An ant is walking around the perimeter of a circular wreath with a radius of 8 inches. If the ant walked 21 inches, how many rad
1 answer:
The movement of the ant illustrates the length of an arc
The measure of the central angle is 2.625 radians
<h3>How to determine the central angle</h3>The radius of the arc is given as:
The distance walked is given as:
The length of an arc is
So, we have:
Divide both sides by 8
Divide
Hence, the measure of the central angle is 2.625 radians
Read more about length of arc at:
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Answer:
Answer: Third option is the right answer.
Step-by-step explanation:
First we the write the expression
Now teacher says that the product of these polynomials will result in the sum of
Now the teacher ask if we put the value of a = 2x and b = 1 then what will be the expression look like.
=
So third option is looking like our expression.
Answer:
B the range, the x- and y-intercept
Step-by-step explanation:
the domain stays the same : all values of x are possible out of the interval (-infinity, +infinity).
but the range changes, as for the original function y could only have positive values - even for negative x.
the new function has a first term (with b) that can get very small for negative x, and then a subtraction of 2 makes the result negative.
the y-intercept (x=0) of the original function is simply y=1, as b⁰=1.
the y-intercept of the new function is definitely different, because the first term 3×(b¹) is larger than 3, because b is larger than 1. and a subtraction of 2 leads to a result larger than 1, which is different to 1.
the original function has no x-intercept (y=0), as this would happen only for x = -infinity. and that is not a valid value.
the new function has an x-intercept, because the y-values (range) go from negative to positive numbers. any continuous function like this must therefore have an x-intercept (again, y = the function result = 0)