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4 years ago

if the sum of the measures of the interior angles of a convex polygon is 1440° , how many sides does the polygon have?

Mathematics

1 answer:

kupik [55]4 years ago

6 0

S = sum of the interior angles
n = number of sides

S = 1440 is given. Let's solve for n.

S = 180*(n-2)
1440 = 180*(n-2)
1440/180 = 180*(n-2)/180
8 = n-2
8+2 = n-2+2
10 = n
n = 10

There are 10 sides. This is a decagon.

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2(10 – 24x) + y2 What is X equals What is Y equals What is the answer

kakasveta [241]

Answer:

X= 5/12 + 1/24y

Y= -10 + 29x

Step-by-step explanation:

2(10- 24x)+ 2y 2(10- 24x)+ 2y

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3 years ago

Find a unit vector in the same direction as the given vector: v = −14.5i + 2.5 j.

Elis [28]

ANSWER

$- \frac{29}{866} \sqrt{866} i + \frac{5}{866} \sqrt{866} j$

EXPLANATION

The given vector is v = −14.5i + 2.5 j.

The magnitude of this vector is

$|v| = \sqrt{ {( - 14.5)}^{2} + {2.5}^{2} }$

$v| = \sqrt{ {( - 14.5)}^{2} + {2.5}^{2} }$

$v| = \sqrt{ 216.5} = \frac{ \sqrt{866} }{2}$

The unit vector in the direction of this vector is

$= \frac{v}{ |v| }$

$= - \frac{14.5}{ \frac{ \sqrt{866} }{2} } i + \frac{2.5}{ \frac{ \sqrt{866} }{2} } j$

$= - \frac{29}{866} \sqrt{866} i + \frac{5}{866} \sqrt{866} j$

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3 years ago

What is the answer for 604.8 36 with work included?

goblinko [34]

Answer:

16.8

Step-by-step explanation:

You have to do 360 divided my 6048 because you have to do things on both numbers like moving the decimal.

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3 years ago

(14x2 - 3x3 + 9x4) - (-14 + 13x3 + 11x4) simplify and answer in standard form

FromTheMoon [43]

We have that
(14x2 - 3x3 + 9x4) - (-14 + 13x3 + 11x4)=14x2 - 3x3 + 9x4 +14 - 13x3 - 11x4
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then
-2x4-16x3+14x2+14=0--------------> this is the standard form

simplify dividing the entire expression by two
-x4-8x3+7x2+7=0

the answer is
-x4-8x3+7x2+7=0

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3 years ago

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Ratios
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