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Zielflug
6 days ago
5

The lengths of the sides of triangle PQR are consecutive even integers. The perimeter of triangle PQR is 42 cm. What is the leng

th of the longest side?
Mathematics
1 answer:
PIT_PIT [11.1K]6 days ago
6 0
Let the three consecutive even integers representing the sides of triangle PQR be defined as x, (x + 2), and (x + 4). Given that the perimeter of triangle PQR equals 42 cm.
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Eight identical slips of paper, each containing one number from one to eight, inclusive, are mixed up inside a bag. Subset A of
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Answer: The correct choice is (C) A = {1, 2, 3, 4, 5, 7, 8}.

Step-by-step explanation: We have eight identical slips of paper, each numbered from one to eight, which have been mixed inside a bag.

The sample space, S is as follows:

S = {1, 2, 3, 4, 5, 6, 7, 8}.

Subset A consists of the complement of the event where the number 6 is drawn.

Let 'B' denote the event of drawing the number 6.

Thus, B = {6}.

Since 'A' represents the complement of 'B', it will include all elements in the sample space 'S' that are not part of set 'B'.

Therefore,

A = B' = {1, 2, 3, 4, 5, 7, 8}

So, A = {1, 2, 3, 4, 5, 7, 8}.

Consequently, (C) is the correct choice.

7 0
1 month ago
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What is the relative frequency of the revenue earned by B&B Motors from sales of mini trucks compared to the total sales rev
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Answer: 0.46

Step-by-step explanation:

B&B Motors' mini trucks yield 0.59; all four companies combined yield 0.39; mini trucks yield 0.13. Hence, 0.59 - 0.13 equals 0.46.

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1 month ago
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When it hatches from its egg, the shell of certain crab is 1cm across. When fully grown the shell is approximately 10cm across.
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In each instance, when it sheds a shell, its size increases by a factor of 1 1/3. To determine the growth after the first molt, multiply 1 cm by 1 1/3 to get 1 1/3 cm. To find the next size, repeat the multiplication: 1 1/3 cm times 1 1/3 cm equals 16/9. This process will continue by multiplying by 1 1/3. We can express it mathematically as (initial size) * 1 1/3 *(number of shells) equals length or 1 cm * 1 1/3 * n equals L. Given that the final length is 10 cm, accordingly, 1 1/3 * n equals 10 cm, leading to n being 7.5 shells, which translates to either about 7 or 8 shells.
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17 days ago
A traffic engineer is counting the number of vehicles by type that turn into a residential area. The table below shows the resul
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D. 20.64% or C. 32.37.
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20 days ago
Mike is 5 years old and Randy is 8 years old. Select all proportional relationships that have the same ratio to that of Mike and
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Response:

Explanatory steps:

I am unsure as well. However, I can state that the first one is

Sarah is 40 years old and her mother is 64 years old.

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1 month ago
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