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Mathematics

1 answer:

slega [8]3 years ago

4 0

Answer:

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Select the lengths in centimeters that would form a right triangle

Ivenika [448]

Answer:

9, 40 and 41

Step-by-step explanation:

All right triangle have lengths that follow the Pythagorean Theorem (a²+b² = c²). Right triangles have one angle equal to 90°. The two shorter sides form the right angle and the side opposite the right angle is called the hypotenuse.

Using the lengths given, we can use guess and check to see what sum of two sides squared would equal a third side, or just plug them into the equation: a²+b² = c² and see what lengths fit this equation.

I recommend starting with squares you are familiar with:

9² + 40²= 81 + 1600 = 1681

Now, take the √1681 to find the length of 'c', or the hypotenuse:

√1681 = 41

Since these three lengths fit the Pythagorean Theoreom, the would form a right triangle.

4 0

3 years ago

How much Zn and how much HCl should be used to produce 1.5 g ZnCl2

tatuchka [14]

Answer:

0.71963 g of Zn
0.80256 g of HCl

Step-by-step explanation:

The required mass of reactants can be computed from the number of moles of product.

moles of ZnCl₂ = (1.5 g)/(136.282 g) ≈ 0.0110066 moles

Then the mass of Zn required is ...

mass of Zn = (0.0110066 mol)(65.382 g/mol) = 0.71963 g

Two moles of HCl are used in the reaction with each mole of Zn, so the mass of HCl required is ...

mass of HCl = 2(0.0110066 mol)(36.458 g/mol) = 0.80256 g

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<em>Comment</em>

The discrepancy in the last two decimal places of the weights above versus the calculator output below comes from rounding of moles of Zn to 4 significant digits, instead of 5 or more. The number of moles of ZnCl₂ is closer to 0.0110066.