a circle has a radius of 8 inches. What is the circumference in terms of pi?

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[tex]\sf 7n^{2} -6n+10=0\\\\x = \dfrac{-b~\±~\sqrt{b^{2} -4ac} }{2a} \\\\\\x = \dfrac{-(-6)~\±~\sqrt{(-6)^{2} -4~\times~7~\times~10} }{2~\times~7}\\\\\\x =\boxed{\dfrac{6\±\sqrt{-244} }{14} }[/tex]

The percentage of Melanie's walls that still needed to be painted is 55 % and the number of walls is 231 feet²

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Let the percentage of Melanie's walls that still needed to be painted be A

Now , the equation will be

The total number of walls = 420 feet²

The percentage of Melanie's walls that are painted = 45 %

So , the remaining percentage A = 100 - percentage of Melanie's walls that are painted

The percentage of Melanie's walls that still needed to be painted A = 55 %

And , the number of walls that needed to be painted = percentage of Melanie's walls that still needed to be painted A x total number of walls

On simplifying , we get

The area of walls that needed to be painted = ( 55/100 ) x 420

The area of walls that needed to be painted = 231 feet²

Hence , the area of Melanie's wall to be painted is 231 feet²

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Answer:

6

Step-by-step explanation:

You can see the answer above and I also did the lesson submitted it and got it right.

Answer:  40π square units

Step-by-step explanation:  since, lateral area of cylinder=2πrh

   where r=radius=4 and h=height=5

    ⇒   lateral area= 2π×4×5

                               = 40π square units

The question says :Mrs Henley built a cage for her bird .

The bottom of the cage Mrs Henley build has to be covered by a newspaper.

To cover the bottom by newspaper we need to find the area of bottom.

The formula to find the area of bottom is length x width.

The dimensions of the bottom is given as [tex] \frac{1}{4} and \frac{1}{2} yard. [/tex]

Area of bottom = [tex] \frac{1}{4} times \frac{1}{2} = \frac{1}{8} [/tex]

Answer: The area that needs to be covered is [tex] \frac{1}{8} [/tex] square yards.

Final answer:

To find out how many 3/7 foot pieces can be made from 7/2 feet of rope, divide the total rope length by the length of one piece, resulting in 8 whole pieces with a small amount left over.

Explanation:

The question asks how many pieces of rope, each measuring 3/7 of a foot, can be made from a total length of 7/2 feet. To find the answer, you need to divide the total length of the rope (7/2 feet) by the length of each piece (3/7 foot), which is a division problem involving fractions:

(7/2) ÷ (3/7) = (7/2) × (7/3) = 49/6.

This means you can cut the rope into 49/6 pieces. Since you can't have a fraction of a physical piece of rope, the practical answer is that you can make 8 whole pieces of rope, each 3/7 of a foot long, with a little bit of rope left over.

You can make 8 full pieces of rope that are each 3/7 of a foot long from 7/2 feet of rope, with a small leftover piece.

The question asks how many pieces of rope measuring 3/7 of a foot each can be made from 7/2 feet of rope. To find this, we divide the total length of rope by the length of one piece:

Total length of rope: 7/2 feet
Piece length: 3/7 foot

We divide 7/2 by 3/7, which is the same as multiplying 7/2 by the reciprocal

of 3/7 (which is 7/3):

(7/2) * (7/3) = 49/6

This simplifies to 8 1/6, which means you can make 8 full pieces of rope that are each 3/7 of a foot long, with a small piece leftover.

Answer:

A

Step-by-step explanation:

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The correct phrase below which you have not included is (7x +5 )/(-2x+11).

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b, will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

The ratio is the division and the ratio can be bigger than the amount which is put on the ratio or the ratio could be smaller than the amount which is put on the ratio. It depends upon whether the numerator is big or small than the denomintor.

Given the condition in the question let's suppose the number is x then

seven-time is 7x and 5 means 7x + 5.

Similarly -2 times means -2x and 11 means -2x + 11 hence  (7x +5 )/(-2x+11) will be correct answer.

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