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3 years ago

Two straight edges of a pizza slice meet at an angle of 30°. If the pizza has a radius of 12

Mathematics

1 answer:

melisa1 [442]3 years ago

8 0

Answer:

<h3>area of the slice: A = 12π in² ≈ 37.7 in² </h3><h3>lenght of its crust: L = 24π in ≈ 6.28 in</h3>

Step-by-step explanation:

R = 12 in

360°:30° = 12

so the area of the slice is ¹/₁₂ of whole pizza

A = ¹/₁₂•πR² = ¹/₁₂•π•12•12 = 12π in² ≈ 37.7 in²

Crust is the perimeter of pizza so crust of the slice is ¹/₁₂ of the perimeter:

L = ¹/₁₂•2πR = ¹/₁₂•2π•12 = 2π in ≈ 6.28 in

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Answer:

You would need 10 1/2 hours to set up 7 workstations.

Step-by-step explanation:

Multiply the amount of workstations by the rate at which they are set up.

$7 * 1.5 = 10.5$

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4 years ago

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Answer:

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3 years ago

Let f (x)=1/x and g (x)=x^2+5x. A. Find (f×g)(x). B. Find the domain and range of (f×g)(x).

Ira Lisetskai [31]

we are given

$f(x)=\frac{1}{x}$

$g(x)=x^2+5x$

(A)

(f×g)(x)=f(x)*g(x)

now, we can plug it

$(fXg)(x)=\frac{1}{x} (x^2+5x)$

we can simplify it

$(fXg)(x)=\frac{1}{x} (x(x+5))$

$(fXg)(x)=x+5$

(B)

Domain:

Firstly, we will find domain of f(x) , g(x) and (fxg)(x)

and then we can find common domain

Domain of f(x):

$f(x)=\frac{1}{x}$

we know that f(x) is undefined at x=0

so, domain will be

$(-\infty,0)$ ∪ $(0,\infty)$

Domain of g(x):

$g(x)=x^2+5x$

Since, it is polynomial

so, it is defined for all real values of x

now, we can find common domain

so, domain will be

$(-\infty,0)$ ∪ $(0,\infty)$ ..............Answer

Range:

Firstly, we will find range of f(x) , g(x) and (fxg)(x)

and then we can find common range

Range of f(x):

$f(x)=\frac{1}{x}$

we know that range is all possible values of y for which x is defined

since, horizontal asymptote will be at y=0

so, range is

$(-\infty,0)$ ∪ $(0,\infty)$

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$g(x)=x^2+5x$

Since, it is quadratic equation

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$[-6.25,\infty)$

now, we can find common range

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3 years ago

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KengaRu [80]

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3 years ago

What is the explicit rule for the arithmetic sequence? 20.5, 16, 11.5, 7, 2.5, ...

Naily [24]

Answer:

To determine the explicit rule for the arithmetic sequence of 20.5, 16, 11.5, 7, 2.5, ..., the following logical reasoning must be performed:

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7 - 2.5 = 4.5

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3 years ago