Answer:
B
Step-by-step explanation:
First find the circumference of the circle with radius of 9 inches:
The full angle has 360°, so, to find the length of the arc DE, you can write:
which yields a proportion:
Answer:
20 inches
Step-by-step explanation:
Use the Pythagorean Theorem.
9514 1404 393
Answer:
it depends
Step-by-step explanation:
The ideas of "increasing" or "decreasing" have to do with the sign of the derivative of a function. The derivative of a function is a limit, which is only defined if the point can be approached from both sides. For a function that is only defined on an interval, the derivative is undefined (hence "increasing" or "decreasing" are undefined) at the end points of the interval.
When the function is defined on an interval, "increasing" or "decreasing" can only be determined on that open interval. There may also be critical points within an interval at which the derivative is either zero or undefined. Those points must also be excluded from any interval of "increasing" or "decreasing".
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If a function is defined over a domain that extends beyond the interval of interest, then the derivative may very wll be defined a the end points of the interval of interest. As a simple example, consider a line with defined non-zero slope: y = kx, k≠0. For k>0, the line will be increasing everywhere. The slope is defined at the end points of any finite interval, so the function can be said to be "increasing" on the closed interval.
Similarly, if the (finite) interval of interest includes the vertex of a parabola defined for all real numbers, the function will be "increasing" on one side of the vertex, and "decreasing" on the other side. Both the "increasing" and "decreasing" intervals will be half-open intervals. The point at the vertex will not be included in either of them.
Answer:
502.4 in²
Step-by-step explanation:
Area of a sphere = 4 πr²
Plastic beach balls are spherical in shape.
Hence, the Area of a sphere = 4πr²
Where r = radius = 2 inches
π = 3.14
Hence, the area of one spherical ball =
4 × 3.14 × 2²
= 50.24 square Inches
For 1 spherical ball, 50.24 square inches of plastic is needed to make it.
How many square inches of plastic does the company need to make 10 beach balls?
Therefore,
1 spherical ball = 50.24 in²
10 spherical balls = x
Cross Multiply
x = 10 × 50.24 in²
x = 502.4 in²
Therefore, 502.4 square inches of plastic is needed by the company to make 10 beach balls.
Answer:
a)- Given that a student is a 10th grader, there is a 14% chance he or she has a job.
Step-by-step explanation:
Option (a) is correct here because Relative frequency means the probability of occurrence or number of time-specific event occurs to the total event.
Option (b) is not correct because We already know that student is in 10th or 11th grade, after that we get to know about 14% chance.
Option (c) & (d) are clearly not possible.
