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<h3>Example 1 : </h3>
What is the point of intersection of the lines y=3/4x-1 and y=1/8x+4?
1 answer:
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Answer:
see below
Step-by-step explanation:
side opposite 90 angle = x
sides opposite 45 angle = x
the multiplication and division by should be self explanatory
1. x = 5, y = 5
2. v = 10, u = 10
3. x = , y =
4. m = 5, n =
5. a = , b =
6. a = , b =
Answer:
The Area of the base is 16 cm² .
Step-by-step explanation:
Given as :
The surface area of the cuboid = x = 95 cm²
The lateral surface area of the cuboid = y = 63 cm²
Let The Area of the base = z cm²
Now, Let The length of cuboid = l cm
The breadth of cuboid = b cm
The height of cuboid = h cm
<u>According to question</u>
∵ The surface area of the cuboid = 2 ×(length × breadth + breadth × height + height × length)
Or, x = 2 ×(l × b + b × h + h × l)
Or, 95 = 2 ×(l × b + b × h + h × l)
Or, (l × b + b × h + h × l) = ....1
<u>Similarly</u>
∵lateral surface area of the cuboid = 2 ×(breadth × height + length × height)
Or, y = 2 ×(b × h + l × h)
Or, 2 ×(b × h + l × h) = 63
Or, (b × h + l × h) = ......2
Putting value of eq 2 into eq 1
so, (l × b + ) =
Or, l × b = -
Or, l × b =
i.e l × b =
so, l × b = 16
<u>Now, Again</u>
∵The Area of the base = ( length × breadth ) cm²
So, z = l × b
i.e z = 16 cm²
So, The Area of the base = z = 16 cm²
Hence,The Area of the base is 16 cm² . Answer