HELP!!!Find the exact circumference of a circle with the given radius.

36 inches

C =

A) 72π in.

B) 36π in.

C) 18π in.

Answers

Answer 1

Answer:

Hello!

To find the circumference of a circle, use the formula: C = 2πr. Since the radius is given, we can substitute that into the formula.

C = 2(36)π

C = 72π

Therefore, the circumference of the circle is 72π inches.

Related Questions

What is 0.26 written as a fraction in simplest form?A. 26/100B. 13/50C. 26/10D. 13/25
4. The admission fee at a play is $2.50 for each child and $4.00 for each adult. On opening night, the 1000 seat auditorium was sold out! When all the money was counted, they had $3400. How many adults attended the opening night's show? A.100B.400C.500D.600
Julia is saving money for the down payment on a car. She plans to save for one year. Her parents have offered to contribute $50 a month to her savings. How much does Julia need to save each month in addition to her parents' contribution if she wants to have a $2700 down payment on a car at the end of the year? Define a variable and write an equation to represent this situation.
D=RT for D, if T=5hours and T=65mph
4,5,6,6,10,10,12,13,14,15,15,16,16 Min: Q1: Med: Q3: Max:

A camera rental company charges a fixed amount plus a fee based on the number of days for which the camera is rented. The graph below shows the amount paid for a different number of days to rent the camera: A graph titled Camera Rentals plots the Number of Days on the x axis and the Amount in dollars on the y axis. A straight line joins the ordered pairs 0, 40 and 4, 120.

What is the fixed amount charged?

$20
$30
$40
$80

Answers

Answer:

$40

Step-by-step explanation:

We are given two points (0, 40) and (4, 120).

Now to find the equation which represents A graph titled Camera Rentals plots the Number of Days on the x axis and the Amount in dollars on the y axis.

To Find equation we will use two point slope form.

Formula: $y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)$

$(x_1,y_1)=(0,40)$

$(x_2,y_2)=(4,120)$

Substitute the values in the formula

$y-40=(120-40)/(4-0)(x-0)$

$y-40=(80)/(4)x$

$y-40=20x$

$y=20x+40$

The equation represents the situation : $y=20x+40$

where x is the number of days

y is the Amount in dollars

Now we are supposed to find the fixed amount charged.

So, we need to substitute x i.e. number of days=0

So, $y=20(0)+40$

$y=40$

Hence the fixed amount charged is $40.

Given:
x y
0 40
4 120

y = fixed amount + v(x)
y = 40 + v(0)
y = 40

y = 40 + v(x)
120 = 40 + v(4)
120 - 40 = v(4)
80 = v(4)
80/4 = v
20 = v

y = 40 + 20x

The fixed amount charged is 40.

The variable amount is 20 per day.

How big is 2000 sq.ft in yards?

Answers

200 square feet = 222.2222 square yards.

There are three feet in a yard and nine square feet in a square yard. Divide 2000 by 3 and then divide by 3 again to get 222.222 square yards.

A) SSS
B) SAS
D) ASA
E) AAS
F) HL
G)not congruent

Answers

Answer: E) AAS

Explanation:

AAS stands for Angle Angle Side. The order is important because the side is not between the angles.

The diagram shows that

angle A = angle D
angle C = angle F
side AB = side DE

Items 1 and 2 above correspond to the "A"s of "AAS", while item 3 refers to the "S".

Once again, the order of AAS is important. We don't go for ASA because side AB is not between angles A and C. Same for DE not between angles D and E.

Juliet opened a savings account at a bank by depositing $75. The account earns simple interest at a rate of 4% per year. The money has been in the account for 5 years, and Juliet has not made any more deposits or withdrawals. How much money is in Juliet’s account?A) $270.00
B) $78.00
C) $80.00
D) $90.00

Answers

The money has been in the account for 5 years. This means that the amount of deposit was increased for 5 times.
75*1.04*1.04*1.04*1.04*1.04=75*1.04^5≈91.3 $
In this way i prefer to chose D) $90.00 beacuse it's the nearest number

The standard deviation of a sample taken from population A is 17.6 for a sample of 25. The standard deviation of a sample taken from population B is 21.2 for a sample of 30. The standard deviation of the sample mean difference is?

Answers

The answer is 5.5

The standard deviation (sd or σ) of the sample mean difference is:
sd = √(sd₁²/n₁ + sd₂²/n₂)

For the population A:
sd₁ = 17.6
n₁ = 25

For the population B:
sd₂ = 21.2
n₂ = 30

Hence:
sd = √(sd₁²/n₁ + sd₂²/n₂)
= √(17.6²/20 + 21.2²/30)
= √(309.76/20 + 449.44/30)
= √(15.49 + 14.98)
= √(30.47)
= 5.5

The system of equations below has exactly one (x, y) pair for its solution.4x+6y=244x+6y=24
2x+y=82x+y=8
If we double each side of the second equation, 2x+y=82x+y=8, we have 4x+2y=164x+2y=16. Explain why the same pair that is the solution to the system is also a solution to this new equation.
If needed, you can support your explanation with hanger diagrams (upload a picture), or by inventing a situation that the equations represent.
If we add the two equations in the original system, we have 6x+7y=326x+7y=32. Explain why the same (x, y) pair is also a solution to this equation.
Again, you can support your explanation with diagrams or a situation, if needed.

Answers

Final answer:

The equations are a system of linear equations. Modifying them through multiplication or addition while keeping both sides balanced doesn't change the solution. Any pair (x,y) satisfying one equation will satisfy the others.

Explanation:

In mathematics, these equations are a system of linear equations. This is essentially a set of two or more equations, with a common set of variables. The same pair (x, y) are the solutions for all equations, as the second equation is a simplified, scalar multiple of the first.

So, for the first original equation (4x + 6y = 24), and the modified one (4x + 2y=16) which is the second equation of the system doubled, we can see that the multiplier is the same for both the 'x' and 'y' on the left side, and the right side of the equation. Therefore, if a pair (x,y) has been found to satisfy the first equation, it will also work for the second, as essentially, the equations are equivalent.

Similarly, adding the original system of equations, we get 6x + 7y = 32. This also has the same solution set, just expressed differently. As long as you're performing the same operation (like doubling, adding etc.) to each side of the equations, the balance remains constant, retaining the same solution.