Write an expression which solves for the radius of an object having the circumference of 30 feet

Answers

Answer 1

Answer: $circumference=30ft.\n\ncircumference=2\pi r\ (r-radius)\n\n2\pi r=30\ \ \ \ /:2\pi\n\nr=(30)/(2\pi)\n\nr=(15)/(\pi)\ (ft)\n\n(15)/(\pi)\approx(15)/(3.14)\approx4.78\ (ft)$

Answer 2

Answer: C=2pi(r)
30=2pi (r)
r=(30)/(2pi)

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(3x + 2) (2x - 5) = ax² + kx + n . What is the value of a - n + k ?
A cylindrical swimming pool has a diameter of 18 feet and a height of 4 feet. About how many liters of water are needed to fill the swimming pool 85% of its total volume? Round your answer to the nearest whole number. (1 ft³ ≈ 28.3 L) To the nearest whole number of liters.

A round clock is shown below. Which of the following is closest to the number of inches around the clock

Answers

Answer:

If it is that image with the width of the clock being 11 inches, the answer would be 34.54 inches.

Steve has 120 feet of fence to make a rectangular kennel for his dogs. He will use his house as one side. Write an algebraic expression for the kennel's length.

Answers

It would be 4x feet, where x=30.

Blank divided by 9 equals 6

Answers

54 divided by 9 equals 6.

well to get the answer do 9 x 6 which is 54 so your answer would be 54

.31 is what in a fraction

Answers

To convert 0.31 into a fraction, use the place value system, where 0.31 is represented as 31/100.

To convert this decimal into a fraction,

Express the value of each digit in terms of its place value.

The given decimal number is .31

Write down the number as the numerator of the fraction: 31

Determine the denominator of the fraction based on the number of decimal places.

In this case, we have two decimal places,

So the denominator will be 100

Then the fraction is $(31)/(100)$

Simplify the fraction if possible.

In this case, the fraction 31/100 cannot be simplified further.

Hence, 0.31 as a fraction is $(31)/(100)$ .

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the answer to this is 31/100

The dashed figure is a dilation of the solid figure. Which of the following statements is true?a.The dilation is an enlargement.
b.The dilation is a reduction.
c.The dilation has a scale factor of 1/3.
d.The dilation has a scale factor of 3.
e.The dilation has a scale factor of 9.

Answers

The dilation is an enlargement and the dilation has a scale factor of 3. Therefore, options A and D are the correct answer.

From figure given below, square C has side of length 3 units.

What is a dilation?

Dilation is the process of resizing or transforming an object. It is a transformation that makes the objects smaller or larger with the help of the given scale factor. The new figure obtained after dilation is called the image and the original image is called the pre-image.

From given figure we can see the dashed figure, square has side of length 9 units.

Here we understood that the image has enlargement.

Now, scale factor = Dimensions of new image ÷ Dimensions of original image

= 9/3

= 3 units

Therefore, options A and D are the correct answer.

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Answer:

The dilation is also an enlargement.

Step-by-step explanation:

Select the correct answer.What is the factored form of 1,458x3 − 2?

A.
2(9x − 1)(81x2 + 9x + 1)
B.
2(9x + 1)(81x2 − 9x + 1)
C.
(9x − 2)(81x2 + 18x + 4)
D.
(9x + 2)(81x2 − 18x + 4)

Answers

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

What is the factored form of 1,458x³ − 2?

A. 2(9x − 1)(81x² + 9x + 1)

B. 2(9x + 1)(81x² − 9x + 1)

C. (9x − 2)(81x² + 18x + 4)

D. (9x + 2)(81x² − 18x + 4)

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

$\sf \: 1458 x ^ { 3 } - 2$

Factor out 2 (common factor).

$\sf \: 2\left(729x^(3)-1\right)$

Consider $729x^(3)-1$ . Rewrite $729x^(3)-1$ as $\left(9x\right)^(3)-1^(3)$ . The difference of cubes can be factored using the rule: $a^(3)-b^(3)=\left(a-b\right)\left(a^(2)+ab+b^(2)\right)$ .

$\sf\left(9x-1\right)\left(81x^(2)+9x+1\right)$

Rewrite the complete factored expression. Polynomial 81x²+9x+1 is not factored as it does not have any rational roots.

$\boxed{ \boxed{ \bf A) \: \: 2\left(9x-1\right)\left(81x^(2)+9x+1\right) }}$

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