There is 2 ways to solve this type of question.
Method 1
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Formula
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a² + b² = c²
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Apply the formula
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(7√2)² + (7√2)² = c²
c² = 98 + 98
c² = 196
c = √196
c = 14
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Ans: The diagonal length is 14cm
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Method 2
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Identify the triangle
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This is a special triangle
45° - 45° - 90°
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Property of the Angles
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x - x - x√2
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Find hypotenuse
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Given that the non-hypotenuse is 7√2
Hypotenuse = (7√2)(√2)
Hypotenuse = 7 x 2
Hypotenuse = = 14cm
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Ans: The diagonal length is 14cm
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The answer is
5q/2 or q×5/2
Answer:
x = 20
Step-by-step explanation:
Traingle ABC = Traingle DEC
4x-1×4×5 = x+2×4×5
80x-1 = 2×20x
80x-20x = 2+1
60x = 3
60÷3 = x
x = 20
Answer:
<u>There are 270 longs</u>
Step-by-step explanation:
<u>Equations</u>
We must write the problem into a mathematical model that allows us to apply the properties of basic algebra and solve for the variable which must be adequately set up.
We have three unknowns: the number of long blocks, flats blocks, and cubes. The conditions are given:
- There are three times as many longs as cubes
- There are 30 fewer flats than longs.
- There are 600 blocks in all
For the equation to be easier solved, let's set the variable as the number of cubes:
x = number of cubes
Considering the first condition, we have
3x = number of longs
3x-30 = number of flats
And finally:
Joining like terms:
Solving for x
Therefore, there are 3x = 3*(90) = 270 longs
Answer: there are 270 longs
