square root of(0.0169 x ?) = 1.3
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10
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100
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1000
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none of these
To solve this question, the user needs to know how to solve equations involving square roots and basic arithmetic. The user must also understand that the square root of a product is equal to the product of the square roots.
We start by isolating the variable in the equation:
$$\sqrt{0.0169x} = 1.3$$
We can then solve for x by squaring both sides of the equation:
$$0.0169x = 1.69$$
$$x = \frac{1.69}{0.0169} = 100$$
Therefore, the answer is option B: 100, since it is the only value that satisfies the equation.
Option A and C are incorrect since they are not the correct value of x that satisfies the equation. Option D is also incorrect since we have found a value of x that satisfies the equation, which is 100.
Solve algebraically: √(0.0169 × x) = 1.3. Square both sides: 0.0169 × x = 1.3² = 1.69. Divide: x = 1.69 / 0.0169 = 100. So the answer is 100, confirmed by checking: 0.0169 × 100 = 1.69, and √1.69 = 1.3. The other options (10, 1000) fail this check — √(0.0169×10) = √0.169 ≈ 0.41, and √(0.0169×1000)=√16.9≈4.11, neither equals 1.3. 'None of these' is wrong since 100 satisfies the equation exactly.