<span>a regular hexagon inscribed in a circle </span>
Answer: 8 members of the science group decided to watch the science fiction movie
Step-by-step explanation:
When a group of 40 friends goes to the movies at a multiplex, 1/5 of the group decides to watch a science friction movie. This means that the total sum of the members of the group that decided to watch the science fiction movie and the members that did not watch the science fiction movie is 40.
If 1/5 of the group decides to watch a science friction movie, that means that 1/5 of 40 watched the science fiction movie. It becomes
1/5 × 40/= 40/5 = 8
8 members of the science group decided to watch the science fiction movie.
Area of a trapezoid
1/2(a+b)(h) where a and b are the parallel sides and h is the height.
a = 12.9, b = 8.6, h = 6.4
A = 1/2(12.9 + 8.6)(6.4) = 68.8 cm²
Answer:
<em>The value of y when x has a value of 9 is 18</em>
Step-by-step explanation:
<u>Functions</u>
The variables x and y are said to have a quadratic relationship. That information is not enough to set up a general equation for both variables.
Furthermore, we know that tripling the value of x causes the value of y to be multiplied by 9. That leads us to establish a proportional equation between them, as follows:
Where k is an unknown constant.
Let's use the given point (3,2) to find the value of k:
Solving for k:
The equation is now:
Now find y when x=9:
The value of y when x has a value of 9 is 18
Find the smallest number that is divisible by 2, 3, 4, 5, 6 and add 1.
We need the least common multiple of 2, 3, 4, 5, 6.
2 = 2
3 = 3
4 = 2^2
5 = 5
6 = 2 * 3
LCM = product of common and not common prime factors with larger exponent.
LCM = 2^2 * 3 * 5 = 4 * 3 * 5 = 60
To always have a remainder of 1, you need of add 1 to 60.
The number is 61.
Check:
61/2 = 30 remainder 1
61/3 = 20 remainder 1
61/4 = 15 remainder 1
61/5 = 12 remainder 1
61/6 = 10 remainder 1
