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Post a LessonAnswered on 07 Mar Learn CBSE/Class 7/Maths/Symmetry
Sadika
The letter "Z" has rotational symmetry of order 2. This means that if you rotate the letter "Z" by 180 degrees, it appears the same as its original orientation.
Answered on 07 Mar Learn CBSE/Class 7/Maths/Symmetry
Sadika
The line of symmetry of a semicircle is the vertical line that passes through its center, perpendicular to the base (the diameter). This line divides the semicircle into two mirror-image halves.
Yes, a semicircle does have rotational symmetry, but its order is 1, meaning that it only matches its original shape in one orientation through a full 360-degree rotation. However, if we consider the concept of rotational symmetry in the context of being able to rotate an object less than a full circle (360 degrees) and have it appear the same, then a semicircle exhibits rotational symmetry of order 2 when rotated 180 degrees around the midpoint of its diameter. This is because flipping it 180 degrees around this point will present the same shape and orientation due to its symmetrical nature.
Answered on 07 Mar Learn CBSE/Class 7/Maths/Perimeter and Area
Sadika
To find the area of a square with a side length of 16.5 decameters (dam) in square meters:
Area = side^2 = (16.5 dam)^2 = 16.5^2 dam^2 = 272.25 m^2
So, the area of the square is 272.25 square meters.
Answered on 07 Mar Learn CBSE/Class 7/Maths/Perimeter and Area
Sadika
First, let's find the area of one marble tile:
Area of one tile = Length × Width = 10 cm × 12 cm = 120 cm²
Now, we need to convert the area from square centimeters to square meters since the wall size is given in meters.
1 square meter = 10,000 square centimeters
So, 120 cm² = 120 / 10,000 m² = 0.012 m²
Next, let's find the area of the wall:
Area of the wall = Length × Width = 3 m × 4 m = 12 m²
Now, to find out how many tiles are needed, we divide the total area of the wall by the area of one tile:
Number of tiles = Area of the wall / Area of one tile = 12 m² / 0.012 m² = 1000 tiles
Therefore, 1000 marble tiles will be required to cover the wall.
Now, let's find the total cost of the tiles at the rate of Rs 2 per tile:
Total cost = Number of tiles × Cost per tile = 1000 tiles × Rs 2 per tile = Rs 2000
So, the total cost of the tiles will be Rs 2000.
Answered on 07 Mar Learn CBSE/Class 7/Maths/Perimeter and Area
Sadika
First, let's convert the dimensions of the table top into centimeters, since the rate given is in paise per square centimeter:
Length of the table top = 9 dm * 10 cm/dm + 5 cm = 90 cm + 5 cm = 95 cm Breadth of the table top = 6 dm * 10 cm/dm + 5 cm = 60 cm + 5 cm = 65 cm
Now, let's calculate the area of the table top:
Area of the table top = Length × Breadth = 95 cm × 65 cm = 6175 cm²
Now, let's find the cost to polish the table top at the rate of 20 paise per square centimeter:
Cost = Area of the table top × Rate = 6175 cm² × 20 paise/cm² = 123500 paise
Since 100 paise = 1 rupee, we divide by 100 to convert paise to rupees:
Cost = 123500 paise / 100 = Rs. 1235
So, the cost to polish the table top will be Rs. 1235.
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