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3 years ago

The park shown is in the shape of a square. Is the perimeter rational or irrational? Area = 24,200 yd 2

Mathematics

1 answer:

dangina [55]3 years ago

3 0

Answer:

irrational

Step-by-step explanation:

A = s^2

s^2 = 24,200

$s = \sqrt{24200}$

$s = \sqrt{242 \times 100}$

$s = \sqrt{100 \times 121 \times 2}$

$s = 10 \times 11\sqrt{2}$

$s = 110\sqrt{2}$

P = 4s

$P = 4 \times 100 \sqrt{2}$

$P = 440 \sqrt{2}$

The perimeter is irrational.

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Answer:

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C = 100, the initial population

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a) thus, b(t) = 100 e^(t ln 4.2)

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Step-by-step explanation:

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2 years ago

A tire at the top of a hill starts rolling down the hill. If the diameter of the tire is 36 inches, how many inches has the tire

vredina [299]

The answer would be 360pi.

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3 years ago

Read 2 more answers

Which system of equations can be used to solve for the point of intersection of the lines on the graph? A) y = x - 7; y = 2x + 2

ratelena [41]

Answer:

C) y = 2x + 7; y = 2x + 2

Step-by-step explanation:

The two lines are parallel and so will have the same slope.

From the graph, the slope of both lines are two.

Using slope intercept formula, y=mx+c, with m=2, we have y=2x+c

The blue line has a y-intercept of 2 so the equation is

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The red line has a y-intercept of -7 so the equation is

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Hence the system is

y=2x+2

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The correct answer is C

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3 years ago

Derive the equation of the parabola with a focus at (6, 2) and a directrix of y = 1

geniusboy [140]

Answer:

Step-by-step explanation:

eq. of directrix is y-1=0

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then\sqrt{ (x-6)^2+(y-2)^2}=\frac{y-1}{(-1)*2}

squaring

x²-12x+36+y²-4y+4=y²-2y+1

x²-12 x+40-1=4y-2y

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2 years ago

Solve for x: 6x + 1 over 4 (4x + 8) > 12

sukhopar [10]

Answer:

A. $x>\frac{10}{7}$ .

Step-by-step explanation:

We have been given an inequality $6x+\frac{1}{4}(4x+8)>12$ . We are asked to solve the given inequality for x.

Using distributive property, we will get:

$6x+\frac{1}{4}*4x+\frac{1}{4}*8>12$

$6x+x+2>12$

$7x+2>12$

Subtract 2 from both sides:

$7x+2-2>12-2$

$7x>10$

Divide both sides by 7:

$\frac{7x}{7}>\frac{10}{7}$

$x>\frac{10}{7}$

Therefore, option A is the correct choice.

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2 years ago