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Aleks [24]
3 years ago
12

A carpenter is making a backyard deck. In the measurements, he has determined that he needs to make a support triangle with an a

rea 46m2. He knows that the base must be 1 less than 2 times the height. If the base is represented by 2x-1 and height equals x. Find the equation that correctly shows the area of the triangle.

Mathematics
1 answer:
s2008m [1.1K]3 years ago
3 0

Answer:

base = 3x - 1

height = x

area of triangle = (1/2)bh

22 = (1/2)(3x-1)(x)

44 = (3x-1)(x)

44 = 3x^2-x

0 = 3x^2-x-44

0 = 3x^2-12x+11x-44

0 = (3x^2-12x)+(11x-44)

0 = 3x(x-4)+11(x-4)

0 = (x-4)(3x+11)

x = {-11/3, 4}

throw out the negative solution (extraneous) leaving

x = 4 m (height)

.

Base:

3x - 1 = 3(4) - 1 = 12 - 1 = 11 

Step-by-step explanation:

I hope it will help you

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Answer:

B

Step-by-step explanation:

3% = 3/100

So we can eliminate the first answer.

The proportions have to match each other so the number nine should be above and thus the x has only the option of being under it.

As a result, we eliminate the third answer and remain with one reasonable answer

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3 years ago
G (r) = 25 – 3r<br> g(4) =
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Answer:

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8 0
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5. A basketball player averages 10.2 points per
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Answer:  11.15

Step-by-step explanation:

10.2 + 12.1 = 22.3 is the total amount of points averaged each game together

22.3 divided by 2 + 11.15

11.15 is the average of the two players over the 10 games

4 0
3 years ago
Determine if the following functions are inverses of each other:
Alenkasestr [34]

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Step-by-step explanation:

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What is the predicted difference in sleep between individuals A and B, where individual A has 12 years of education and works 20
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Answer: The predicted difference in sleep is 1251437 minutes.

Step-by-step explanation:

Since we have given that

Number of years of education = 12 years

Number of minutes a week = 2000

As we have

In case of individual A:

7 days = 2000 minutes

1 year = 365 days = \dfrac{2000}{7}\times 365=104285

12 years = 104285\times 12=1251420\ minutes

In case of individual B:

7 days = 3000 minutes

1 year = 365 days = \dfrac{3000}{7}\times 365=156428

16 years = 156428\times 16=2502857 minutes

So, the predicted difference in sleep between individuals A and B is given by

2502857-1251420\\\\=1251437\ minutes

Hence, the predicted difference in sleep is 1251437 minutes.

7 0
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