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4 years ago

Find the area of the regular polygon below and round your answer to the nearest hundredth.

Mathematics

1 answer:

djyliett [7]4 years ago

3 0

The central angle of each sector is 360°/8 = 45°, so the central angle between a vertex and the apothem is half that, 22.5°. The length of half a side will be
s/2 = (2 ft)*tan(22.5°) ≈ 0.828427 ft
The area of each of the 8 sectors will be this multiplied by the apothem (2 ft), so is 1.6568 ft². The total area of the 8 sectors is then
8*1.6568 ft² ≈ 13.25 ft²

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An experiment consists of tossing a die and then flipping a coin once if the number on the die is even. If the number on the die

Mice21 [21]

Answer:

$\Omega = \{ 1HH, 1HT, 1TH, 1TT, 2H, 2T, 3HH, 3HT, 3TH, 3TT, 4H, 4T,\\5HH , 5HT, 5TH, 5TT, 6H, 6T \}$

The probability is 3/12. The third option is correct.

Step-by-step explanation:

The sample space is

$\Omega = \{ 1HH, 1HT, 1TH, 1TT, 2H, 2T, 3HH, 3HT, 3TH, 3TT, 4H, 4T,\\5HH , 5HT, 5TH, 5TT, 6H, 6T \}$

Note that this sample space is not equally probable.

The probability of getting a given number followed is the probability of getting an even number from the 6 numbers (3/6) multiplied by the probability of getting a head after getting that even number, that is 1/2, because is equally probable to get heads or tails from one single coin toss (note that we are assuming that the dice was even, thats why there is a single coin toss).

Therefore, the probability of getting an even number and a head is

P( D in {2,4,6} , H = 1) = P(D in {2,4,6}) * P(H=1 | D in {2,4,6}) = 3/6 * 1/2 = 3/12.

5 0

3 years ago

Highest common factor of 150 and 135

Nikolay [14]

15 because 150 divided by 15 is 10 and 135 divided by 9 is 15 and im 99% sure that's right because I couldn't think of anything higher

6 0

3 years ago

One species makes up 40% of the apes in the zoo. Which species is it?

Zinaida [17]

Answer:

The chimpanzee of course

Step-by-step explanation:

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6 0

3 years ago

Read 2 more answers

Some of Mrs. Turay’s eighth graders took the PSAT test. Score totals of ten of her students are below. Calculate the mean and th

den301095 [7]

Answer:

(a) Mean=74

(b) Median=70

Step-by-step explanation:

We have been given a data set of PSAT scores of Mrs. Turay's eight graders. We are asked to find mean and median of the given data set.

(a) Let us find mean of data set by dividing the sum of given scores by the number of students.

$\text{Mean}=\frac{60+62+67+69+70+70+71+75+76+120}{10}$

$\text{Mean}=\frac{740}{10}=74$

Therefore, the mean test score will be 74.

(b) Now let us find median of our given data set. We have been given that number of students is 10, therefore, our median will be the average of 5th and 6th term.

60, 62, 67, 69, 70, 70, 71, 75, 76, 120.

We can see that 5th term is 70 and 6th term is 70 as well.

$\text{Median}=\frac{70+70}{2}$

$\text{Median}=\frac{140}{2}$

$\text{Median}=70$

Therefore, the median test scores will be 70.

(c) We can see that our data set has an outlier score as 120, which has increased the mean. Mean score is greater than median score. Since median is not affected by extreme value outliers, therefore, median will be the best measure of center for given test scores.

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4 years ago

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Does the following relationship represent a function?

Tomtit [17]

Answer:

yes

Step-by-step explanation:

the output can have more than one input

the input cannot have more than one output

I hope this helps!!

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3 years ago

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