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Answered on 05 Mar Learn The Triangle and its Properties
Sadika
The difference between a triangle and a triangular region lies in their definitions and conceptualizations:
Triangle:
Triangular Region:
In summary, a triangle is the geometric figure formed by three line segments, while the triangular region is the area enclosed by those line segments within the triangle. The triangle itself represents the boundaries of the triangular region.
Answered on 05 Mar Learn Lines and Angles
Sadika
If the supplement of an angle is 65°, then the supplement and the angle itself add up to 180°.
Let the angle be x degrees.
So, we have:
x + 65 = 180
Now, let's solve for x:
x = 180 - 65
x = 115
Now, we know that the complement of an angle is the amount by which the angle needs to be increased to reach 90°.
So, the complement of the angle is:
90 - x
Substituting the value of x, we get:
90 - 115 = -25
Therefore, the complement of the angle is -25°.
read lessAnswered on 05 Mar Learn Practical Geometry
Sadika
To draw triangle DEF with side lengths DE = DF = 4 cm and EF = 6 cm, follow these steps:
Draw a line segment of length 6 cm. This will represent side EF.
At one end of the line segment, mark point F.
With F as the center and a radius of 4 cm, draw an arc to intersect the line segment EF. Mark this point as D.
Now, with F as the center and a radius of 4 cm, draw another arc to intersect the line segment EF. Mark this point as E.
Connect points D, E, and F to form triangle DEF.
Now, to measure angles E and F, you can use a protractor:
Measure angle E: Place the center of the protractor at point E, align the baseline of the protractor along side DE, and read the angle where side EF intersects the protractor.
Measure angle F: Place the center of the protractor at point F, align the baseline of the protractor along side EF, and read the angle where side DE intersects the protractor.
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Answered on 05 Mar Learn Practical Geometry
Sadika
Given: Length = 9 dm 5 cm = 95 cm, Breadth = 6 dm 5 cm = 65 cm, Rate = 20 paise = Rs 0.20 per square cm
Area of table top = length * breadth
Area of table top = 95 cm * 65 cm = 6175 square cm
Cost of polishing = Area of table top * Rate
Cost of polishing = 6175 sq cm * Rs 0.20/sq cm = Rs 1235
Answered on 07 Mar Learn 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 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.
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Answered on 07 Mar Learn Perimeter and Area
Sadika
To find the total area of glass required for 12 panes, we first find the area of one pane and then multiply it by the number of panes.
Area of one pane = Length × Breadth = 25 cm × 16 cm = 400 cm²
Now, we have to convert the area from square centimeters to square meters, as 1 square meter equals 10,000 square centimeters.
So, 400 cm² = 400 / 10,000 m² ≈ 0.04 m²
Therefore, the area of one pane is approximately 0.04 square meters.
To find the total area required for 12 panes, we multiply the area of one pane by the number of panes:
Total area = Area of one pane × Number of panes = 0.04 m² × 12 = 0.48 m²
So, 0.48 square meters of glass will be required for 12 panes.
Answered on 07 Mar Learn 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 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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Answered on 07 Mar Learn Perimeter and Area
Sadika
First, let's find the area of one tile:
Area of one tile = Length × Width = 22 cm × 10 cm = 220 cm²
Now, we need to convert the area of one tile from square centimeters to square meters since the room dimensions are given in meters.
1 square meter = 10,000 square centimeters
So, 220 cm² = 220 / 10,000 m² = 0.022 m²
Next, let's find the area of the room:
Area of the room = Length × Width = 9.68 m × 6.2 m = 59.936 m² (approximately)
Now, let's find how many tiles are needed to cover the floor of the room:
Number of tiles = Area of the room / Area of one tile = 59.936 m² / 0.022 m² ≈ 2724 tiles
Now, let's find the total cost of the tiles at the rate of Rs 2.50 per tile:
Total cost = Number of tiles × Cost per tile = 2724 tiles × Rs 2.50 per tile = Rs 6810
So, the total cost of the tiles will be Rs 6810.
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