Answer:
18 sides
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
Here sum = 2880°, thus
180° (n - 2) = 2880 ( divide both sides by 180 )
n - 2 = 16 ( add 2 to both sides )
n = 18
Answer: It would take Tanya 15 minutes to run 2 kilometers
Answer: 15 minutes
Step-by-step explanation: This is true because:
If Tanya can run 8 kilometers in an hour (60 minutes) and you need to find how long it takes for her to run 2 kilometers there are two ways you can solve this:
#1: You find the unit rate (how long it takes Tanya to run 1 kilometer).
This would be written as 8 kilometers divided by 60 minutes. Once you do that math, you should get 7 1/2 minutes for one kilometer. However, since she is running 2 kilometers, you would multiply 7 1/2 by 2 to get your answer, which is 15 minutes.
#2: You set up a proportion to solve this problem:
This would be written as:
8/60 == 2/x, where the numerator of each fraction is the number of kilometers ran, the denominator is how long it took to run that distance, and x is the amount of minutes it took Tanya to run 2 kilometers. If you cross multiplied, you would get the following equation:
8x=120.
To get x by itself, you would divide both sides by 8; 8x/8 is x, and 120/8 is 15, getting you an answer of x=15, or 15 minutes.
Step-by-step explanation:
Sides of hexagon = 6
Hexagon
1
1 + 5 = 6
1 + 5 + 9 = 15
1 + 5 + 9 + 13 = 27
1 + 5 + 9 + 13 + 17 = 45
Prime numbers are numbers that can be multiplied more times than just one and itself. And odd numbers are numbers that you can only multiply by one and itself
Answer:
Step-by-step explanation:
As there are total 52 cards in a deck and we have to draw a set of 5 cards, we can use the formula of combination to find the total number of possible ways of drawing 5 cards.
Number of ways to draw 5 cards =
(a) Assuming the cards are drawn in order (would not affect the probability). The of getting Ace, 2, 3, 4 and 5 can be obtained by multiplying the probability of getting cards below 6 (20/52) with the probability of getting 5 different cards (4 choices for each card).
(b) For a straight we require our set to be in a sequence. The choices for lowest value card to produce a sequence are ace, 2, 3, 4, 5, 6, 7, 8, 9, or 10. Hence, the number of ways are .
For each card we can draw from any of the 4 sets. It can be described mathematically as:
Therefore, the total outcomes for drawing straight are:
Thus, the probability of getting a straight hand is: