.6 cm²
The area of the larger shape = kl * kw = k² * l * w = 1.4² * 18.6 cm² = 36.5 cm²
36.5 cm²
Explanation:
The perimeter of the smaller shape = 20 cm and The area of the smaller shape = 18.6 cm²
The perimeter of the bigger shape = 28 cm
The length and breadth of the smaller shape is increased by a factor of k to produce the larger shape.
If the length of the smaller shape = l and its width = w. The perimeter of the smaller shape = 2(l + w) = 20
Since The length and breadth of the smaller shape is increased by a factor of k to produce the larger shape, the length of the larger shape = kl and its width = kw. Therefore the perimeter of the larger shape = 2(kl + kw) = 2k (l + w) = 28 cm
To find k, divide the perimeter of the larger shape by the perimeter of the larger shape:
The area of the smaller shape = l * w = 18.6 cm²
The area of the larger shape = kl * kw = k² * l * w = 1.4² * 18.6 cm² = 36.5 cm²
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