All categories

3 years ago

What is the measure of an exterior angle in a regular dodecagon?

1 answer:

7 0

Duodecagon = 12sides
so each interior angle = [(12-2)180]÷12 = 1800÷12= 150°

so an exterior angle = 180 - interior angle
= 180-150 = 30°

You might be interested in

Angle = (2x + 10)° and angle = (4y – 30)°. Find x and y.

ASHA 777 [7]

Answer:

11.33 degrees

Step-by-step explanation:

5 0

3 years ago

7x-4y=-7 5x+y=22 please show work

Keith_Richards [23]

What exactly are you finding

3 0

3 years ago

Find the sum of nth term of the series 1+3/2+5/2^2+7/2^3+.......

ioda

Answer:

an = (1 + 2·(n - 1))/2^(n - 1) = 2^(1 - n)·(2·n - 1)

sn = 6 - 2·0.5^n·(2·n + 3)

6 0

4 years ago

Prove this qns plzz

artcher [175]

Answer:

L.H.S.

= (cos5a.sin2a-cos4a.sin3a)/ (sin5a.sin2a-cos4a.cos3a)

Multiply numerator and denominator by 2.

= 2(cos5a.sin2a - cos4a.sin3a) / 2(sin5a.sin2a - cos4a.cos3a)

= (2cos5a.sin2a - 2cos4a.sin3a)/

(2sin5a.sin2a - 2cos4a.cos3a) = [sin(5a+2a)-sin(5a-2a)-sin(4a+3a)

+sin(4a-3a)]/[cos(5a-2a)-cos(5a+2a)-sin(4a-3a) +cos(4a+3a)]

= (sina - sin3a)/(cso3a-cosa)

= (-2cos2a.sina)/(-2sin2a.sina)

= cos2a/sin2a

= cot2a

= R.H.S.

6 0

3 years ago

Read 2 more answers

The "mammals" data set in the "MASS" library contains the result of a study of sleep in mammal species. 1 2 Load the "mammals" d

dusya [7]

Complete Question:

The complete question is shown on the first uploaded image

Answer:

The probability that the random you randomly select species that are greater than 200 kg is = 7/62

Step-by-step explanation:

Step One: Load the data set in to the R work space

data(mammals,package="MASS")

attach(mammals)

Step 2 : Obtain the list of the species that are greater than 200 and store it on y variable.

y <- subset(mammals,body>200)

Step Three : Obtain the total size

nrow(mammals)

Step Four : Obtain the sum of species greater than 200

sum(body > 200)

total size = 62

size with body > 200 = 7

hence

required probability = 7/62

7 0

3 years ago