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3 years ago

10

in a regular polygon each interior angle is 140 greater than each exterior angle calculate the number of sides of each polygon .

1 answer:

Elodia [21]3 years ago

6 0

Answer:

9

Step-by-step explanation:

Exterior sides = 180 - 140 = 40

number of sides = 360 / 40 = 9 sides

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Find the length to the nearest centimeter of the diagonal of a square 30 cm. on a side

tiny-mole [99]

Answer:

42 cm.

Step-by-step explanation:

Please find the attachment.

Let x be the length of diagonal of the square.

We have been given that length of each side of a square is 30 cm. We are asked to find the length of the diagonal of square to the nearest centimeter.

We can see from our diagram that triangle AC is the diagonal of our square.

Since all the interior angles of a square are right angles or equal to 90 degrees, so we will use Pythagoras theorem to find the length of diagonal.

$AC^2=AD^2+DC^2$

Upon substituting our given values in above formula we will get,

$x^2=(30\text{ cm})^2+(30\text{ cm})^2$

$x^2=900\text{ cm}^2+900\text{ cm}^2$

$x^2=1800\text{ cm}^2$

Let us take square root of both sides of our equation.

$x=\sqrt{1800\text{ cm}^2}$

$x=42.4264\text{ cm}\approx 42\text{ cm}$

Therefore, the length of diagonal of our given square is 42 cm.

8 0

3 years ago

Here's the question: You have an electrical circuit with various components, all of which are in series. The current (I) through

vredina [299]

Answer:Magnitude of voltage is 41.9963 volts

Step-by-step explanation:

Given that current I =5.772-5.323i mA

and impedance, Z=3.342+4.176i kilo ohms

Then voltage in the circuit = IZ

$=(5.772-5.323i)X10^{-3}X(3.342+4.176i)X10^{3}$

$V=(5.772-5.323i)X(3.342+4.176i)$

$V=19.290024+24.103872i-17.789466i-23..5148848i^{2}$

$V=41.518892+6.314406i$

Magnitude of V = $\sqrt{41.518892^{2} +6.314406^{2} }=\sqrt{1763.6901}=41.9963volts$

7 0

3 years ago

(3x²+6)(3x²-6) please help

givi [52]

Answer:

9x^4 -36

Step-by-step explanation:

see image below:)

4 0

2 years ago

Roger picked 56 berries in 8 minutes. At that rate, how many berries did he pick in 1 minute?

Veseljchak [2.6K]

Answer:

7

Step-by-step explanation:

58 divided by 8 is 7

4 0

3 years ago

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Work out the area of a rectangle of dimensions 4 cm by 8cm

dedylja [7]

Area = 4 cm * 8 cm = 32 cm²

5 0

3 years ago

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