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3 years ago

1. How many feet of fencing are needed to completely enclose a square plot of land with sides of length 8 feet?

Mathematics

1 answer:

max2010maxim [7]3 years ago

6 0

1. 28

2. 2 7/12 or approximately 2.58

3. I believe 580 but I could be wrong.

4. 213.75

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Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.

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3 years ago

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The denominator of a fraction is two more than the numerator. If both numerator and denominator are decreased by six, the simpli

ira [324]

Answer:

$\dfrac{40}{42}$

Step-by-step explanation:

Let the numerator of the fraction=x

Since the denominator of a fraction is two more than the numerator.

Denominator=x+2

The fraction is therefore:

$\dfrac{x}{x+2}$

If both numerator and denominator are decreased by six, the fraction becomes:

$\dfrac{x-6}{x+2-6}$

The simplified result is $\dfrac{17}{18}$

Therefore:

$\dfrac{x-6}{x+2-6}=\dfrac{17}{18}\\$Next, we solve for x\\Cross multiply\\18(x-6)=17(x+2-6)\\18(x-6)=17(x-4)\\Expand the bracket\\18x-108=17x-68\\Collect like terms\\18x-17x=-68+108\\x=40$

Substituting x=40 into the initial fraction

$\dfrac{x}{x+2}=\dfrac{40}{40+2}=\dfrac{40}{42}$

Therefore, the original fraction is $\dfrac{40}{42}$

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2 years ago

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PtichkaEL [24]

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2 years ago

Find the volume of a pyramid with a square base, where the side length of the base is

irina [24]

The volume of the pyramid is 167.6 cube inch (approx).

Step-by-step explanation:

Given,

Each length (l) of the base of the pyramid = 8.3 in

Height(h) of the pyramid = 7.3 in

To find the volume of the pyramid.

Formula

Volume of the pyramid = $\frac{1}{3}$ ×area of the base×height

Area of the base = l²

Now,

The volume of the pyramid = $\frac{1}{3}$ ×l²×h

= $\frac{1}{3}$ ×8.3²×7.3 cube inch = 167.6 cube inch (approx)

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3 years ago

In some country the budget for defense exceeded the budget for education by $660.4 billion. If x represents the budget for edu

photoshop1234 [79]

Answer:

The budget for defense can be represented as x + 660.4

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Budget for education is $ 660.4 billion less than budget for defense in some country

x = represents the budget for education, in billion of dollars

2. How can the budget for defense be represented?

x = represents the budget for education, in billion of dollars

x + 660.4 = represents the budget for defense, in billion of dollars also

The correct answer is that the budget for defense can be represented as x + 660.4

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2 years ago