Find the diameter of the circle that has a circumference equal to its area.2
4
8
10

Answers

Answer 1

Answer:
Circumference may have the same numerical magnitude as area, but they will never be "equal". Circumference is a length or distance, and area is an area.
So they can never have the same units, and quantities can't be equal without
the same units.

You might say that   π D (circumference) = π (D/2)² (area) .

Then D = (D/2)²

   D = D² / 4

   1 = D / 4

   D = 4 .

But this is no more than a parlor trick. In order to do it, you need to
ignore units completely, and that's unacceptable in math.

Answer 2

Answer: The formula for circumference of a circle:
$C=2 \pi r$

The formula for area of a circle:
$A=\pi r^2$
r - radius

The circumference is equal to the area.
$C=A \n2 \pi r=\pi r^2 \ \ \ |/ \pi r, \ r>0 \n2=r \nr=2$

The diameter is two times the radius.
$d=2r=2 * 2=4 \n \n\boxed{d=4}$

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9. If the area of a rectangle measures 20 square inches, the side lengthsmust be 4 inches and 5 inches.

Answers

Answer:

True

Step-by-step explanation:

The given statement is true.

Area of a rectangle is length times width.

A rectangle with the side length of 4 and 5 inches would have an area of 20 square inches.

$A=l*w\n\nA=4*5\n\nA=20$

Hope this helps.

Answer:

False

Step-by-step explanation:

There can be two sets of side lengths 4, 5 inches and 2, 10 inches.

Courtney reads around 110 words per minute. She procrastinated and now has less than a week to finish her reading assignment. If the book she needs to finish has another 820 pages left and each page has around 350 words, how many hours can Courtney complete her assignment?

Answers

820 pages X 350 words = 287,000 words

287,000 / 110 = 2.609.09 minutes

2.609.09 / 60 = 43.48 hours

It would take about 2 days of non-stop reading to finish her assignment

Find the component form of the vector that translates P(4,5) to p'.P'(-3,7)
CAN SOMEONE PLEASE HELP
3rd time asking this question no one is helping right

Answers

Answer:

Component form : (-7 , 2)

Step-by-step explanation:

P(4 , 5) = P'(4 +x , 5+y) = P'(-3 , 7)

4 + x = -3

x = -3 - 4

x = -7

5 + y = 7

y = 7 - 5

y = 2

Vector form : -7i + 2j

Component form : (-7 , 2)

Solve the system using elimination. Write the solution as an ordered pair. (1 point) SHOW YOUR WORK FOR FULL CREDIT! (2 points)13x + y = 15
-9x - 3y = -15

Answers

Answer: (1,2)

Step-by-step explanation:

You must:

- Multiply the first equation by 3.

- Add both equations.

- Solve for the variable left. In this case will be x.

Then:

$\left \{ {{39x +3y = 45} \atop {-9x - 3y = -15}} \right.\n------\n 30x=30\nx=1$

Substitute x=1 into any of the original equtions and solve for y:

$13(1)+y=15\ny=2$

The solution is: (1,2)

Answer:

The solution of the system of equation is (1 , 2)

Step-by-step explanation:

The system of equation is:

* 13x + y = 15 ⇒ (1)

* -9x - 3y = -15 ⇒ (2)

- By using elimination ⇒ we must make on of the

two variables in the two equations has the same value

with different sign

- So we will multiply equation (1) by 3 to eliminate y

∴ 3(13x) + 3(y) = 3(15)

∴ 39x + 3y = 45 ⇒ (3)

- Now add (2) and (3)

∴ 39x + -9x = 45 + -15

∴ 30x = 30 ⇒ ÷ 30 both sides

∴ x = 1

- Substitute the value of x in equation (1) or (2)

- Lets use (1)

∴ 13(1) + y = 15

∴ 13 + y = 15 ⇒ subtract 13 from both sides

∴ y = 15 - 13

∴ y = 2

∴ The solution of the system of equation is (1 , 2)

F(x) = 2x / (x-6) Find the domain of f (all permissible inputs of x)

Answers

Answer:

domain { x : x ∈ R, x ≠ 6 }

Step-by-step explanation:

given

f(x) = $(2x)/(x-6)$

the denominator of f(x) cannot be zero as this would make f(x) undefined

Equating the denominator to zero and solving gives the value that x cannot be.

x - 6 = 0 ( add 6 to both sides )

x = 6 ← excluded value in the domain

domain is {x : x ∈ R, x ≠ 6 }

What element is located at b24?B=[-4 10 -3 9
[ 6 0 2 -8
[7 -1 -11 4
[-9 -5 5 -10

Answers

b24 means the element of set B in the second row and 4th column.

(-8) is at that position.

What is set theory?

The mathematical concept of well-defined groupings of objects, or sets, that are referred to as members or elements of the set. The only sets that are taken into consideration are those whose members are also sets because pure set theory only deals with sets.

Given that the set is,

B=[-4 10 -3 9

[ 6 0 2 -8

[7 -1 -11 4

[-9 -5 5 -10

B24 stands for the B element in the second row and fourth column.

There is a (-8) there.

To know more about set theory follow

brainly.com/question/13458417

#SPJ2

b24 means Element of the set B in the second row and 4th column .
(-8) is at that position.

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