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Elena L [17]
3 years ago
6

Find the dimensions of a rectangle whose perimeter is 46m and whose are is 126m^2. Let the width be w. Use the perimeter to find

the length in terms of w.
Mathematics
1 answer:
77julia77 [94]3 years ago
6 0

Answer:

9 and 14

Step-by-step explanation:

We know that the perimeter is equal to:

P = 2l + 2w = 46

If we divide by 2, we are left with:

l + w = 23

I = 23 - w

Now the area is equal to:

A = l * w = 126

l * w = 126

Now replacing it, we are left with:

(23 - w) * (w) = 126

(-w ^ 2) + 23 * w = 126

Rearranging:

w ^ 2 + -23 * w + 126 = 0

We factor and we have:

(w - 9) * (w - 14) = 0

w - 9 = 0 => w = 9

w - 14 = 0 => 2 = 14

If w = 9, l = 23 - 9 = 14

If w = 14, l = 23-14 = 9

So the dimensions are 9 and 14.

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What is the distance between 15/16 and 3 1/16?
VashaNatasha [74]

Answer:

18 is the deistance

Step-by-step explanation:

The answer is 18 because 3 times 16 is 33 and 33 minus 15 gives you the correct answer got of 18.

8 0
4 years ago
Estimate the annual wages for a clerk who works 50 weeks a year and earns $15 and hour
Pachacha [2.7K]

Let us assume that a person works for 8 hours a day.

Let us assume that the person works for 5 days a week.

Wage earned per hour = $15

So, wage earned in 8 hours = 15*8 = $120

Now, wage earned in 1 day = 120

So, wage earned in 5 days = 120*5 =$600

As the person works for 5 days in 1 week

So, in 50 weeks, he will work = 50*5 = 250 days

So, total number of hours he must have worked = 250*8 =2000 hours

Now, per hour wage = $15

wage in 2000 hours = 15*2000 = $30000

Hence, the estimated wage a person earns in 50 weeks = $30000



7 0
4 years ago
£150 is invested at 5% compound interest for 2 years. How much will be in the account at the end of the investment?
morpeh [17]

Answer:

165

Step-by-step explanation:

5% of 150 british pounds = 7.5 British pounds

2 years = 7.5 BS per year

7.5 + 7.5

= 15 british pounds

15 british pounds + 150 british pounds =

165 british pounds

7 0
2 years ago
(fg)-1(5)=g-1f-1(5)​
larisa86 [58]

Answer:

<em>f = g/ g+1</em>

Step-by-step explanation:

Remove Parenthesis.

<em>fg - 1  x 5  = g  - 1  x f  - 1 x 5</em>

Cancel <em>-1 x 5</em> on both sides.

<em>fg =  g - 1  x f</em>

Simplify <em>1 x f</em>  to f.

<em>fg =  g - f</em>

Add <em>f </em>to both sides.

<em>fg + f = g</em>

Factor out the common term <em>f.</em>

<em>f (g + 1)  = g</em>

Divide both sides by <em>g + 1</em>

<em>f =  g/ g + 1</em>

6 0
4 years ago
For the function F defined by F(x) = x^2 – 2x + 4, find F(| – 4|).
Morgarella [4.7K]

| - 4 | = 4

Thus :

f ( | - 4 | ) = f ( 4 )

f ( 4 ) = ( 4 )^2 - 2(4) + 4

f ( 4 ) = 16 - 8 + 4

f ( 4 ) = 16 + 4 - 8

f ( 4 ) = 20 - 8

f ( 4 ) = 12

7 0
3 years ago
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