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3 years ago

The diagram shows a circle inscribed in a square.

Mathematics

1 answer:

beks73 [17]3 years ago

5 0

Answer:

Step-by-step explanation:

first lets find the area of the square

A=l*w

12*12=144 m^2

then lets find the are of the circle

A=pi*r^2

A=3.14*(d/2)^2

the diameter of the circle is 12m

A=3.14*(12/2)^2

A=3.14*(6)^2

A=3.14*36

A=113.04 m^2

Now, lets subtract the area of the circle form the area of the square

144-113.04= 30.96 m^2

So, the answer is A

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How to write 32,005,008 in two forms

Marianna [84]

In words: thirty two million, five thousand and eightin
expanded notation: 30 000 000 + 2 000 000 + +0 + 0 + 5000 + 0 + 0 + 8

7 0

3 years ago

What is 4x less than or equal to 12

mihalych1998 [28]

3 x 4 is equal to 12 I think that’s your answer

8 0

3 years ago

I NEED HELP PLEASE, THANKS! :)

Alenkasestr [34]

Answer:

Option A

Step-by-step explanation:

This is a great question!

The first thing we want to do here is to graph the system of " inequalities " -

$\begin{bmatrix}2x+9y\le \:100\\ 9x+y\le \:54\end{bmatrix}$

As x is ≥ 0, respectively y ≥ 0, it makes things a lot simpler, as it kind of restricts us to quadrant 1, but not entirely.

First change each inequality to " slope - intercept " form, as such -

$2x + 10y \leq 100,\\10y \leq 100 - 2x,\\y \leq - 1 / 5x + 10\\----------\\9x + y \leq 54,\\y \leq - 9x + 54$

The graphed solutions would be in the attachment. I have colored the region with which the two intersect, and the fact that we are limited to quadrant 1. In this colored region there are 3 major points, ( 5, 9 ), ( 0, 10 ), and ( 6, 0 ). We have to determine which of these are are maximum points, as the minimum are the same. Substitute these values ( ( 5, 9 ), ( 0, 10 ), and ( 6, 0 ) ) into the equation f( x, y ) = 10x + 4y,

$f ( x, y ) = 10( 5 ) + 4( 9 ),\\f ( x, y ) = 86 -\\f ( x, y ) = 10( 0 ) + 4( 10 ),\\f ( x, y ) = 40 -\\f ( x, y ) = 10( 6 ) + 4( 0 ),\\f ( x, y ) = 60$

( 5, 9 ) resulted in the greatest amount, 86. That would make it our maximum point -

Solution = Option A

3 0

4 years ago

What is the solution to the equation? X/3 = 2x -1

pav-90 [236]

Answer:

x = 3/5

Step-by-step explanation:

multiply the equation by 3 --> (x/3 = 2x-1) x 3

x = 6x - 3

-5x = -3

x = 3/5

3 0

4 years ago

A jet travels 4680 miles against the wind in eight hours and 5720 miles in the wind in the same amount of time what is the rate

Kryger [21]

9514 1404 393

Answer:

jet: 650 mph
wind: 65 mph

Step-by-step explanation:

The speed against the wind is ...

4680 mi/(8 h) = 585 mi/h

The speed with the wind is ...

5720 mi/(8 h) = 715 mi/h

The speed of the airplane in still air is the average of these speeds:

(585 +715)/2 = 650 mi/h . . . speed in still air

The speed of the wind is the difference between the airplane speed and the speed in the wind:

715 -650 = 65 mi/h . . . speed of the wind

_____

Additional comment

If p and 'a' represent the speeds of the plane and the air, the speeds with and against the wind are ...

p + a = with

p - a = against

If we average these, we get ...

((p +a) +(p -a))/2 = (with + against)/2

p = (with + against)/2 . . . . . . . the formula we used above

8 0

3 years ago