Find the area of A circle whose diameter is 8.3m round to the nearest tenth

A semicircle, which is half of a full circle, consists of half the total amount of radians in a full circle. Since a full circle has 2π radians, a semicircle contains π radians. Therefore, the correct answer is b.π.

To answer your question, let's review the structure of a circle.It is divided by its radius into 360 degrees or by its diameter into a full rotation of 2π radians. Therefore, a semicircle, which is half of a circle, must consist of half the total amount of radians in a full circle.

In a full circle, there are 2π radians. Hence, in a semicircle, which is exactly half of the full circle, there would be 2π/2. This simplifies to π radians.

So, the correct answer to your question 'How many radians are in a semicircle?' is b.π.

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Answer:

bb

Step-by-step explanation:

The graph of [tex]y = \sqrt{-2x[/tex] relates to its parent function as a result of (d) horizontal compression by a factor of 2, and a reflection across the y-axis

A function transformation involves changing the form or equation of a function to another through reflection, dilation, translation or rotation

The parent function is given as:

[tex]y = \sqrt x[/tex]

Compress the function horizontally by a factor of 2, using the following rule

[tex](x,y) \to (2x,y)[/tex]

So, we have:

[tex]y = \sqrt {2x[/tex]

Next, reflect the function over the y-axis, using the following rule

[tex](x,y) \to (-x,y)[/tex]

So, we have:

[tex]y = \sqrt {-2x[/tex]

Hence, the function transformation is (d)

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Answer:

that would be a reflection across the y axis resulting in a -x

Step-by-step explanation:

The Comparison between -1/2 and -2 1/2 is -1/2 is -2 more than -5/2.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

-1/2 and -2 1/2

So, -1/2 and -5/2.  

So, the quantity -1/2 > -5/2

Also, -1/2 is -2 more than -5/2.

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Answer:

A. Elijah’s prediction is exact because 180 divided by 3 = 60.

Step-by-step explanation:

The sum of the geometric series with a1 = 7, r = 2, and n = 14 is -327661.

The question is asking for the sum of a geometric series. In mathematics, the sum (S) of a geometric series is determined using the formula S = a1 * (1 - r^n) / (1 - r), where a1 is the first term, r is the common ratio, and n is the number of terms.

In the provided geometric series, a1 = 7, r = 2, and n = 14. Substituting these values into the formula gives us S = 7 * (1 - 2^14) / (1 - 2). After performing the calculations, the sum of the geometric series is -327661.

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The sum of the first 14 terms of the geometric series with the first term (a1) = 7, common ratio (r) = 2, is 114,691.

Given the first term of the geometric series (a1) = 7, the common ratio (r) = 2, and the number of terms (n) = 14, we would like to find the sum of this series.  Using the formula for the sum of a geometric series, S = a1 * (1 - r^n) / (1 - r), substituting the given values, we get:

S = 7 * (1 - 2^14) / (1 - 2)

This simplifies to S = 7 * ( -16383) / -1, which results in S = 114,691. So, the sum of the first 14 terms of this geometric series is 114,691.

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Answer: Option c. $ 611.20 will be correct.

Explanation:

Since, the total amount of finance charge is [tex]A=P\frac{r(1+r)^n}{(1+r)^n-1}[/tex]

Where P is the principle, r is the rate, n is the times of compound interest (monthly or quarterly etc.) .

Here P=$4250 r=13.25%, and n=24.

So according to the formula So, the finance charge= [tex]4250\frac{13.25(1+13.25)^{24}}{(1+13.25)^{24}-1}[/tex] =  $ 611.20

The total finance charge for a $4,250 loan at 13.25% interest compounded monthly for 24 months is c) $611.20.

To calculate the total finance charge for a $4,250 loan at 13.25% interest compounded monthly for 24 months, we can use the following formula:

Total finance charge = Principal * (1 + Monthly interest rate)^Number of months - Principal

Where:

Principal is the amount of the loan ($4,250)

Monthly interest rate is the annual interest rate divided by 12 (13.25% / 12 = 1.1042%)

Number of months is the term of the loan in months (24)

Total finance charge = 4250 * (1 + 0.011042)^24 - 4250

Total finance charge = 611.20

Therefore, the answer is c. $611.20.

Note that this formula is for calculating the total finance charge over the entire term of the loan. If you want to calculate the monthly finance charge, you can simply divide the total finance charge by the number of months in the loan term. For example, the monthly finance charge for this loan would be $611.20 / 24 = $25.47.

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Answer:

measure of angle E equals 20 degrees, measure of angle D equals 20 degrees

Answer:

C. x=4

Step-by-step explanation:

A disadvantage of withdrawing more than you have in your account is you will be charged an overdraft fee.

An overdraft fee can be described as the fee your bank charges you when you make a withdrawal from your account beyond what you have in it.

An overdraft fee is one of the disadvantages of withdrawing more money than you have in your account..

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Answer:

21 1/2

Step-by-step explanation:

81y4 -16x, the difference of squares.

The expression (9y2 – 4x)(9y2 + 4x) is equivalent to 81y4 – 16x2, a difference of squares in mathematical terms.

The expression you are asking about is equivalent to

81y4 – 16x2

, which is a special product known as

the difference of squares

. In mathematics, a difference of squares is a term that describes an expression of the form a^2 - b^2. It can be factored into the multiplication of two binomials: (a+b)(a-b). In your example, (9y2)^2 is 81y4 and (-2x)^2 is 16x2, so the final expression is 81y4 – 16x2.

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Final answer:

The algebraic equation that represents the relationship between the number of chairs, c, and the number of desks, d, in an office, where the number of chairs is five more than twice the number of desks, is c = 2d + 5.

Explanation:

The student's question pertains to creating an algebraic equation based on a given word problem describing the relationship between the number of chairs (c) and desks (d) in an office. The problem states that 'the number of chairs, c, is equal to five more than twice the number of desks, d'.

To formulate the equation that illustrates this relationship, we apply the information provided:

Answer:

[tex]\bigg(\displaystyle\frac{f}{g}\bigg)(5) = 270[/tex]

Step-by-step explanation:

We are given the following information in the question:

[tex]f(x) = 7 +4x\\\\g(x) = \displaystyle\frac{1}{2x}[/tex]

We have to find the values of [tex]\displaystyle\frac{f}{g}(x)[/tex]

[tex]\bigg(\displaystyle\frac{f}{g}\bigg)(x) = \frac{f(x)}{g(x)} = \frac{7 + 4x}{\frac{1}{2x}} = 2x(7+4x)[/tex]

Putting x = 5, we have:

[tex]\bigg(\displaystyle\frac{f}{g}\bigg)(x) = 2x(7+4x)\\\\\bigg(\displaystyle\frac{f}{g}\bigg)(5) = 2(5)(7+20)=270[/tex]

270 is the required value of [tex]\bigg(\displaystyle\frac{f}{g}\bigg)(5)[/tex].

In this question, first we have to see how many feets are in 1 yard .

And there are 3 feets in 1 yard.

So in 3 yards, there are 9 feets

Therefore we will get

[tex] \frac{1}{6}*3 yards= \frac{1}{6} * 9 feet = 1.5 feet [/tex]

Therefore the answer of the given question is 1.5 feet.

Final answer:

To find the equivalent feet for 1/6 of 3 yards, multiply 1/6 by 3 feet per yard to get 1.5 feet.

Explanation:

1/6 of 3 yards=_____feet

Step 1: 1 yard is equal to 3 feet.

Step 2: To find the equivalent feet for 1/6 of 3 yards, calculate 1/6 x 3 = 0.5 x 3 = 1.5 feet.