Answer:
Step-by-step explanation:
The area of a sector has the formula
Hopefully, this looks somewhat familiar to you. Theta is the central angle given as 75, r is the radius given as 4. Filling in:
and simplifying that a bit to look less threatening, but not by much:
and
Not sure how you're supposed to express your answer so I gave both the fraction and its decimal equivalency.
The length of side x in simplest radical form with a rational denominator is 8√3
<h3>How to find the length of side x in simplest radical form with a rational denominator?</h3>
The given parameters are:
Triangle type = Equilateral triangle
Height (h) = 12
Missing side length = x
The missing side length, x is calculated using the following sine ratio
sin(60) = Height/Missing side length
This gives
sin(60) = 12/x
Make x the subject of the formula
So, we have
x = 12/sin(60)
Evaluate the quotient
So, we have
x = 12/(√3/2)
This gives
x = 24/√3
Rationalize
x = 24/√3 * √3/√3
Evaluate
x = 8√3
Hence, the length of side x in simplest radical form with a rational denominator is 8√3
Read more about triangles at
brainly.com/question/2437195
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We have the expression:
When we have rational functions, where the denominator is a function of x, we have a restriction for the domain for any value of x that makes the denominator equal to 0.
That is because if the denominator is 0, then we have a function f(x) that is a division by zero and is undefined.
If we have a value that makes f(x) to be undefined, then this value of x does not belong to the domain of f(x).
Expression:
Answer: There is no restriction for x in the expression.
2.5y + 1.1x ∠ 10
2.5y = - 1.1x +10
y = (- 1.1/2.5)x + 4
Draw this function. It's descending (m negative). All values on the left of the lines satisfy this inequality
Answer:
Step-by-step explanation:
hope this helps
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