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3 years ago

The radius of a circle is 8 cm. Find the circumference of the circle. Use 3.14 for Pi.

Mathematics

2 answers:

Llana [10]3 years ago

7 0

Answer:

Hello! answer: 50.24

Step-by-step explanation:

To find circumference you just have to do diameter × pi Since we arent given the diameter we have to figure it out BUT REMEMEBER diameter is just twice the radius so 8 × 2 = 16 so 16 is our diameter! Now we just multiply that by pi so 16 × 3.14 = 50.24 So 50.24 is the circumference! Hope this helps!

9966 [12]3 years ago

6 0

Answer:

50.24 cm

Step-by-step explanation:

For the easier computation of a circle's circumference, pi's value is taken to be 3.14 (π = 3.14). Let's see a few examples below to polish the concept of the circumference. Find the circumference of the circle with a radius of 8 cm. = 50.24 cm.

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The height of a baseball in feet x seconds after a batter hits it can be represented by the function f(x)=−2x2+10. How many feet

s344n2d4d5 [400]

Answer:

So, at 2 seconds the baseball reaches its maximum height and its maximum height is 69 feets.

Step-by-step explanation:

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3 years ago

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Which is the graph of f (x) = 4 (1/2) Superscript x?

miss Akunina [59]

Answer:

Option (2) is correct graph.

Step-by-step explanation:

Given:

The function to graph is given as:

$f(x)=4(\frac{1}{2})^x$

Now, the above function is an exponential function of the form $f(x)=ka^x$

Where, 'k' and 'a' are constants.

The range of an exponential function is always greater than 0.

The domain is all real numbers.

Now, for graphing it, we need to find some points on it and its end behaviour.

Now, for x = 0, the function value is given as:

$f(0)=4(\frac{1}{2})^0=4$

So, (0, 4) is a point on the graph.

Now, for x = 1, the function value is given as:

$f(1)=4(\frac{1}{2})^1=4\times\frac{1}{2}=2$

So, (1, 2) is another point on the graph.

Now, for x = 2, the function value is given as:

$f(2)=4(\frac{1}{2})^2=4\times\frac{1}{4}=1$

So, (2, 1) is another point on the graph.

Now, as 'x' tends to ∞, the function value tends to:

$f(x\to\infty)=4\cdot\frac{1}{2}^{\infty}=\frac{4}{\infty}=0$

So, as

$x\to\infty,f(x)\to0\\\\x\to-\infty,f(x)\to\infty$

Now, from among all the options, only option (2) fulfills all the conditions given above.

So, option (2) is correct graph.

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4 years ago

Area of the living room is 180 square feet and the perimeter is 54 feet. What are the dimensions in feet?

dolphi86 [110]

Answer.....15ft by 12ft

Explanation:

Area = Length × Width

180 = LW....make W the subject of formula

;W = 180/L

Perimeter = 2L + 2W

54 = 2L + 2(180/L)...sub W with the formula above...

then simplify the equation and obtain...

2L^2 - 27L + 180 = 0....then solve using the quadratic formula....then obtain..

;L = 15ft....after obtaining L = 15...then substitute into the W = 180/L equation...

where W = 180/15 = 12ft

there you have...Length = 15ft and Width = 12ft

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3 years ago

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Nataliya [291]

Hello

Answer:

28.378

Explanation:

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3 years ago

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Two buses leave towns 304 miles apart at the same time and travel toward each other. One bus travels 14 mih slower than the othe

8090 [49]

Answer:

The faster bus moves at 83mi/h and the slower one moves at 69mi/h.

Step-by-step explanation:

Let's define:

R₁ = rate of bus 1, this is the faster one.

R₂ = rate of bus 2, this is the slower one.

We know that one bus travels 14mi/h slower, then:

R₂ = R₁ - 14mi/h.

Now we know that:

Distance = Speed*Time.

If we add the distances that both busses travel in 2 hours, it should be equal to the initial distance between the buses, then:

R₁*2h + R₂*2h = 304 mi

Then we have the two equations:

R₂ = R₁ - 14mi/h

R₁*2h + R₂*2h = 304 mi

The first step is to replace the first equation in the second one, to get:

R₁*2h + (R₁ - 14mi/h)*2h = 304 mi

And now we can solve this for R₁.

R₁*2h + R₁*2h - 14mi/h*2h = 304 mi

R₁*4h - 28mi = 304mi

R₁*4h = 304mi + 28mi = 332mi

R₁ = 332mi/4h = 83mi/h

The faster bus moves at 83mi/h

And we know that the slower one moves at 14mi/h slower than this, then:

R₂ = R₁ - 14mi/h = 83mi/h - 14mi/h = 69 mi/h

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3 years ago