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2 years ago

Find the exact circumference of the circle. please help?

Mathematics

1 answer:

Bogdan [553]2 years ago

7 0

Answer:

3rd option

Step-by-step explanation:

We first need to find the diameter of the circle.

We know this is a square because all sides are marked by a line so this means they are equal. Let find the diagonal of the square to find all parts of the square.

The diagonal of a square is

$a \sqrt{2}$

where a is the side lengths of the square.

So this means the diagonal of the square is

$18 \sqrt{2}$

The diagonal is also the diameter of the main circle. The formula for circumference is

$d\pi$

where d is the diameter.

So the diameter is

$(18 \sqrt{2} )\pi$

$18\pi \sqrt{2}$

The third option is correct

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Answer:

Step-by-step explanation:

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3 years ago

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Find the indicated limit, if it exists.

kondor19780726 [428]

Answer:

d) The limit does not exist

General Formulas and Concepts:

Calculus

Limits

Right-Side Limit: $\displaystyle \lim_{x \to c^+} f(x)$
Left-Side Limit: $\displaystyle \lim_{x \to c^-} f(x)$

Limit Rule [Variable Direct Substitution]: $\displaystyle \lim_{x \to c} x = c$

Limit Property [Addition/Subtraction]: $\displaystyle \lim_{x \to c} [f(x) \pm g(x)] = \lim_{x \to c} f(x) \pm \lim_{x \to c} g(x)$

Step-by-step explanation:

*Note:

In order for a limit to exist, the right-side and left-side limits must equal each other.

Step 1: Define

Identify

$\displaystyle f(x) = \left\{\begin{array}{ccc}5 - x,\ x < 5\\8,\ x = 5\\x + 3,\ x > 5\end{array}$

Step 2: Find Right-Side Limit

Substitute in function [Limit]: $\displaystyle \lim_{x \to 5^+} 5 - x$
Evaluate limit [Limit Rule - Variable Direct Substitution]: $\displaystyle \lim_{x \to 5^+} 5 - x = 5 - 5 = 0$

Step 3: Find Left-Side Limit

Substitute in function [Limit]: $\displaystyle \lim_{x \to 5^-} x + 3$
Evaluate limit [Limit Rule - Variable Direct Substitution]: $\displaystyle \lim_{x \to 5^+} x + 3 = 5 + 3 = 8$

∴ Since $\displaystyle \lim_{x \to 5^+} f(x) \neq \lim_{x \to 5^-} f(x)$ , then $\displaystyle \lim_{x \to 5} f(x) = DNE$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

5 0

3 years ago

4. Steve has a card collection. He keeps 12 of the cards in a pocket, which

BabaBlast [244]

Answer:

I think 80

Step-by-step explanation:

100/15=6.66666667

12x6.67=80.4

4 0

3 years ago

There is a total of 45 boys and girls in a choir.

rusak2 [61]

Answer:

16.5 year

Step-by-step explanation:

Using, mean = sum/no. *of observations

Here,

=> 16.2 = (sum of ages of boys)/18

=> 16.2 x 18 = sum of ages of boys

=> 291.6 = sum of ages of boys

Similarly, sum of ages of girls = 27 x 16.7 = 450.9

Mean(total) = (sumof agesof boys + girls)/45

Mean = (291.6 + 450.9)/45 = 16.5

3 0

3 years ago

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Challenge

Katen [24]

Answer:

a). Distance from the surface of miner elevator=532 feet, Distance from the surface of equipment elevator=60 feet

b). The miner elevator is deeper since it is 472 feet deeper than the equipment elevator

Step-by-step explanation:

Equipment elevator speed=4 feet per second

Miner elevator=14 feet per second

Total time of miner elevator=(23+15)=38 seconds

Total time of equipment elevator=15 seconds

a). Distance from the surface of each elevator

Distance from the surface of miner elevator=Miner Speed×Miner Time

Distance=(14×38)=532 feet

Distance from the surface of equipment elevator=Equipment Speed×Equipment Time

Distance=(15×4)=60 feet

b). Which elevator is deeper

Distance from the surface of miner elevator=532 feet

Distance from the surface of equipment elevator= 60 feet

Difference=(532-60)=472 feet

The miner elevator is deeper since it is 472 feet deeper than the equipment elevator

5 0

4 years ago

Find the exact circumference of the circle. please help?​

Find the exact circumference of the circle. please help?