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2 years ago

The sum of the measures of the interior angles of a polygon is 1440 How many sides does it have ________ sides

2 answers:

8 0

The only shape that has that much is a decagon 10 sides. the sum of the interior angles of a Regular Decagon is 1440 degrees.

kvasek [131]2 years ago

3 0

To do this sum and to understand angles in polygons let's start at a triangle this has 180 deg,a square has 360 deg,a pentagon has 540 deg. Every time we add a side we add 180 deg. This finally accumulates to 1440 on a ten sided figure.

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What is the volume in cubic inches of the cylinder, rounded to the nearest cubic inch?

son4ous [18]

$\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=9\\ h=7 \end{cases}\implies V=\pi (9)^2(7) \\\\\\ V=\pi (81)(7)\implies V=567\pi \implies V\approx 1781.28\implies \stackrel{\textit{rounded up}}{V=1781}$

7 0

3 years ago

6 $44 is shared between David, Jo and Mary in the ratio 2:3:5 How much does each receive?

OverLord2011 [107]

Answer:

David=$8.8

Jo=$13.2

Mary=$22

Step-by-step explanation:

2+3+5=10

44/10=4.4

David=4.4x2=$8.8

Jo=4.4x3=$13.2

Mary=4.4x5=$22

8.8+13.2+22=44

8 0

3 years ago

Simplify the expression below.

Degger [83]

Answer:

6x^2 +8x

Step-by-step explanation:

(12x^3 -14x^2 -40x) / (2x-5)

Factor the numerator by factoring out the greatest common factor

2x( 6x^2 -7x-20) / (2x-5)

Factor inside the parentheses

2x (3x+4)(2x-5)/ (2x-5)

Cancel like terms

2x( 3x+4)

Distribute

6x^2 +8x

6 0

2 years ago

29.87 × 1.089 show work

ankoles [38]

52.22583 srry I couldn’t show work I was In a hurry to go somewhere

8 0

2 years ago

How do you find the length of each leg of an isosceles right triangle whose hypotenuse is 4 cm?

allsm [11]

The length of hypotenuse of an isosceles right triangle with two equal legs each 4 cm is given by Pythagorean theorem as follows.

√42+42.

=√32.

=4√2.

4√2 cm.

6 0

2 years ago