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3 years ago

A garden is 3 yards 12 inches wide and 8 yards long. Write the ratio of the width to the length as a fraction in simplest form.

Mathematics

1 answer:

Kruka [31]3 years ago

5 0

120/288 then you simplify that to 5/12.

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Find+the+positive+value+for+α+if+the+radius+of+the+circle+3x^2+3y-6αx+12y-3α=0+is+4

Alik [6]

Answer:

$\alpha=3$

Step-by-step explanation:

Equation of a Circle

A circle of radius r and centered on the point (h,k) can be expressed by the equation

$(x-h)^2+(y-k)^2=r^2$

We are given the equation of a circle as

$3x^2+3y^2-6\alpha x+12y-3\alpha=0$

Note we have corrected it by adding the square to the y. Simplify by 3

$x^2+y^2-2\alpha x+4y-\alpha=0$

Complete squares and rearrange:

$x^2-2\alpha x+y^2+4y=\alpha$

$x^2-2\alpha x+\alpha^2+y^2+4y+4=\alpha+\alpha^2+4$

$(x-\alpha)^2+(y+2)^2=r^2$

We can see that, if r=4, then

$\alpha+\alpha^2+4=16$

Or, equivalently

$\alpha^2+\alpha-12=0$

There are two solutions for $\alpha$ :

$\alpha=-4,\ \alpha=3$

Keeping the positive solution, as required:

$\boxed{\alpha=3}$

8 0

3 years ago

What is the coefficient on x in the product of (3x+2)(x+4)?

IceJOKER [234]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Which of the following equations is equivalent to 4[x + 2(3x – 7)] = 22x – 65?

pickupchik [31]

Answer:

X= -3/2

Step-by-step explanation:

6x/6=-9/6

6 0

3 years ago

Question 2. Which fraction is equivalent to 4%? A) 1/50 B) 2/25 C) 1/25

gtnhenbr [62]

It is C) 1/25
Hope this helps

7 0

3 years ago

An icecube is made of 5 fluid ounces of water. About how many millilters of water does it take to make to the icecube. Round my

Dafna11 [192]

It takes 147.87 milliliter to make ice cube

Solution:

Given that ice cube is made of 5 fluid ounces of water

To find: milliliters of water to make to the ice cube

So we have to convert 5 ounce to milliliter

Use the following conversion factor

1 ounce = 29.5735 milliliter

Therefore,

5 ounce = 5 x 29.5735 milliliter

5 ounce = 147.8675 milliliter

On rounding to nearest hundred ( 2 decimal places ) , we get

5 ounce = 147.87 milliliter

Thus it takes 147.87 milliliter to make ice cube

5 0

3 years ago