Answer:
The area of a trench is 5.5 m² .
Step-by-step explanation:
Formula
Area of a rectangle = Length × Breadth
As given
Tanya has a garden with a trench around it.
i.e
Put in the above formula
= 5 m²
As given
i.e
= 10.5 m²
Area of the trench = Area of garden with trench - Area of garden
Put the value in the above
Area of the trench = 10.5 m² - 5 m²
= 5.5 m ²
Therefore the area of a trench is 5.5 m² .
We have to find the exact value of: arc cos ( sin ( π /6 ) ).
We know that:
sin ( π/6 ) = sin 30° = 1/2
Arc cos is the inverse function of cosine.
arc cos ( 1/2 ) = 60° = π/3
Answer:
Perimeter of shape B = 50 cm
Step-by-step explanation:
Perimeter of shape A = 60 cm
Let the length of each square = x cm
Total length of free boundaries of shape A = 12x
Therefore, 12x = 60
x = 5 cm
Now length surfaces of shape B = 10x
Perimeter of shape B = 10x
= 10(5)
= 50 cm
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