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Ksivusya [100]
3 years ago
9

Mark wants to fence 4 rectangular gardens, each with a length of 9 1/4 feet and a width of 4 1/2 feet. What is the total length

of fencing Mark needs to surround all 4 gardens? Mark needs ------------ feet of fencing.
Mathematics
1 answer:
juin [17]3 years ago
5 0

Answer:

110 feet

Step-by-step explanation:

Given that,

Length of the rectangular garden = 9 1/4 feet = 37/4 feet

Width of the rectangular garden = 4 1/2 feet = 9/4 feet

We need to find the total length of fencing Mark needs to surround all 4 gardens.

The length for 1 garden = perimeter of the garden

The length for 4 garden = 4×perimeter of the garden

= 4×2(l+b)

=8(l+b)\\\\=8(\dfrac{37}{4}+\dfrac{9}{2})\\\\=8\times 13.75\\\\=110\ \text{feet}

Hence, 110 feet is the total length of the fencing Mark needs to surround all 4 gardens.

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Answer:

f(-2) = -15

Step-by-step explanation:

f(x) = 5x-5

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f(-2) = 5(-2) -5

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the first row the theater has 15 seats in it each subsequent row has 3 more seats that seats that the previous ow . if the last
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Integrate 1 - x / x(x2 + 1) d x by partial fractions.
solniwko [45]

Answer:

log x-\frac{log(x^{2}+1) }{2}-tan^{-1} x

Step-by-step explanation:

step 1:-   by using partial fractions

[tex]\frac{1-x}{x(x^{2}+1) } =\frac{A(x^{2}+1)+(Bx+C)(x }{x(x^{2}+1) }......(1)

<u>step 2:-</u>

solving on both sides

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substitute x =0 value in equation (2)

1=A(1)+0

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0 = A+B

0 = 1+B

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comparing x co-efficient on both sides (in equation 2)

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<u>step 3:-</u>

substitute A,B,C values in equation (1)

now  

\\\int\limits^ {} \, \frac{1-x}{x(x^{2}+1) } d x =\int\limits^ {} \frac{1}{x} d x +\int\limits^ {} \frac{-x}{x^{2}+1 }  d x -\int\limits \frac{1}{x^{2}+1 }  d x

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<u>step 4:-</u>

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log x-\frac{log(x^{2}+1) }{2}-tan^{-1} x

6 0
3 years ago
A company has a budget of $280,000 for computing equipment. Tablets cost $500 each, laptops cost $2000 each, and servers cost $5
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Answer:

The number of tablets  200

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Let the number of tablets be 'x'

the number of laptops be 'y'

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According to the given question

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also,

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y = 2z  

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substituting y from 2 and 3 in equation 1,  we get

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hence,

the number of tablets  200

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7 0
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