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3 years ago

A circle with a radius of 3cm sits inside a circle with a radius of 11cm.

Mathematics

1 answer:

lozanna [386]3 years ago

8 0

Answer:

Area of shaded region = 351.68 cm²

Step-by-step explanation:

Area of a circle = πr²

where r = radius = 3.14

Area of bigger circle = 3.14 × 11²

= 3.14 × 11 × 11

= 379.94cm²

Area of smaller circle = 3.14 * 3²

= 3.14 × 3 × 3

= 28.26cm²

Area of shaded region = Area of bigger circle - Area of smaller circle

= (379.94 - 28.26) cm²

= 351.68 cm²

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Draw at least six different sized rectangles that have an area of 64 square units

olga_2 [115]

Let

x------> the length of the rectangle

y------> the width of the rectangle

we know that

The area of a rectangle is equal to

$A=x*y$

$A=64\ units^{2}$

$x*y=64$ --------> equation 1

let's assume different values of x to get the different values of y

case 1) For x=64 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/64$

$y=1\ units$

the dimensions of the rectangle are 64 units x 1 unit

see the draw in the attached figure N 1

case 2) For x=32 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/32$

$y=2\ units$

the dimensions of the rectangle are 32 units x 2 units

see the draw in the attached figure N 2

case 3) For x=16 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/16$

$y=4\ units$

the dimensions of the rectangle are 16 units x 4 units

see the draw in the attached figure N 3

case 4) For x=30 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/30$

$y=\frac{32}{15} =2\frac{2}{15} \ units$

the dimensions of the rectangle are 30 units x 2 (2/15) units

see the draw in the attached figure N 4

case 5) For x=40 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/40$

$y=1.60\ units$

the dimensions of the rectangle are 40 units x 1.60 units

see the draw in the attached figure N 5

case 6) For x=60 units

substitute in the equation 1

$x*y=64$

$y=64/x$

$y=64/60$

$y=\frac{16}{15} =1\frac{1}{15} \ units$

the dimensions of the rectangle are 60 units x 1 (1/15) units

see the draw in the attached figure N 6

3 0

3 years ago

How do you do inequalities

fgiga [73]

So some quick tips for inequalities:
**What you do to one side you HAVE TO do it to the other 2**
**If you ever divide a negative number past the inequality signs, the signs FLIP!!**
(e.g. 2>-5x>25)
-2/5 <x < -5

I hope that this has helped!

8 0

2 years ago

<img src="https://tex.z-dn.net/?f=%20-%205%282y%20-%208%29%20-%203%281%20%2B%20x%29%20-%207" id="TexFormula1" title=" - 5(2y - 8

Andre45 [30]

-(2y-8)-3(1+x)-7
-10y+40-3(1-x)-7
-10y+40-3-3x-7
-10y+30-3x

5 0

3 years ago

Read 2 more answers

Find the number of positive integers n is less than or equal to 1000 such that 15n is a perfect square.

boyakko [2]

Answer:

8 positive integers.

Step-by-step explanation:

One value of n would be 15 because 225 = 15^2.

Other values are 225 * n where 15n <= 1000 and n is a perfect square.

So n = 4 gives us 225* 4 = 900 which is a perfect square and 15*4 = 60.

n = 9 gives us 225 * 9 which is a perfect square and 15*9 = 135.

n = 16 gives us 225*16 and 15*16 = 240 , so OK.

n = 25 gives a perfect square and and 15*25 = 375 - so OK.

n = 36 gives a perfect square and 15*36 = 540 - so OK.

n = 49 gives a perfect square and 15*49 = 735 - so OK.

n = 64 gives a perfect square and 15*64 = 960 - so ok.

n = 81 gives a perfect square and 15 * 81 = 1215 so NOT ok.

3 0

3 years ago

Raul bought a soft drink and a sandwich for $9.90 . Which is he price of each if the sandwich cost 3.5 times as much as the soft

Radda [10]

B. Sandwich costs $7.70 and the soda costs $2.20

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3 years ago