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Oksana_A [137]
3 years ago
11

What is the sum of the angle measures in a 22-gon? 360° 2,200° 3,600° 3,960°

Mathematics
1 answer:
Elina [12.6K]3 years ago
4 0

Answer:

Option 3rd is correct

the sum of the interior angles measures in a 22-gon is, 3600°

Step-by-step explanation:

Sum of the interior angles of a polygon of n -sides is given by:

\tetx{Sum} = (n-2) \times 180^{\circ}        ....[1]

As per the statement:

Given that:

n = 22-gon

Substitute in [1] we have;

\text{Sum} = (22-2) \times 180^{\circ}

⇒\text{Sum} = 20 \times 180^{\circ}

⇒\text{Sum} =3600^{\circ}

Therefore, the sum of the interior angles measures in a 22-gon is, 3600°

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Volume and surface area are often compared by manufacturers in order to maximize how much of something can go inside of a packag
notka56 [123]
We have no dimensions to work with. I'll pick some and try and comply with the conditions of the problem. 

Suppose you have an object that is 14 by 22 by 27 cm. These three numbers have no common factor so they cannot be reduced any further, which is helpful for this problem.

Find the Volume
Volume

l = 27 cm
w = 14 cm
h = 22 cm

V = 27 *14 * 22
V = 8316 cm^3

Find the surface area
SA = 2*l*w + 2*l*h  + 2*w*h
SA = 2*27*14  +  2*27*22   +  2*14*22
SA = 756 + 1188 + 616
SA = 2558

Just looking at these numbers The surface area is about 1/3 of the volume. I don't think this is always true.


 \frac{SA}{V} =  \frac{2*L*W  + 2*L*H + 2*W*H}{L*W*H} 

Another way to do this is to consider a cube which might give you a more useful result. 

s = L = W = H all three dimensions are equal in a cube.
The volume of a cube is s*s*s = s^3
The surface area of a cube is 2*s*s + 2*s*s + 2s*s = 6s^2

\frac{SA_cube}{V_cube} =  \frac{6s*s}{s*s*s}
\frac{SA}{V} =  \frac{6}{s}

That means whatever the side length, the Surface Area to volume = 6/the side length which is kind of an interesting result.


4 0
3 years ago
Find the distance between the two points in simplest radical form.
Jlenok [28]

Answer:

d=\sqrt{58}\approx7.6

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2

Our first point, A, is at (1, 1) and our second point, B, is at (-2, 8).

Let's let A(1, 1) be (x₁, y₁) and B(-2, 8) be (x₂, y₂). Substitute this into the distance formula:

d=\sqrt{(-2-1)^2+(8-1)^2

Subtract:

d=\sqrt{(-3)^2+(7)^2

Square:

d=\sqrt{9+49}

Add:

d=\sqrt{58}

This cannot be simplified.

So, the distance between the two points is √58 or about 7.6 units.

And we're done!

So... where's my cookie :)?

6 0
3 years ago
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Greeley [361]

Answer:

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3 years ago
Roselyn is driving to visit her family, which live 150 150150 kilometers away. Her average speed is 60 6060 kilometers per hour.
Sauron [17]

Answer:

She can go 120 km before she runs out of fuel

It will take 2 hours.

Step-by-step explanation:

150 km is the distance

60 km/ h is the speed

The gas tank is 20 liters

We can go 6 km per liter

Fuel costs .60 dollars per liter

We need to determine how far she can go on a tank of gas

20 liters * 6 km / liter = 120 km

She can go 120 km before she runs out of fuel

120 km  = 60 km/ h  *  x hours

Divide each side by 60

120/60 = x

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8 0
3 years ago
adrian wants to buy a set of 6 sets of wireless headphones he does not want to spend over $360.how much can he spend per set of
Alex787 [66]

$60 is the absolute maximum he can spend!

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3 years ago
Read 2 more answers
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