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irina1246 [14]
3 years ago
12

6. A surveyor walks the perimeter of a piece of government land. He notes that the area of the land

Mathematics
1 answer:
Vlada [557]3 years ago
8 0

Answer:

A) l = w + 900

B) l * w = 4,000,000

B) l = 4,000,000 / w putting this into A)

A) 4,000,000 / w = w + 900

A) 4,000,000 = w^2 +900 w

A) w^2 +900 w - 4,000,000

Solving by quadratic formula

width = 1,600 length = 2,500

Double-Check

1,600 * 2,500 = 4,000,000

Length = width + 900

2,500 = 1,600 + 900

Answer is okay

Step-by-step explanation:

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13 is the answer.

Step-by-step explanation:

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Find four numbers that form a geometric progression such that the third term is greater than the first by 12 and the fourth is g
olchik [2.2K]

If x is the first number in the progression, and r is the common ratio between consecutive terms, then the first four terms in the progression are

\{x,xr,xr^2,xr^3\}

We want to have

\begin{cases}xr^2-x=12\\xr^3-xr=36\end{cases}

In the second equation, we have

xr^3-xr=xr(r^2-1)=36

and in the first, we have

xr^2-x=x(r^2-1)=12

Substituting this into the second equation, we find

xr(r^2-1)=12r=36\implies r=3

So now we have

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Then the four numbers are

\left\{\dfrac32,\dfrac92,\dfrac{27}2,\dfrac{81}2\right\}

4 0
3 years ago
yuson must complete 30 hours of community service. she does 2 hours each day. which linear equation represents the hours yuson h
algol [13]

Answer:

30-2x

Step-by-step explanation:

yuson has to finish am total of 30 hours in community service

she does 2 hours each day

in x days, hour of service done=2x

after x days hours of service left=30-2x

therefore the linear equation representing the hours yuson has left after x days is:

30-2x

6 0
3 years ago
Malachi bought a new fishing rod. The regular price of the fishing rod was $125.99. Sales tax of 8% is applied(added) to the tot
madreJ [45]

Answer:

125.99/100 X 108 = 136.0692

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3 years ago
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