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ANEK [815]
3 years ago
12

The hypotenuse of a right triangle is 6 inches, and the side opposite to angle theta, one of the non-right angles, is three squa

re root 3 inches long. What is the measure of angle theta?
Mathematics
1 answer:
Anton [14]3 years ago
6 0

Answer:

theta = 60°

Step-by-step explanation:

sin theta = 3 √3 / 6 = √3 / 2

theta = 60°

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Determine the mass of a solid steel ball that has a diameter of 10 cm. The density of pure steel is 8.09 g/cm3
Basile [38]

Answer:

<em>The mass of the steel ball is 4,235.9 gr</em>

Step-by-step explanation:

<u>Density</u>

The density ρ of a substance is a measure of its mass per unit volume:

\displaystyle \rho=\frac{m}{V}

If the density and the volume are given, the mass can be calculated by solving the above formula for m:

m=\rho.V

We know the density of pure steel ρ=8.09 gr/cm3 and the diameter of a solid steel ball d=10 cm.

We need to calculate the volume of the sphere:

The volume of a sphere of radius r is given by:

\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3

The radius is half the diameter: r= 10/2 = 5 cm. Thus:

\displaystyle V=\frac{4}{3}\cdot \pi\cdot 5^3

Calculating:

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