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3 years ago

What is the exact circumference of the circle?

1 answer:

7 0

Data:

Formula: diameter = 2*radius

Formula: (Circle length)
 $C = 2* \pi *r$

Solving: Using the data
diameter = 2*radius
20 = 2*r
2r = 20
$r = \frac{20}{2}$
$\boxed{r = 10\:ft}$

Now, replace in the circumference length formula
 $C = 2 \pi *r$
$C = 2 \pi *10$
$\boxed{\boxed{C = 20 \pi \:ft}}\end{array}}\qquad\quad\checkmark$

Answer:
The exact circumference of the circle is $20 \pi \:ft$

You might be interested in

357,335 rounded to the nearest ten357,335 rounded to the nearest ten

Advocard [28]

Answer:

357,340

Step-by-step explanation:

Locate the tens place:

357,335

Check the number to the right:

357,335

If the number is greater than or equal to 5, then we round up. If the number is less than or equal to 4, we round down.

The number next to the tens place is a '5'. We round up.

357,335 ≈ 357,340

Hope this helps.

5 0

3 years ago

Find the area. help pls

lions [1.4K]

Answer:

81.6 inches squared

Step-by-step explanation:

The formula for calculating all parallelograms is Area+=base*height.

The height is given to you, 6.8, the base of the figure is also given, 12.

Now all you have to do is to multiply.

That would get you to 81.6.

(When asked for area of parallelogram, the length of any line other than the height and base is not needed)

hoped this helped!

6 0

2 years ago

Jennifer has a beginning balance of $4,750 in her Checking account. After depositing a paycheck (p), she writes a check (c), and

Zepler [3.9K]

Answer:

An Algebraic Expression that models the situation is $4750+p-c-d+r$

Step-by-step explanation:

Beginning balance of Jennifer=$4750

Now she deposits a paycheck = p

So, New balance = 4750+p

Now she writes a check = c

Remaining balance = 4750+p-c

Now she writes a check = d

Remaining balance = 4750+p-c-d

Now refunded some money (r) for returning a pair of shoes she bought.

New balance = 4750+p-c-d+r

Hence an Algebraic Expression that models the situation is $4750+p-c-d+r$

7 0

3 years ago

Solve each problem. NO LINKS!!!!!

Sauron [17]

<h3>Answers:</h3>

Problem 10) There are 220 combinations
Problem 11) There are 126 combinations
Problem 12) There are 154,440 permutations
Problem 13) There are 300 different ways

============================================================

Explanations:

Problem 10

The order of the toppings doesn't matter. All that matter is the group itself. We'll use the combination formula nCr = (n!)/(r!*(n-r)!) where n = 12 and r = 3 in this case.

So,

nCr = (n!)/(r!*(n-r)!)

12C3 = (12!)/(3!*(12-3)!)

12C3 = (12!)/(3!*9!)

12C3 = (12*11*10*9!)/(3!*9!)

12C3 = (12*11*10)/(3*2*1)

12C3 = 1320/6

12C3 = 220

-------------------------

Problem 11

Like with problem 10, the order doesn't matter. This is assuming that each member on any given team has the same rank as any other member.

If you used the nCr combination formula, with n = 9 and r = 5, you should get the answer 126

Here's another way to get that answer.

There are 9*8*7*6*5 = 15120 different permutations. If order mattered, then we'd go for this value instead of 126

Within any group of five people, there are 5! = 120 different ways to arrange them. So we must divide that 15120 figure by 120 to get the correct value of 126 combinations

15120/120 = 126

Note the connection between nCr and nPr, namely,

nCr = (nPr)/(r!)

-------------------------

Problem 12

Now this is where order matters, because the positions in basketball are different (eg: a point guard differs from a center).

We have 13 choices for the first position, 12 for the second, and so on until we reach 13-r+1 = 13-5+1 = 9 as the number of choices for that last slot.

So we'll have 13*12*11*10*9 = 154,440 different permutations

Now if the condition that "each player can play any position" isn't the case, then the answer would very likely be different. This is because for the center position, for instance, we wouldn't have 13 choices but rather however many choices we have at center. To make the problem simpler however, your teacher is stating that any player can play at any slot. Realistically, the answer would be far less than 154,440

-------------------------

Problem 13

We have 6 applications for the 2 math positions. Order doesn't matter. That means we'll have 6C2 = 15 different ways to pick the math people. Use the nCr formula mentioned in problem 10. Since we'll use this value later, let's make x = 15.

There are 2 people applying for the chemistry teaching position, meaning there are 2 ways to fill this slot. We could compute 2C1 = 2, but that's a bit overkill in my opinion. Let y = 2 so we can use it later.

Similarly, there are 10 applicants for the Spanish teacher position, leading to 10 ways to get this position filled. You could compute 10C1 = 10 if you wanted to. Let z = 10 so we can use it later.

Once we figured out those x,y,z values, we multiply them together to get our final answer: x*y*z = 15*2*10 = 30*10 = 300

There are 300 different ways to select 2 math teachers, a chemistry teacher, and a Spanish teacher from a pool of 6 math applicants, 2 chemistry applicants, and 10 Spanish teacher applicants.

7 0

2 years ago

Plz help me with b,a , and b

solniwko [45]

2A) C is correct.

2B) If x + 13 = 28, solve.
$x+13=28\\
x=15$
If x = 15 and x + 13 = 28, you can solve it two ways:
1. Plug x into 4x + 26 to get a perimeter of 86, or
2. Redo the equation:
$P=2(15)+2(28)\\
P = 30+56\\
P=86$

3a. Since the 6z is negative, you want an expression the has 5z - (11z). Answers A and D have that in their answer.
But since the 13 is positive, you want the answer that subtracts the smaller number from the larger. Thus, D is your answer since it subtracts 2 from 15.

3b) You think about this question the same way; 6z is positive, so the smaller number is being subtracted from the larger, meaning that 11z - 5z is what you look for. C and D are the two that have that, so now let's look at the second term.
The 13 is negative, so you want the answer that has 2 - 15. The answer that has that is D.

Hope this helps :D

8 0

3 years ago