All categories

3 years ago

Can someone please help me solve this and find the answer? Thanks so much!

Mathematics

1 answer:

lisabon 2012 [21]3 years ago

5 0

Your answer is 8.626
Because it's a square, you know that each side is 8 because √64 = 8. This also tells you that the radius of each of the outer circles is 4.
Because each side of the square is 8, you can use Pythagoras' Theorem to find the diagonal, and do 8² + 8² = 64 + 64 = 128, so √128 is the diagonal (I'm leaving it in surd form because it's a pretty long number). You first need to divide √128 by 2, because you're trying to find the radius of circle O, so that gives you 5.657.
Because you know that the radius of the outer circle is 4, you can subtract 4 from this and get 1.657 as your radius. Now, we can use this to find the area of the circle by doing π × 1.657² = 8.626.

I hope this helps!

You might be interested in

Write the equation of the line perpendicular to 4x – 5y = -10 through the point (2, 3). Write the equation in slope intercept fo

user100 [1]

I hope this helps you

7 0

3 years ago

Help me please that’s easy but....

grin007 [14]

Let's resolve the powers of 10 to make them comparable

47000

45000

5000

280000

125000

Now you can see the largest is 280000 and the smallest is 5000

Their difference is 280000 - 5000 = 275000

4 0

2 years ago

Find the integration of (1-cos2x)/(1+cos2x)

slega [8]

Given:

The expression is:

$\dfrac{1-\cos 2x}{1+\cos 2x}$

To find:

The integration of the given expression.

Solution:

We need to find the integration of $\dfrac{1-\cos 2x}{1+\cos 2x}$ .

Let us consider,

$I=\int \dfrac{1-\cos 2x}{1+\cos 2x}dx$

$I=\int \dfrac{2\sin^2x}{2\cos^2x}dx$ $[\because 1+\cos 2x=2\cos^2x,1-\cos 2x=2\sin^2x]$

$I=\int \dfrac{\sin^2x}{\cos^2x}dx$

$I=\int \tan^2xdx$ $\left[\because \tan \theta =\dfrac{\sin \theta}{\cos \theta}\right]$

It can be written as:

$I=\int (\sec^2x-1)dx$ $[\because 1+\tan^2 \theta =\sec^2 \theta]$

$I=\int \sec^2xdx-\int 1dx$

$I=\tan x-x+C$

Therefore, the integration of $\dfrac{1-\cos 2x}{1+\cos 2x}$ is $I=\tan x-x+C$ .

8 0

2 years ago

PLEASE HELP you just have to help with a few

vagabundo [1.1K]

<h3><em>Answers:</em></h3><h2 /><h2>1/4 + 2/3 =11/12</h2><h2 /><h2>2/5-1/10= 3/10</h2><h2 /><h2>1/6+1/4=5/12</h2><h2 /><h2>5/8-1/4=3/8</h2><h2 /><h2>7/8-1/2=3/8</h2><h2 /><h2>3/10+4/5=11/10 or 1 1/10</h2><h2 /><h2>5/6-2/5=3/5</h2><h2 /><h2>5/12-1/4=1/6</h2><h2 /><h2>7/16+1/8=9/16</h2><h2 /><h2>11/16+5/8=21/16 or 1 5/16</h2><h2 /><h2>2/7+1/2=11/14</h2><h2 /><h2>4/5+3/4=31/20 or 1 11/20</h2>

3 0

2 years ago

A machine worked for 5 hours and used 4 kilowats if electricity. The machine used ------ of a kilowatt each hour it worked.

slega [8]

Answer:

0.8 kilowatt/hour

Step-by-step explanation:

divide 4/5, gives you .

8 0

3 years ago