Find the area of the figure to the nearest tenthA. 8.2 in.2
B. 74.2 in.2
C. 148.4 in.2
D. 23.6 in.2

Answers

Answer 1

Answer: That's a part of a circle that has a radius of 9 inches.

Area of any circle = (pi) x (radius)²

Area of the full circle that this is a piece of = (pi) x (9)² = (81 pi) square inches.

That's the whole circle. How much of the whole circle is in the picture ?

A whole circle has 360 degrees in the middle. This piece has 105 degrees in the middle.
This piece is ( 105/360 ) of the whole circle.

So the area of the piece is (105/360) x (81 pi) = 74.22 square inches (rounded)

Hello!

The answer is:

$f'(2)=-1$

Why?

To solve this problem, first we need to derivate the given function, and then, evaluate the derivated function with x equal to 2.

The given function is:

$f(x)=(4)/(x)$

It's a quotient, so, we need to use the following formula to derivate it:

$f'(x)=(d)/(dx)((u)/(v)) =(v*u'-u*v')/(v^(2) )$

Then, of the given function we have that:

$u=4\nv=x$

So, derivating we have:

$f'(x)=(d)/(dx)((4)/(x)) =(x*(4)'-4*(x)')/(x^(2) )$

$f'(x)=(d)/(dx)((4)/(x)) =(x*0-4*1)/(x^(2) )$

$f'(x)=(d)/(dx)((4)/(x)) =(0-4)/(x^(2) )$

$f'(x)=(d)/(dx)((4)/(x)) =(-4)/(x^(2) )$

Hence,

$f'(x)=(d)/(dx)((4)/(x)) =(-4)/(x^(2) )$

Now, evaluating with x equal to 2, we have:

$f'(2)=(-4)/((2)^(2) )$

$f'(2)=(-4)/(4)$

$f'(2)=-1$

Therefore, the answer is:

$f'(2)=-1$

Have a nice day!

ANSWER

$f'(2) = -1$

EXPLANATION

The given function is

$f(x) = (4)/(x)$

Recall that:

$\frac{c}{ {a}^( m) } = c {a}^( - m)$

We rewrite the given function using this rule to obtain,

$f(x) = 4 {x}^( - 1)$

Recall again that,

$f(x)= a {x}^(n)$

then

$f'(x)=n a {x}^(n - 1)$

We differentiate using the power rule to obtain,

$f'(x) = - 1 * 4 {x}^( - 1 - 1)$

$f'(x) = - 4 {x}^( - 2)$

We rewrite as positive index to obtain,

$f'(x) = - \frac{4}{ {x}^(2) }$

We plug in x=2 to obtain,

$f'(2) = - \frac{4}{ { (2)}^(2) } = - (4)/(4) = - 1$

the area of a rectangular plot 30 feet long and 20 feet wide will be doubled by creating a border around the plot. what width should the border be to accomplish this?

Answers

Answer:

(2x + 20)(2x + 30) = 1200 Aplus

Step-by-step explanation:

the area of the plot is 600 (20x30) and it needs to be 1200 (600x2)
only the width is changed so you divide it by the length which is 30
1200 divided 30 is 40 so the answer is 40 (another way is to just multiply the width by 2 since it's the only thing changing)

hope this helps :)

Help help help help help help help help

Answers

Answer:

$x^(2) +5x$

Step-by-step explanation:

A = length x width

l = x + 5

w = x

A = x(x + 5)

$A=x^(2) +5x$

Whats the mean, media, maximum,minimum,mode and range of 1,2,1,3,4

Answers

First put the numbers in order least to greatest.
(1,1,2,3,4)
The mean is the average of the group of numbers.
Too find it you add all the numbers up and divide it by how many numbers there are.
In this case it would be 11 divided by 5 so the mean would be $2 (1)/(5)$

Median is just another word for middle. After putting the numbers in order, the number in the center of the group is the median, in this case it would be 2.

The maximum would just be the largest number which is self explantory (4)

The minimum would be the lowest number (1)

I was taught to see mode as the word "most". All you do is see which number occurs the most. If all the numbers only occur once, your answer would be "No mode"

It is that simple! The Range is the difference between the lowest and highest number. So all you have to do is subtract the maximum by the minimum. In this case it would be 4-1 = 3

Emily wants to hang a painting in a gallery. The painting and frame must have an area of 31 square feet. The painting is 5 feet wide by 6 feet long. Which quadratic equation can be used to determine the thickness of the frame, x?4x2 + 22x − 1 = 0
4x2 + 22x + 31 = 0
x2 + 11x − 1 = 0
x2 + 11x + 31 = 0

Answers

Option c) x² + 11x - 1 = 0 is the correct quadratic equation that can be used to determine the thickness of the frame.

In this problem, Emily wants to hang a painting in a gallery, and she needs to determine the thickness of the frame, denoted by "x," surrounding the painting. The painting and frame together should have an area of 31 square feet. The dimensions of the painting are given as 5 feet in width and 6 feet in length. To find the equation that will help us determine the thickness of the frame, we need to set up a quadratic equation based on the given information.

Let's start by visualizing the problem. The painting is a rectangle, and the frame around it will also form a rectangle. So, we can find the area of the frame by subtracting the area of the painting from the total area of the painting and the frame.

The area of a rectangle can be calculated by multiplying its length and width. For the painting, we have:

Painting's area = Length * Width

= 6 feet * 5 feet

= 30 square feet

Now, we know that the total area of the painting and frame together is 31 square feet. So, we can set up the following equation:

Total area (painting + frame) = Painting's area + Frame's area

31 square feet = 30 square feet + Frame's area

Frame's area = 31 square feet - 30 square feet = 1 square foot

The frame's area is given by the product of its width (which is the thickness "x") and the length of the painting (6 feet):

Frame's area = x * 6 feet

Since the frame's area is equal to 1 square foot, we can write:

x * 6 = 1

Now, let's rearrange the equation to set it to zero on one side:

6x - 1 = 0

We have now derived the quadratic equation that represents the problem:

6x - 1 = 0

The correct answer is not directly provided among the options. However, let's manipulate the equation to put it in standard quadratic form (ax² + bx + c = 0):

Multiply the equation by -1 to change the sign of each term:

-6x + 1 = 0

Now, it matches option c) x² + 11x - 1 = 0.

Thus, option c) is the correct quadratic equation that can be used to determine the thickness of the frame, "x," for the given problem.

To know more about Quadratic Equation here

brainly.com/question/17177510

#SPJ2

The correct answer is 4x2 + 22x − 1 = 0

That's what you get when you (5 + 2x)(6 + 2x) = 31

And you get to expand that based on the data that is already provided in the question.

Find the area of the figure to the nearest tenthA. 8.2 in.2 B. 74.2 in.2 C. 148.4 in.2 D. 23.6 in.2

Answers

Related Questions

Answers

Answers

Hello!

Why?

Answers

Answers

Answers

Answers

Find the area of the figure to the nearest tenthA. 8.2 in.2
B. 74.2 in.2
C. 148.4 in.2
D. 23.6 in.2