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3 years ago

I need help with 2 more of the highlighted questions

Mathematics

1 answer:

Gennadij [26K]3 years ago

4 0

14. the length of the arc is found by using the formula 2*PI*r*angle/360
the circle has a radius of 2 and the known angle is 90 degrees
so you now have: 2 * pi * 2 * 90/360, since the answer needs to be in terms of PI, remove pi from the equation for now:
2*2 *90/*360 = 1
the arc length = 1PI, or just PI

16. the area of the parallelogram is L x W : 9 *6 = 54
the area of the circle is: PI *r^2 = pi * 3^2 = 28.26
area of shaded region is subtracting the area of the circle from the parallelogram: 54 - 28.26 = 25.74 square inches

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3 years ago

Can someone please simplify these fractions. <br><br> Simplify 18/42 <br> Simplify 15/40

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3 years ago

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Sabendo que o perímetro de um polígono é obtido através da soma de todas as medidas dos seus lados, assinale a expressão que rep

Grace [21]

Answer:

Perimeter = (4x + 12)

Step-by-step explanation:

As given in the question itself,

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By this property expression to calculate the perimeter of the given polygon will be,

Perimeter = x + x + x + 2 + 2 + (x + 4) + 2 + 2

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3 years ago

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3 years ago

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Given f(x) =

inysia [295]

The end behavior of the given function (range) is x< 4 or x > 4. So, f(x) < 4 or f(x) > 4. The solution in interval notation is $\mathbf{(-\infty, 4) \cup (4, \infty)}$ .

The last option is correct.

<h3>What is the range of the function?</h3>

The end behavior of the given function f(x) = (8x+1)/2x-9 wants us to identify the range of the given function.

The range is the set of values of the dependent variable for which a function is defined. The function range is the combined domain of the inverse function.

From the information given:

$\mathbf{f(x) = \dfrac{8x +1}{2x -9 }}$

Inverse of $\mathbf{\dfrac{8x +1}{2x -9 }}$ becomes $\mathbf{f(x) = \dfrac{1+9x}{2(-4+x) }}$

The domain of the inverse is x< 4 or x > 4. So, f(x) < 4 or f(x) > 4. Now, representing the solution in interval notation, we have:

$\mathbf{(-\infty, 4) \cup (4, \infty)}$

Learn more about the range of a given function here:

brainly.com/question/1466393

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2 years ago