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3 years ago

Given a circle with a diameter of 4, which equation expresses π as the ratio of the circumference of a circle to its diameter?

Mathematics

2 answers:

MariettaO [177]3 years ago

6 0

Answer:

$\frac{C}{4} = \pi$

Step-by-step explanation:

Circumference(C) of a circle is given by:

$C = 2 \pi r$ ....[1]

where, r is the radius of the circle.

As per the statement:

Given a circle with a diameter of 4.

We know that:

Diameter(D) = 2r

⇒2r = 4

Substitute the value in [1] we have;

$C = \pi \cdot (2r)$

⇒ $C =4\pi$

Divide both sides by 4 we have;

$\frac{C}{4} = \pi$

Therefore, the the ratio of the circumference of a circle to its diameter is, $\frac{C}{4} = \pi$

julsineya [31]3 years ago

5 0

Your answer would be C/4 = π.

Pi is the ratio of a circle's circumference to its diameter.

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When you finally retire, you want to be able to draw from an account an annual salary of $100,000 for 20 years. Approximately ho

tankabanditka [31]

PV = P(1 - (1 + r)^-n) / r; where P is the periodic withdrawal = $100,000; r = rate = 5% = 0.05; n = number of periods = 20 years.

PV = 100000(1 - (1 + 0.05)^-20) / 0.05 = 100000(1 - 1.05^-20) / 0.05 = 100000(1 - 0.3769) / 0.05 = 100000(0.6231) / 0.05 = 100000(12.4622) = 1,246,221 ≈ $1,250,000

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3 years ago

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let f(x)= p+ 8/x-q. the line x=4 is a vertical asymptote to the graph of f. what is the value of q and p, if the y intercept is

svlad2 [7]

Answer:

The value of q and p is 4 and -24 respectively.

Step-by-step explanation:

Being $f(x)=\frac{p+8}{x-q}$ , the line x=4 is a vertical asymptote to the graph of f(x). The line r is an asymptote of a function if the graph of the function is infinitely close to the line r. That is, an asymptote is a line to which a function approaches indefinitely, without ever touching it.

Being a rational function that which can be expressed as the quotient of two polynomials, a vertical asymptote occurs when the denominator is 0, that is, where the function is not defined. In this case:

x - q= 0

Solving:

x= q

Being the line x=4 the vertical asymptote, then

4=q

Then the function f (x) is:

$f(x)=y=\frac{p+8}{x-4}$

The y intercept is (0,4). This is, x= 0 and y=4. Replacing:

$4=\frac{p+8}{0-4}$

Solving:

$4=\frac{p+8}{-4}$

4*(-4)= p+8

-16= p+8

-16 - 8= p

-24= p

The value of q and p is 4 and -24 respectively.

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3 years ago

Kiteretsuki builds a robot to help him paint a fence. The robot has a paint roller of width 1 foot, that works like a ball-point

balandron [24]

Answer:

72 inches

Step-by-step explanation:

Due to the programming error, the robot first moves to the right and then to the left. The second time it moves to the right, it increases its distance by 1 foot to the right and then turns back and moves to the left, reaching the starting position again.

The patterns is as follows:

move 1: moves to the right by 1 foot.

moves 2: moves to the left.

moves 3: moves to the right by 2 feet.

moves 4: moves to the left

moves 5: moves to the right by 3 feet.d

moves 6: moves to the left

moves 7: moves to the right by 4 feet.

moves 8: moves to the left

moves 9: moves to the right by 5 feet.

moves 10: moves to the left

moves 11: moves to the right by 6 feet.

We see that in the end, the robot has managed to only move 6 ft. Since 1 ft = 12 inches, 6 ft = 6* 12 = 72 ft.

So, the robot has painted 72 inches of the fence before Kiteretsuki returns.

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3 years ago

A store manager predicts that 150 blankets will be sold if each blanket

Sever21 [200]

Answer:

$47

Step-by-step explanation:

Given: Store manager have predicted that 150 blanket can be sold at $32 each.

Also he has predicted sales of 2 blanket will decrease with $1 increase in price.

Now, finding price at which 120 blanket can be sold.

As we know cost of 150 blanket is $32 and we are finding for 120 blanket, which mean we have to increase price to decrease sales.

∴ $150-120 = 30\ blankets$

Using unitary method to find correct price.

For 2 decrease in sales = $1 increase in price

∴ 30 decrease in sales of blanket = $15 increase in price

Next, price of 120 blanket = $Price of 150\ blanket + increase\ in\ price$

Price\ of\ 120\ blanket = $32+15 = \$ 47$

∴ $47 should be the price for at least 120 blanket to be sold.

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3 years ago

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nekit [7.7K]

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