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2 years ago

The area of a circle = 64π. Find circumference.

Mathematics

1 answer:

Andrew [12]2 years ago

4 0

Answer:

Area = 16π

Step-by-step explanation:

Area of a circle = πr^2

= 64π

= sqrt64

r = 8 because 8 × 8 is 64

Radius = 8

Now, use the circumference equation:

= 2πr

= 2π(8)

= 16π

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You bake 42 chocolate cupcakes and 28 red velvet cupcakes.You package them in boxes that have the same ratio of chocolate to red

blondinia [14]

Answer: 16 red velvet cupcakes.

Step-by-step explanation:

To solve this problem you can apply the following proccedure:

- Let's call the number of red velvet cupcakes in a box that has 24 chocolate cupcakes: $x$

- Based on the information given in the problem, you can set up the following proportion and Solve for $x$ <em>:</em>

$\frac{42}{28}=\frac{24}{x}\\\\1.5x=24\\x=16$

There are 16 red velvet cupcakes in a box that has 24 chocolate cupcakes.

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3 years ago

How long is 33 inches added to 4 feet 7 inches? *

Anton [14]

Answer:

Step-by-step explanation:

33 plus 55

4 0

3 years ago

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Round 87,365,219 to the nearest million

OLga [1]

Answer:

87 000 000

Step-by-step explanation:

3 0

2 years ago

You bike 1 mile the first day of your training, 1.3 miles the second day, 1.9 miles the third day, and 3.1 miles the fourth d

JulsSmile [24]

Answer:

19.9 miles

Step-by-step explanation:

In this problem we have:

$d_1=1 mi$ is the distance travelled during the 1st day

$d_2=1.3 mi$ is the distance travelled during the 2nd day

$d_3=1.9 mi$ is the distance travelled during the 3rd day

$d_4=3.1 mi$ is the distance travelled during the 4th day

We notice that the difference between the distance travelled on the (n+1)-th day and the distance travelled on the n-th day doubles every day. In fact:

$d_2-d_1=0.3\\d_3-d_2=2\cdot 0.3 = 0.6\\d_4-d_3=2\cdot 0.6 = 1.2$

Which can be rewritten using the general formula:

$d_{n+1}-d_n=2(d_n-d_{n-1})$

This means that

$d_{n+1}=d_n+2(d_n-d_{n-1})$

By applying this formula recursively, we can find the 7th term, which is the distance travelled on the 7th day:

$d_1=1\\d_2=1.3\\d_3=1.9\\d_4=3.1\\d_5=3.1+2\cdot 1.2=5.5\\d_6=5.5+2\cdot 2.4=10.3\\d_7=10.3+2\cdot 4.8=19.9 mi$

So, the distance travelled on the 7th day is 19.9 miles.

7 0

3 years ago

PLEASE HELP (100 POINTS)

Artyom0805 [142]

$\\ \rm\Rrightarrow f(x)=-5cos\dfrac{x}{2}+5$

Compare to standard equation of SHM

$\\ \rm\Rrightarrow y=Acos(\omega x+\phi)$

Here

Amplitude=A=-5

$\\ \rm\Rrightarrow \omega x=\dfrac{x}{2}$

$\\ \rm\Rrightarrow \omega=1/2$

Well the above one are for extra knowledge .

Solution:-

$\\ \rm\Rrightarrow 10=-5cos\dfrac{x}{2}+5$

$\\ \rm\Rrightarrow 10-5=-5cos\dfrac{x}{2}$

$\\ \rm\Rrightarrow 5=-5cos\dfrac{x}{2}$

$\\ \rm\Rrightarrow cos\dfrac{x}{2}=-1$

$\\ \rm\Rrightarrow \dfrac{x}{2}=cos^{-1}(-1)$

$\\ \rm\Rrightarrow \dfrac{x}{2}=\pi$

$\\ \rm\Rrightarrow x=2\pi$

So.

$\\ \rm\Rrightarrow x=2\pi+2\pi n$

3 0

2 years ago

Read 2 more answers