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Vsevolod [243]
3 years ago
8

A contractor is building a fenced-in area at a daycare. The area will be rectangular with the length of its base equal to half t

he length of the height. The total area will be 5000 square feet. Determine the length of fencing the contractor will use
Mathematics
1 answer:
AlladinOne [14]3 years ago
6 0

Answer:

The length of fencing will be 300\ ft

Step-by-step explanation:

Step 1

Find the dimensions of the rectangle

we know that

The area of a rectangle is equal to

A=bh

In this problem we have

A=5,000\ ft^{2}

so

5,000=bh -----> equation A

b=\frac{h}{2} -----> equation B

Substitute equation B in equation A

5,000=(\frac{h}{2})h

10,000=h^{2}

square root both sides

h=100\ ft

Find the value of b

b=\frac{h}{2} -----> b=\frac{100}{2}=50\ ft

step 2

Find the length of fencing

The perimeter of a rectangle is equal to

P=2(b+h)

we have

h=100\ ft

b=50\ ft

substitute

P=2(50+100)=300\ ft

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Step-by-step explanation:

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three odd numbers, and three even numbers. Therefore, the chance of it landing on an odd number or even number is 3/6, which equals 1/2. <em>That means you have a 50% chance to get an odd number, or an even number.</em>

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So, you have two die. Both have a 50/50 chance of getting an even or odd number. So what's the chance of one landing on an odd number, and the other landing on an even number?

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25% as a simplified fraction is 1/4. Therefore, 1/4 is your answer.

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2 years ago
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Answer:

Answers provided below

Step-by-step explanation:

From the simultaneous linear equation, we have the coefficient matrix as;

(3 4 5)

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(5 -2 7)

The x-matrix is Dx is given by;

(18 4 5)

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Similarly, the y-matrix Dy is given by;

(3 18 5)

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Also,the z-matrix Dz is given by;

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Determinant of the coefficient matrix from online determinant calculator is;

D = 136

Determinant of the x-matrix from online determinant calculator is; Dx = 92

Determinant of the y-matrix from online determinant calculator is; Dy = 696

Determinant of the z-matrix from online determinant calculator is; Dz = 576

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picture wont load

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