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4 years ago

1+1=2 2=2=8 3=3=18 4+4=?

Mathematics

1 answer:

Aloiza [94]4 years ago

4 0

32
Because
1 times 1=1 ,1plus1=2
2 times 2=4,4plus4=8
3 times 3=9,9plus9=18
4times4=16,16plus16=32

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For the figures below, assume they are made of semicircles, quarter circles and squares. For each shape, find the area and perim

Marina86 [1]

Area of the shaded region $$=36(\pi -2)$ square cm

Perimeter of the shaded region $=6 (\pi + 2\sqrt 2)$ cm

Solution:

Radius of the quarter of circle = 12 cm

Area of the shaded region = Area of quarter of circle – Area of the triangle

$$=\frac{1}{4} \pi r^2 - \frac{1}{2} bh$

$$=\frac{1}{4} \pi \times 12^2 - \frac{1}{2} \times 12 \times 12$

$$=36\pi -72$

$$=36(\pi -2)$ square cm.

Area of the shaded region $$=36(\pi -2)$ square cm

Using Pythagoras theorem,

$AC^2=AB^2+BC^2$

$AC^2=12^2+12^2$

$AC^2=288$

Taking square root on both sides of the equation, we get

$AC= 12\sqrt 2$ cm

Perimeter of the quadrant of a circle = $\frac{1}{4} \times 2\pi r$

$$=\frac{1}{4} \times 2 \times \pi \times 12$

$$=6 \pi$ cm

Perimeter of the shaded region = $6 \pi + 12\sqrt 2$ cm

$=6 (\pi + 2\sqrt 2)$ cm

Hence area of the shaded region $$=36(\pi -2)$ square cm

Perimeter of the shaded region $=6 (\pi + 2\sqrt 2)$ cm

6 0

3 years ago

Find the measure of angle x. A) 90° B) 45° C) 135° D) 180°

tiny-mole [99]

The angles of a triangle always equal 180.

You do 180 - 80 - 45. X = 45.

8 0

3 years ago

The volume of a sphere is 36π in³. What is the radius of the sphere?

Inessa05 [86]

36pi = 4/3 * pi * r^3
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4 years ago

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Write an expression for four times the product of -9 and x and then simplify it.

katrin2010 [14]

4(-9*x)

Multiply the two numbers
-36x

Final answer: -36x

5 0

3 years ago

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The area of the square, the

const2013 [10]

Answer:

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.

Please have a look at the attached photo.

My answer:

As given in the question, we know that:

The ratio of the area of the circle to the area of the square is π/4

The formula to find the volume of the cone is:

V = 1/3*the height*the base area

<=> V1 = 1/3*h*π $r^{2}$

The formula to find the volume of the pyramid is:

V2 = 1/3*the height*the base area

<=> V = 1/3*h*4 $r^{2}$

=> the ratio of volume of the cone to the pyramid is:

= $\frac{V1}{V2}$

= (1/3*h*π $r^{2}$ ) / ( 1/3*h*4 $r^{2}$ )

= π/4

S we can conclude that the volume of the cone equals π/4 the volume of the pyramid

Hope it will find you well.

7 0

3 years ago