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3 years ago

Using arc length formula find s when r=24 and θ=π/2 48π 24π 12π

Mathematics

2 answers:

bulgar [2K]3 years ago

6 0

Answer:

12π

Step-by-step explanation:

The formula for arc length is given as:

$s = \frac{\theta}{360\degree} \times 2\pi r$

Plug r = 24 and θ=π/2 in the above formula, we fi d:

$s = \frac{\frac{\pi}{2}}{360\degree} \times 2\pi \times 24\\\\s = \frac{\frac{\pi}{2}}{2 \pi} \times 48\pi\\\\s = \frac{\pi}{2\times 2 \pi} \times 48\pi \\\\s = \frac{\pi}{4\pi} \times 48\pi \\\\\huge \purple {\boxed{s = 12\pi}} \\$

Nutka1998 [239]3 years ago

5 0

Step-by-step explanation:

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if frans fudge recipe calls for 2 1/2 cups of sugar and she increases it by 2/5 of a cup, how much sugar does she use

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She uses 2 9/10 cups of sugar

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3 years ago

You and a friend start biking in opposite directions from the same point. You travel 108 feet every 8 seconds. Your friend trave

kkurt [141]

Answer:

You and your friend are about 2.09 miles apart after 15 minutes.

Step-by-step explanation:

To find your distance apart, you can convert 15 minutes to seconds because that is what the rate is given in.

15 mins x 60 seconds = 900 seconds.

In 900 seconds, there are 900/8=112.5 groups of 8 seconds. This means there are 112.5 groups of 108 feet.

112.5 x 108 = 12150 feet

12150 feet/5280 feet is approximately 2.3 miles.

For your friend you take 900/6 = 150 groups of 6 seconds.

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You and your friend are about 2.09 miles apart after 15 minutes.

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3 years ago

Using the following equation, find the center and radius: x2 −2x + y2 − 6y = 26 (5 points)

Lisa [10]

Answer:

Center: (1,3)

Radius: 6

Step-by-step explanation:

Hi there!

$x^2-2x + y^2 - 6y = 26$

Typically, the equation of a circle would be in the form $(x-h)^2+(y-k)^2=r^2$ where $(h,k)$ is the center and $r$ is the radius.

To get the given equation $x^2-2x + y^2 - 6y = 26$ into this form, we must complete the square for both x and y.

1) Complete the square for x

Let's take a look at this part of the equation:

$x^2-2x$

To complete the square, we must add to the expression the square of half of 2. That would be 1² = 1:

$x^2-2x+1$

Great! Now, let's add this to our original equation:

$x^2-2x+1+y^2-6y = 26$

We cannot randomly add a 1 to just one side, so we must do the same to the right side of the equation:

$x^2-2x+1+y^2-6y = 26+1\\x^2-2x+1+y^2-6y = 27$

Complete the square:

$(x-1)^2+y^2-6y = 27$

2) Complete the square for y

Let's take a look at this part of the equation $(x-1)^2+y^2-6y = 27$ :

$y^2-6y$

To complete the square, we must add to the expression the square of half of 6. That would be 3² = 9:

$y^2-6y+9$

Great! Now, back to our original equation:

$(x-1)^2+y^2-6y+9= 27$

Remember to add 9 on the other side as well:

$(x-1)^2+y^2-6y+9= 27+9\\(x-1)^2+y^2-6y+9= 36$

Complete the square:

$(x-1)^2+(y-3)^2= 36$

3) Determine the center and the radius

$(x-1)^2+(y-3)^2= 36$

$(x-h)^2+(y-k)^2=r^2$

Now, we can see that (1,3) is in the place of (h,k). 36 is also in the place of r², making 6 the radius.

I hope this helps!

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3 years ago

Read 2 more answers

Please help me ! Thank you so much if you do .

FinnZ [79.3K]

What is the opinions? For the drop down menu. :)

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Answer:

Answer is $110.25. You figure out how.

Step-by-step explanation:

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