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shepuryov [24]
4 years ago
6

What is the area of the hexagon? O 60 O 68 O 120 O 106

Mathematics
1 answer:
Harlamova29_29 [7]4 years ago
4 0

The hexagon is made up of two trapezoids, each having the following dimensions:

a=12\text{ m}\\b=5\text{ m}\\h=4\text{ m}

So, its total area is the sum of the areas of those two trapezoids.

A_h=2A_t=2\cdot\dfrac{1}{2}(a+b)h=(a+b)h\\A_h=(12+5)\cdot 4=68\text{ m}^2

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Brenda has a job offers at two companies. One company offers a starting salary of $75,000 with a raise of $2,500 each year. The
Sedbober [7]

For this case, the first thing we must do is define variables.

We have then:

x: number of years

y: total salary

For company 1 we have:

y = 2500x + 75000

For company 2 we have:

y = 5000x + 55000

By the time both salaries are equal we have:

2500x + 75000 = 5000x + 55000

From here, we clear the value of x.

We have then:

5000x - 2500x = 75000 - 55000\\2500x = 20000

x = \frac{20000}{2500}\\x = 8

Answer:

Brenda's salary would be the same with both companies in 8 years.

4 0
3 years ago
3 (-8 + 7x) = -171<br><br> Help plz..And No links!! I repeat No links!!
melisa1 [442]

Answer:

The answer to your question will be

<h2>-7</h2>

Step-by-step explanation:

If you would like the steps, I will provide them as requested.

7 0
3 years ago
The number of permutations of n elements taken r at a time is given by the formula ________.
kondor19780726 [428]

Answer:

P(n,r) = \dfrac{n!}{(n-r)!}

Step-by-step explanation:

We have to fill the blank.

The number of permutations of n elements taken r at a time is given by the formula:

P(n,r) =^nP_r = \dfrac{n!}{(n-r)!}

Permutation is an arrangement of subsets of a larger set in regard with order of the arrangement.

where n is the the larger set and we have to choose r items from n such that there is no repetition.

In permutation, order is important.

8 0
4 years ago
4. Find the value of x.
Lilit [14]
X=37

360-138= 222/6=37
8 0
3 years ago
Read 2 more answers
The length of a rectangle is 3 m longer than its width.
Veseljchak [2.6K]

Step-by-step explanation:

With this question ,

The length of the rectangle is 3m longer than it's width=3 +w

then the width =w

therefore perimeter= 2L +2w

34= 2(3+w) +2w

34= 6+2w +2w

34-6 = 4w

28=4w

7= w

Area= Length x breadth

Area = (7+3) x7

Area= 10 x7

Area= 70cm square

5 0
2 years ago
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