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azamat
3 years ago
15

The length of a rectangular garden is 9 feet longer than its width. If the garden’s perimeter is 182 feet, what is the area of t

he garden in square feet? (please show all work)
Mathematics
1 answer:
Ivanshal [37]3 years ago
8 0

Answer:

1660.75 square feet

Step-by-step explanation.

Width=<em>x</em>

Length =<em>x</em>+9

(<em>(</em><em>x</em><em>)</em><em>+</em><em>(</em><em>x</em><em>+</em><em>9</em><em>)</em>)×2=182 feet

(2x+9)×2=182

18+4x=164

x=36.5

Width=36.5 feet

Length=45.5 feet

Area=36.5×45.5

=1660.75 square feet

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Solve. 5 &lt; x – 2 &lt; 11
lions [1.4K]
The answer is 7 < x < 13.

5 < x - 2 < 11
Add 2 in all sections:
5 + 2 < x - 2 + 2 < 11 + 2
7 < x < 13
3 0
3 years ago
Write a polynomial function of least degree with integral coefficients that has the
frutty [35]

A polynomial function of least degree with integral coefficients that has the

given zeros  f(x)=x^4+x^3+9x^2+9x

Given

Given zeros are 3i, -1  and 0

complex zeros occurs in pairs. 3i is one of the zero

-3i is the other zero

So zeros are 3i, -3i, 0 and -1

Now we write the zeros in factor form

If 'a' is a zero then (x-a) is a factor

the factor form of given zeros

\:\left(x-3i\right)\left(x-\left(-3i\right)\right)\left(x-0\right)\left(x-\left(-1\right)\right)\\\left(x-3i\right)\left(x+3i\right)\left(x-0\right)\left(x+1\right)

Now we multiply it to get the polynomial

x\left(x-3i\right)\left(x+3i\right)\left(x+1\right)\\x\left(x^2+9\right)\left(x+1\right)\\x\left(x^3+x^2+9x+9\right)\\x^4+x^3+9x^2+9x

polynomial function of least degree with integral coefficients that has the

given zeros  f(x)=x^4+x^3+9x^2+9x

Learn more : brainly.com/question/7619478

6 0
3 years ago
Suppose that a class contains 15 boys and 30 girls, and that 10 students are to be selected at random for a special assignment.
natka813 [3]
Prob of selected students times prob of selecting boys times prob of selecting 3 boys
total students = 15b + 30g = 45 students

1. 10s/45t = 0.22
2. 15b/45t = 0.33
3. 3b/15b = 0.2

0.22×0.33×0.2=0.0148

1.48%

I'm not sure 100%... double check answer please
3 0
3 years ago
Find x and y plz help :(
liraira [26]

Answer:

D. x = 5.4, y = 6.67

Step-by-step explanation:

The triangles are similar as per problem description, so the ratios match:

y/5 = 4/3

x/3 = 9/5

let's solve:

y/5 = 4/3

3y/5 = 4

3y = 20

y = 6.(6)

x/3 = 9/5

5x/3 = 9

5x = 27

x = 5.4

5 0
2 years ago
Read 2 more answers
1/8 (8x-5)=1/6-7/6 what is the answer for X?
evablogger [386]
X=-\frac{3}{8} or -0.375
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3 years ago
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