1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MariettaO [177]
3 years ago
12

Each interior angle of a regular polygon is 140°.Find the number of sides​

Mathematics
1 answer:
castortr0y [4]3 years ago
8 0

Step-by-step explanation:

Each interior angle=140°

(n-2)180°/n=140°

180°n-360°/n=140°

180°n-360°=140°n

180°-140°=360°

40°n=360°

n=360°/40°

n=9

Hence, the number of sides of the polygon is 9.

It is nonagon .

You might be interested in
If tanA = 1/2 then evaluate cos A/sinA +sinA /1+cosA​
Deffense [45]

Answer:

√5.

Step-by-step explanation:

Tan A = 1/2 means that the right triangle containing angle A has legs of length 1 and 2 units. So the hypotenuse  = √(1^2 + 2^2) = √5  (using the Pythagoras theorem). The side opposite to < A = 1 unit and the adjacent side = 2 (as tan = opposite / adjacent).

so cos A =  adjacent / hypotenuse =   2/√5.

and sin A = opposite / hypotenuse = 1 / √5

cos A / sin A = 2/√5 /  1/ √5 =  2.

sin A / (1 + cos A) =  1/√5 (1 + 2/ √5)

=  1 / √5 ( (√5 + 2) /√5)

= 1 / (√5 + 2)

So the answer is:

2  +   1 /(√5 + 2).

We can simplify it further by multiplying top and bottom of the fraction by the complement of √5 + 2 which is √5 - 2.

2 + 1 / (√5 + 2)

= 2(√5 + 2) + 1 / (√5 + 2 )

= { 2(√5 + 2) + 1 } /  (√5 + 2)

Multiplying this by  √5 - 2 / √5 - 2 we get:

(2(5 - 4) + √5 - 2) /  (5 -4)

=  2 + √5 - 2 / 1

= √5.

3 0
3 years ago
Please help i’ll do anything and give the brain thing :((
ASHA 777 [7]

Answer:

add me on snap kharding1805 and I will add you back

3 0
3 years ago
The price of an item has risen to $91 today. yesterday it was $65 l. find the percentage increase
Natali [406]

Answer:

40%

Step-by-step explanation:

First you take $19 - $65 to get $26

Then: 26 ×100= 2600÷ 65= 40%

8 0
3 years ago
Can someone please help me with 3
FrozenT [24]
U believe the answer is no, I believe this because eight 9 oz. bags is 72 oubces and both of them make less than that in 10 minutes. Machine A would make 42.5 oz in 10 minutes and Machine B would make 45 oz in 10 minutes.
3 0
3 years ago
18(5−3w) =<br> can someone help me pls
nika2105 [10]

Answer:

90-54w

Step-by-step explanation:

use the distributive property

3 0
3 years ago
Other questions:
  • If T is the midpoint of SU,find x. ( ST=8x+11 and TU= 12x-1)
    5·2 answers
  • A recent study reported that 73% of Americans could only converse in one language. A random sample of 130 Americans was randomly
    7·1 answer
  • Algebra problem if dave's baseball record was 4 wins and 7 loses, how many games would he have to win to win 80% of his games
    12·1 answer
  • Pleaseeeee halpppp
    7·2 answers
  • Solve s=m/4(a+h) for h
    15·1 answer
  • A box of a dozen fruit tarts costs 15.00. what is the cost of the one fruit tart
    13·2 answers
  • Select the multiplication sentence that applies the commutative property of multiplication to the example.
    9·1 answer
  • Which graph represents the solution set of the system y ≤ x2 – 1 and x &gt; y2 – 6?
    6·2 answers
  • Which of the following is most likely the next step in the series
    13·2 answers
  • A grain trader buys the following amounts from three suppliers: 3,200 pounds,7,200 ponds and 600 pounds. What is the total weigh
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!