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Zinaida [17]
3 years ago
8

What is the area of the regular polygon

Mathematics
2 answers:
fgiga [73]3 years ago
7 0
To find the area<span> of a</span>regular polygon<span>, you use an apothem — a segment that joins the </span>polygon's<span> center to the midpoint of any side and that is perpendicular to that side</span>
dalvyx [7]3 years ago
3 0
A regular polygon<span> is equilateral (it has equal sides) and equiangular (it has equal angles). To find the </span>area<span> of a regular </span>polygon<span>, you use an apothem — a segment that joins the </span>polygon's<span> center to the midpoint of any side and that is perpendicular to that side (segment HM in the following figure is an apothem).</span>
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Evaluate f(x) = sqrt(5x + 4) for x = 12
Nezavi [6.7K]

Answer is 8

Work Shown:

f(x) = sqrt(5*x + 4)

f(12) = sqrt(5*12 + 4) ... replace every x with 12

f(12) = sqrt(60 + 4)

f(12) = sqrt( 64 )

f(12) = 8

8 0
3 years ago
Mara carried water bottles to the field to share with her team at halftime. The water bottles weighed a total of 60x2 + 48x + 24
ludmilkaskok [199]

For this case we have the following polynomial:

60x ^ 2 + 48x + 24

What we must do for this case is to factor the polynomial, so that we have:

1) The number of bottles

2) the weight of each bottle.

We have then:

12 (5x ^ 2 + 4x + 2)

Answer:

A factorization that could represent the number of water bottles and weight of each water bottle is:

12 (5x ^ 2 + 4x + 2)

5 0
3 years ago
Read 2 more answers
3. FACTOR f(x) = x3 + 2x2 – 51x + 108 completely given x + 9 is a factor.
Pavlova-9 [17]

Answer:(x+9)(x-4)(x-3)

6 0
3 years ago
Which piecewise function is shown in the graph?
mash [69]

Based on the characteristics of <em>linear</em> and <em>piecewise</em> functions, the <em>piecewise</em> function f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right. is shown in the graph attached herein. (Correct choice: A)

<h3>How to determine a piecewise function</h3>

In this question we have a graph formed by two different <em>linear</em> functions. <em>Linear</em> functions are polynomials with grade 1 and which are described by the following formula:

y = m · x + b     (1)

Where:

  • x - Independent variable.
  • y - Dependent variable.
  • m - Slope
  • b - Intercept

By direct observation and by applying (1) we have the following <em>piecewise</em> function:

f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right.

Based on the characteristics of <em>linear</em> and <em>piecewise</em> functions, the <em>piecewise</em> function f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right. is shown in the graph attached herein. (Correct choice: A)

To learn more on piecewise functions: brainly.com/question/12561612

#SPJ1

3 0
2 years ago
If 240 students are surveyed, how many students will not prefer math or language arts?
Zinaida [17]
C. 96 students will not prefer math or language arts
5 0
3 years ago
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