Step-by-step explanation:
is similar to 
so we can write the ratio
Solving for x, we get
The figure consists of a triangle and two rectangles.
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Top Triangle:
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Height = 22 - 10 - 7 = 5cm
Base = 20 - 5 - 5 - 10cm
Area of triangle = 1/2 x 5 x 10 = 25 cm²
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Middle Rectangle:
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Length = 10cm
Width = 7cm
Area = 10 x 7 = 70 cm²
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Bottom Rectangle:
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Length = 20 cm
Width = 10 cm
Area = 20 x 10 = 200 cm²
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Total Area:
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Area = 25 + 70 + 200 = 295 cm²
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Answer: Area = 295 cm²
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Answer:
The common ratio is 5 and the 5th term is 1250
Step-by-step explanation:
The common ratio is given by
r=U(2)/U (1)
=10/2
=5
The fifth term
U (n)=ar^n-1
U(5)=2(5)^5-1
=2×5^4
=2×625
=1250
The distance between Branch A and Branch B is given by the Pythagoras theorem
AB² = (Vertical Distance)² + (Horizontal Distance)²
AB² = (4-1)² + (1 - -3)²
AB² = 3² + 4²
AB² = 9 + 16
AB² = 25
AB = 5
BC² = (Vertical distance)² + (Horizontal distance)²
BC² = (-2 - 4)² + (5-1)²
BC² = (-6)² + (4)²
BC² = 36 + 16
BC² = 52
BC = 7.21
Half way of BC = 7.21 ÷ 2 = 3.6 miles
Total distance travelled from A to B and then halfway from B to C is 3.6+5 = 8.6 miles
3/4 =6/8 so you have 3/4slices of pizza cut the 3 of them in half
