How many degrees are there in the angle formed by two adjacent sides of a regularnonagon (nine-sided polygon)?

Answers

Answer 1
Answer: The answer is 40 because 360/9 is 40
Answer 2
Answer:

Answer:

40

Step-by-step explanation:

360/9=40


Related Questions

A yogurt shop offers 3 different flavors of frozen yogurt and 12 different toppings. How many choices are possible for a single serving of frozen yogurt with one topping?A. 144 B. 36 C. 9 D. 1,320
If sin x=0.5, what is the value of cos x?
The product of two consecutive positive integers is 27 more than 5 times the larger
factor each expression: 4n^2-8n+3,  4p^2+7p+3, 6r^2-23r+20, 5z^2+19z-4, 2k^2-13k-24, 6t^2+7t-5, 3x^2+23x-36, 4w^2-5w-6, 4d^2-4d-35
The sum of 3 consecutive integral numbers is 117. Find the numbers. need all 3 numbers

If you separate all the clubs from a deck of cards and pick 3 of those 13 cards, what is the probability that the cards are jack, queen, and king in ascending or descending order?

Answers

Answer:

Step-by-step explanation:

Given: separate all the clubs from a deck of cards and pick 3 of those 13 cards.

To find: probability that the cards are jack, queen, and king in ascending or descending order

Solution: Ascending and descending are mutually exclusive , thus

P(JQK)=(1)/(13){*}(1)/(12){*}(1)/(11)

P(JQK)=(1)/(1716)

P(KQJ)=(1)/(13){*}(1)/(12){*}(1)/(11)

P(KQJ)=(1)/(1716)

P(JQK or KQJ)=(1)/(1716)+(1)/(1716)

P(JQK or KQJ)=(1)/(858)≈0.0012

that would be 1/858 for jack, queen, or king of those 13 cards.

A line has a rise of 6 and a slope of 1/20. What is the run?30
90
120
What is the answer please help.
Thank you

Answers

Answer:

\boxed{\boxed{\text{Run}=120}}

Step-by-step explanation:

From coordinate geometry we know that, slope is ratio of vertical change rise and the horizontal change run.

Mathematically,

\text{Slope}=\frac{\text{Rise}}{\text{Run}}

Putting the given values,

\Rightarrow (1)/(20)=\frac{6}{\text{Run}}

\Rightarrow \text{Run}=6* 20

\Rightarrow \text{Run}=120

Rise/Run=(Y-y)/(X-x)

6/Run=1/20=6/120

Say that R=Run

6/R=6/120

720/R=6

6R=720

R=720/6=120

Therefore Run=120.


Find the nth term in the sequence
-6,-3,0,3,6

Answers

Answer:

3n-9

Step-by-step explanation:

NO NEED TO EXPLAIN ENJOY :)

First, determine what type of sequence the set of numbers make up. Through simple logic, it is an arithmetic sequence, because one can see by inspection that there is a common difference of 3 (positive 3, just to be a bit more pedantic).

We then use the formula, t_(n) = a + (n - 1)d
where t_(n) represents the n^(th) term; a represents the starting term (so the first number in the set of numbers, which in this case is -6); n is the term number (1st, 2nd, 3rd term, etc.); d is the common difference, that is, when you subtract the next term to the previous term – what is that numerical value.

To elaborate a bit more, your  1 st term is -6,  2 nd   is -3,  3 rd is 0, etc.

Also, the formula above is something you just learn, unless you learn to proof this formula, which is something different.

So, here, t_(n) = -6 + (n-1)3, which can be expanded to:
t_(n) = -6 + 3n-3
Therefore, t_(n) = 3n - 9

Set P = (2, 3, 5, 5, 6) Set Q = (1, 2, 3, 4)If m is randomly selected from Set P and n randomly selected from Set Q, what is the probability that mn is an even integer?


3/4

11/16

9/16

1/4

3/16​

Answers

Answer:

Therefore, the correct answer is 9/16.

Step-by-step explanation:

To determine the probability that mn is an even integer, we need to consider the possible values of m and n.

Set P contains the elements (2, 3, 5, 5, 6), and set Q contains the elements (1, 2, 3, 4).

For mn to be an even integer, either m or n must be an even number.

In set P, there are two even numbers (2 and 6) out of a total of five elements. So, the probability of selecting an even number from set P is 2/5.

In set Q, there are two even numbers (2 and 4) out of a total of four elements. So, the probability of selecting an even number from set Q is 2/4 or 1/2.

To find the probability that mn is an even integer, we can consider the two cases:

If m is even and n is any number:

The probability of m being even from set P is 2/5, and the probability of n being any number from set Q is 1 (since any number can be selected from set Q). Therefore, the probability of mn being even in this case is (2/5) * 1 = 2/5.

If m is any number and n is even:

The probability of m being any number from set P is 1 (since any number can be selected from set P), and the probability of n being even from set Q is 1/2. Therefore, the probability of mn being even in this case is 1 * (1/2) = 1/2.

We can add these two probabilities to find the overall probability that mn is an even integer:

Probability = (2/5) + (1/2) = 4/10 + 5/10 = 9/10.

Therefore, the correct answer is 9/16.

Hey guys! I would be thankful if anyone could help me answer this question. A can manufacturing company needs to purchase labels for the cans they produce. They are planning to produce 200,000 cans that will have a height of 20cm and a radius of 5 cm. If the labels cover the entire curved surface of each can, how many square metres of material will be required to label all the cans?

Answers

In order to not get confused, start by converting cm to m
h=20 cm = 0.2m and r=5cm = 0.05m

The cans are cylinders and we only need the rectangular shape, which is equal to the height x the circumference of the circle (2r(pi)), which you'll have to multiply by 200,000 for the number of cans necessary

your equation is therefore:
A=200,000h(2pi(r))
A=200,000(0.2)(2)(0.05)(pi)
A=4000pi m^2
Surface area for a cylinder = 2πrh

r = 5cm, h= 20cm

Surface area for one can =  2πrh = 2*π*5*20 = 200π = 200* 3.14

Surface area ≈ 628 cm²

For the 200, 000 cans, Total area = 200 000 * 628 = 125 600 000 cm²

But 1 000 000 cm² = 1m²

125 600 000 cm² =     125 600 000 / 1 000 000 = 125.6 m²

Total surface area ≈ 125.6 m²

Simplify for a lot of points
(1-sin^2x)(1-tan^2x)

Answers

1/sin^2x-1/tan^2x=
1/sin^2x-1/ (sin^2x/cos^2x)<<sin tan= sin/cos>>
= 1/sin^2x- cos^2x / sin^2x
= (1- cos^2x) / sin^2x <<combining into a single fraction>>
sin^2 x / sin^2x <<since 1- cos^2 x sin^2 x

=1
this simplifies to 1.