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4 years ago

Which of the following is the best approximation of the circumference of a circle whose diameter is 12 inches?

1 answer:

5 0

To solve this problem, we need to remember the two possible formulas for finding the circumference of a circle, which are: C = 2πr and C=πd.

Because we are given the diameter in this example, we should use the C=πd formula. To solve, we simply need to plug in our value for the variable d (representing diameter).

C = πd

C = π(12 inches)

C = 12π inches, or approximately 37.68 inches (found by plugging in 3.14 for pi)

Therefore, the circumference is 12π or 37.68 inches.

Hope this helps!

You might be interested in

Two more than seven times Lynn's age

Vikki [24]

Answer:

7y + 2

Step-by-step explanation:

Let y represent Lynn's age. Then "two more than seven times Lynn's age " would be 7y + 2.

7 0

3 years ago

If S is a compact subset of R and T is a closed subset of S, then T is compact. Prove this using the definition of compactness.

wlad13 [49]

Answer:

It has been proved that T is compact

Step-by-step explanation:

To prove this using the definition of compactness, let's assume that T is

not compact. Now, if that be the case, an open cover of T will exist. Let's call this open cover "A". Now, this open cover will have no finite subcover.

Now, from the question, since T is closed, it’s complement R\T will be open.

Therefore, if we add the set R\T to the collection of sets A, then we'll have an open cover of R and also of S.

Due to the fact that S is compact, this

cover will have a finite sub - cover which we will call B.

Finally, either B itself or B\{R\T} would be a finite sub - cover of A. This is a contradiction.

Thus, it proves that T has to be compact if S is to be a compact subset of R and T is to be a closed subset of S.

3 0

3 years ago

Mrs. May lives 7.64 miles from liberty. Write this number a couple of different ways.

Olenka [21]

Answer:

12.29539 km

13446.3910760969 yards

6.6389740820642568764 nautical miles

6 0

3 years ago

Read 2 more answers

Adrian works 20 hours per week and receives 190. what is the vonstant of proportionality

koban [17]

Answer:

The constant of proportionality is 9.5

Explanation:

The relation we are given between the hours worked and the amount of money received is a direct proportional relation

A direct proportion relation between two quantities means that when one of the them increases, the other would increase with a fixed rate and vice versa

This relation is represented using the following general equation:

y = kx where k is the constant of proportionality

Now, we are given that:

Adrian works 20 hours (x = 20, independent variable) and earns $190 (y = 190, dependent variable)

We substitute with these givens in the general equation and solve for k

This is done as follows:

y = kx

190 = 20k

k = 9.5

This means that the constant of proportionality is 9.5

Additional information:

The constant of proportionality in this problem represents Adrian's hourly rate

The equation is:

Amount earned = Hourly rate * number of hours worked

We have:

y is the amount earned

k is the hourly rate (constant of proportionality)

x is the number of hours worked

The final equation is:

y = 9.5x

Hope this helps :)

3 0

3 years ago

Jaime biked 5 1/4 miles on Monday, 6 7/8 miles on Tuesday, and 8 1/2 miles on Wednesday.If the pattern continues, how many miles

PilotLPTM [1.2K]

Jamie will bike 9 3/4 miles on Friday

5 0

3 years ago

Read 2 more answers