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3 years ago

HELP PICTURE IS SJOWN

Mathematics

1 answer:

jek_recluse [69]3 years ago

3 0

Letter B is the answer

Number of sides (n) = 8
Apothem (a) = 18.11 units
Side (s) = 15 units

Area of Octagon = (1/2)n*a*s
A of O= (1/2)*8*18.11*15
A of O= 1086.6 units^2

Area of Square = s^2
A of S = 15^2
A of S = 225 units^2

Area of Shaded Region = A of O - A of S
A of S.R. = 1086.6 units^2 - 225 units^2
A of S.R. = 861.6 units^2
A of S.R. = 862 units^2

LETTER B

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If two standard six-sided dice are tossed, what is the probability that a 5 is rolled on at least one of the two dice? express y

zaharov [31]

We define the probability of a particular event occurring as:
$\frac{number\ of \ desired\ outcomes}{number\ of\ possible\ outcomes}$

What are the total number of possible outcomes for the rolling of two dice? The rolls - though performed at the same time - are independent, which means one roll has no effect on the other. There are six possible outcomes for the first die, and for each of those, there are six possible outcomes for the second, for a total of 6 x 6 = 36 possible rolls.

Now that we've found the number of possible outcomes, we need to find the number of desired outcomes. What are our desired outcomes in this problem? They are asking for all outcomes where there is at least one 5 rolled. It turns out, there are only 3:

(1) D1 - 5, D2 - Anything else, (2), D1 - Anything else, D2 - 5, and (3) D1 - 5, D2 - 5

So, we have $\frac{3}{36} = \frac{1}{12}$ probability of rolling at least one 5.

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3 years ago

Using (x + a) (x + b) = x² + (a + b) x + ab, evaluate 75 x 77

Gre4nikov [31]

(x + a) (x + b) = x² + (a + b) x + ab

75 * 77=

=(70+5)(70+7)

=70²+(5+7)*70+5*7

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4 0

3 years ago

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frutty [35]

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3 years ago

Read 2 more answers

From 1960 to 2010, a certain money stock measure was growing at the rate of approximately 43e(1/2)x billion dollars per decade,

natulia [17]

Answer:

1222 billion dollars.

Step-by-step explanation:

To find the total increase from 1960 to 2010, we need to find the growth of each decade and sum them all:

In the period 1960-1970, we have x = 1, and the growth is:

$y(1) = 43e(1/2) = 70.895$

In the period 1970-1980, we have x = 2, and the growth is:

$y(2) = 43e(2/2) = 116.8861$

The growth in the following 3 periods are:

$y(3) = 43e(3/2) =192.7126$

$y(4) = 43e(4/2) = 317.7294$

$y(5) = 43e(5/2) =523.8472$

So the total growth in the period 1960 - 2010 is:

$Total = y(1) + y(2) + y(3) + y(4) + y(5)$

$Total = 70.895 + 116.8861+192.726+317.7294+523.8472$

$Total = 1222.08\ billion\ dollars$

Rounding to the nearest billion dollars, we have a total of 1222 billion dollars.

6 0

3 years ago

A restaurant owner made a list of the number of meals ordered last night. She found that 42 people ordered chicken Parmesan, 39

jasenka [17]

Answer:

29/110

Step-by-step explanation:

There are a total of 110 orders at the restaurant, so that will serve as the denominator. There are 29 meatballs, so that will be the numerator. Combine the two and you get 29/110. Experimental probability is what happens in the experiment like this question. Theoretical probability is "real math" as in 1/3.

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4 years ago