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3 years ago

The ratio of an interior angle to an exterior angle of a regular polygon is 13:2. Find the number of sides of the polygon

Mathematics

1 answer:

Lemur [1.5K]3 years ago

4 0

Let the interior angle be x. x/(180-x) = 13/2 2x= 2340-13x 15x=2340 x=156 exterior angle= 180-156=24 Number of sides=360/24=15 15-sided polygon

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Which terms in the following expression are like terms?

Alinara [238K]

9514 1404 393

Answer:

Step-by-step explanation:

Like terms have the same variable(s) to the same power(s).

The terms of this expression are ...

x^3: variable x, power 3
5x: variable x, power 1
-3x: variable x, power 1
3y: variable y, power 1
4: no variable
-1: no variable

The like terms are {5x, -3x}, which have the x-variable to the first power, and {4, -1}, which have no variable.

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2 years ago

Cos (-Ø)= √3/3 sinØ <0 what is the value of sinØ?

Inga [223]

Answer:

sin∅= - √6/3

Step-by-step explanation:

Trigonometric function cos is even function which mean:

cos (-∅) = cos ∅

Trigonometric function sin is odd function which mean:

sin (-∅) = - sin∅ => sin∅ < 0

The basic trigonometric equation reads in this case with angle marked ∅:

sin²∅ + cos²∅ = 1 => sin²∅ = 1 - cos²∅ => sin²∅ = 1 - ( √3/3 )² =>

sin²∅ = 1 - (3/9) => sin²∅ = 1 - (1/3) = (3/3) - (1/3) = 2/3 => sin∅ = - √(2/3) =>

sin∅ = - √2/√3 => sin∅ = - √6/3

God with you!!!

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3 years ago

Which pairs of points would result in a line with a rate of change of 2:1? Select all that apply.

Helen [10]

Answer:

Options A, C, D are true.

Step-by-step explanation:

We have to choose the pair of points from that given in the attached file which will result in a line with a rate of change i.e. slope of 2:1 i.e. 2.

A. The points are (-4,-11) and (-2,-7).

Then the slope of the joining line is $\frac{-7-(-11)}{-2-(-4)} =2$

B. The points are (5,6) and (-5,12).

Then the slope of the joining line is $\frac{12-6}{-5-5} =-\frac{3}{5}$

C. The points are (0,-3) and (-4,-11).

Then the slope of the joining line is $\frac{-11-(-3)}{-4-0} =2$

D. The points are (0,-3) and (5,7).

Then the slope of the joining line is $\frac{7-(-3)}{5-0} =2$

Therefore, options A, C, D are true. (Answer)

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3 years ago

On a board measuring 1x100, each square is numbered from

max2010maxim [7]

Answer:

Step-by-step explanation:

Given the following conditions :

board measuring 1x100, each square is numbered from 1 to 100

Three colors are used to paint the squares from left to right in the sequence :

one blue, two reds and three green squares in a repeated pattern.

What is the highest numbered square that is painted blue?

The sequence of painting is repeated after :

(1 + 2 + 3) = 6 successive squares

Since the number of squares = 100

Maximum complete repetition possible :

100 / 6 = 16 remainder 4

Hence 16 * 6 = 96 (the highest complete sequence terminates on the square numbered 96)

On the 97th square, another sequence begins which is a blue and the 100th square is painted the first of the 3 green colors.

Hence, the highest numbered square that is painted blue is 97

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3 years ago

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sergiy2304 [10]

Y=-2x+200 hope this helps

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3 years ago

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