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soldi70 [24.7K]
2 years ago
12

A side of a regular six - sided polygon is 8cm long. The perimeter of a similar polygon is 60cm. What is the length of a side of

the larger polygon?​
Mathematics
1 answer:
Lerok [7]2 years ago
4 0

Answer:

  10 cm

Step-by-step explanation:

The larger polygon is also a regular 6-sided polygon, so each side is 1/6 of the perimeter length:

  (60 cm)/6 = 10 cm . . . length of a side

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A print shop manager is using the scale drawing shown below to make a rectangular banner the scale from the banner to the drawin
kotykmax [81]

Step-by-step explanation:

The question did not specify what to solve, but from the given the information, we can proceed to solve the actual dimension of the banner, and the dimension will be in feet.

the scale is given as

2ft to 1 in

And the given dimension is

3.5 in and 7.25 in

3.5 inches in actual size is   3.5*2= 7feet

7.25 inches in actual size is 7.25*2= 14.5 feet

The area of the banner can be calculated as

Area=7*14.5

Area=101.5 ft^2

7 0
2 years ago
In recent years the mean number of miles driven per year by residents of a particular state was 11,568. A researcher wishes to t
disa [49]

Answer:

516

Step-by-step explanation:

You should check the 561 with 6591

6 0
2 years ago
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The​ life, in​ years, of a certain type of electrical switch has an exponential distribution with an average life β=44. If 100 o
Bond [772]

Answer:

0.9999

Step-by-step explanation:

Let X be the random variable that measures the time that a switch will survive.

If X has an exponential distribution with an average life β=44, then the probability that a switch will survive less than n years is given by

\bf P(X

So, the probability that a switch fails in the first year is

\bf P(X

Now we have 100 of these switches installed in different systems, and let Y be the random variable that measures the the probability that exactly k switches will fail in the first year.

Y can be modeled with a binomial distribution where the probability of “success” (failure of a switch) equals 0.0225 and  

\bf P(Y=k)=\binom{100}{k}(0.02247)^k(1-0.02247)^{100-k}

where  

\bf \binom{100}{k} equals combinations of 100 taken k at a time.

The probability that at most 15 fail during the first year is

\bf \sum_{k=0}^{15}\binom{100}{k}(0.02247)^k(1-0.02247)^{100-k}=0.9999

3 0
2 years ago
Which situation can be modeled by the inequality 50−12x≥8?
Nadya [2.5K]

4⅚ ≥ x; subtract fifty-eight from both sides, divide by -12 from both sides, and you will have your answer.

NOTE: This is where you reverse your inequality symbol [dividing or multiplying by a negative].

7 0
2 years ago
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A single carton of juice costs $4.20. A special offer pack of 3 cartons costs $9.45. Ali bought a special offer pack instead of
fgiga [73]

1 cartons of juice = $4.20

3 single cartons = 4.20 * 3 =  $12.60

1 pack = $9.45

He saved 12.60 - 9.45 = $3.15

So, he saved $3.15, compared to the total ($12.60)

To calculate the percentage, we will do a proportion:

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To calculate x, we will moltiplicate the ends (where we have known numbers) than divide all per 12.6

So

x = (3.15 * 100) / 12.60 = 315 / 12.6 = 25

So the percentage saving is 25%

6 0
2 years ago
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