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ad-work [718]
3 years ago
15

What is the perimeter of a square which has the same area as a circle with circumfrence of 4π

Mathematics
1 answer:
Kruka [31]3 years ago
8 0

Answer:

Perimeter square = 8 sqrt(pi)

Step-by-step explanation:

The perimeter of a square is 4*s

The area of a circle is Area = pi * r^2

The circumference of a circle is C = 2*pi * r

C = 4 pi

4pi = 2*pi * r

r = 2

So the area of the circle is pi * r^2 = pi * 2^2 = 4pi

The square has the same area

Area = 4*pi

Square = 4*pi

s^2 = 4*pi

s = sqrt(4*pi)

s = 2*sqrt(pi)

The perimeter = 4 * 2 * sqrt(pi)

The perimeter = 8 * sqrt(pi)

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If f(x)=x+3 and g(x)=x-3 find (f-g)(x)
maw [93]

Answer:

(f-g)(x)=6

Step-by-step explanation:

Given:

f(x)=x+3\\g(x)=x-3

To find  (f-g)(x)

Solution:

In order to find  (f-g)(x) we will subtract the function g(x) from f(x)

So, we have:

(f-g)(x)=f(x)-g(x)

Plugging in f(x) and  g(x) in the above combinations of functions.

(f-g)(x)=(x+3)-(x-3)

Simplifying by removing the parenthesis and reversing the signs of the terms in the parenthesis after the negative.

(f-g)(x)=x+3-x+3

Combining like terms.

(f-g)(x)=x-x+3+3

∴  (f-g)(x)=6

8 0
3 years ago
For the ordered pair (x,-5), what x-value satisfied the equation y = -2x+3?
Flauer [41]
Y = -2x + 3
-5 = -2x + 3
-5 - 3 = -2x + 3 - 3
-8 = -2x
-8/-2 = -2x/-2
x = 4
The ordered pair (4,-5) satisfies <span>y = -2x+3.</span>
8 0
4 years ago
Read 2 more answers
Carrie took a 24-hour train ride from Colorado to Illinois. If she arrived in Illinois at 2:45pm CST on Wednesday, when she did
Yuki888 [10]

Answer:

Carrie left Colorado at 2:45pm CST on Tuesday.

Step-by-step explanation:

The train travels a total of 24 hours to get from Colorado to Illinois, that is, it takes one complete day of travel to get from one city to the other.

So, if Carrie arrives Illinois at 2:45pm CST on Wednesday, she left Colorado exactly one day before that, in the same hour, so she left Colorado at 2:45pm CST on Tuesday.

3 0
3 years ago
Show us that ur a kool kid by answering this question
aksik [14]

Answer:

<15,-21>

Step-by-step explanation:

u = <3, -1>

v = <-6, -6>

9u + 2v

9 <3, -1>+2 <-6, -6>

<27, -9> + <-12,-12>

<15,-21>

6 0
4 years ago
A rectangle has a length of 4x plus 5 and a width of 8x minus 4. Which expression shows the perimeter of that rectangle? A: 4x +
mezya [45]

Answer: The answer is (D) 24x+2.


Step-by-step explanation:  Given that there is a rectangle, where length of the rectangle is given by

\ell=4x+5,

and width of the rectangle is given by

b=8x-4.

We are to find the perimeter of the rectangle. To do so, we need to add two times length with two times breadth of the rectangle.

Therefore, perimeter is given by

p=2\ell+2b=2\times(4x+5)+2\times(8x-1)=8x+10+16x-8=24x+2.

Thus, the correct option is (D).


6 0
4 years ago
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