Answer:
π/4 radians
Step-by-step explanation:
The arc length formula is s = rФ, where Ф is the central angle (in radians).
Here, r = 8 inches and s = arc length = 2π inches. We need to find the central angle, Ф. The formula given above is s = rФ, or, equivalently,
Ф = s/r.
Here, the central angle is Ф = s/r = 2π/8, or π/4 radians.
Answer:
14 inches
Step-by-step explanation:
Since the rectangular prism has a square base, we know that the width and length are equal.
Using the formula for calculating the volume of a rectangular prism, we can set up an equation:
(width^2)*height = 980 cubic inches or
(width^2)*5 in. = 980 cubic inches, simplify the equation by dividing each side by 5 inches, and the result is:
width^2 = 196 sq.in., simply by taking the square root of each side of the equation, and the result is:
√width (inches) = √196 square inches = width = 14 inches
each side of the prism's base is 14 inches
√81 is farther to the right becaue 2.5^2 = 6.25 and <span>√81 is 9</span>
Answer:
9
Step-by-step explanation:
<em>Degrees of freedom</em> is the number of values in the final calculation of a statistic that are free to vary. Degrees of freedom are related to sample size and calculated by n-1 where n is the <em>sample size</em>.
The Supervisor selects 10 teddy bears as sample from 5000 teddy bears produced daily. Therefore in this situation, there are 10-1=9 degrees of freedom
