Community Theater Owner A community theater currently sells 200 season tickets at $50 each.

Mathematics

1 answer:

coldgirl [10]3 years ago

4 0

Answer:

200(50) is for the original revenue, and (200 - 10(50 + 5)) is if they increase it once.

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List x1, x2, x3, x4 where xi is the midpoint endpoint of the five equal intervals used to estimate the area under the curve of f

Amanda [17]

Answer:

$\bf x_1 = 2\\x_2 = 4\\x_3=6\\x_4=8$

Step-by-step explanation:

The given interval : x = 0 to x = 10

Length of interval = 10 - 0

= 10

$\text{Now, each }x_i \text{ is midpoint and endpoint of the five equal intervals}$

⇒ Number of equal intervals = 5

$\textbf{Length of each interval = }\frac{10}{5}$

$\textbf{Therefore, }\bf x_1 = 0 + 2 = 2\\x_2 = 2 +2 =4\\x_3=4+2=6\\x_4=6+2=8$

3 0

3 years ago

An experiment consists of drawing 1 card from a standard 52-card deck. What is the probability of drawing a black 6?

Mrac [35]

1/26

In a standard pack of 52 playing cards there are 2 black 6 's

The 6 of spades and the 6 of clubs

Probability = number of favourable outcomes / number of possible outcomes

P( black 6 ) =2/52 = 1/26 in simplest form

3 0

3 years ago

What is the area of the composite figure? (6π 4) cm2 (6π 16) cm2 (12π 4) cm2 (12π 16) cm2

raketka [301]

The area of the considered composite figure is given by: Option: 6π + 16 cm²

<h3>How to calculate the surface area of a composite figure?</h3>

Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.

When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.

Thus, we have:

$\text{Area of composite figure} = \sum (\text{Area of composing figures})$

That ∑ sign shows "sum"

For this case, the missing image is attached below.

As visible, the area of the figure = Sum of area of those 3 semi circles + Area of that square(its square because it has 4 equal sides in which adjacent sides are perpendicular) in between.

The side of the square is of 2+2=4 cm( as half of its side is 2 cm), thus, Area of that square = 4² = 16 cm²

All those 3 semicircles has radius = 2 cm

Since radius is same, so area of those 3 semicircle is same = $\dfrac{\pi r^2}{2} = \dfrac{\pi (2)^2}{2} = 2 \pi\: \rm cm^2$