Answer:
9652
Step-by-step explanation:
Hope that helps!
To solve this we are going to find the least common multiple of 8 and 12.
Remember that the least common multiple (LCM) of tow or more numbers is the smallest positive number that is multiple of those two or more numbers.
To find our LCM we are going to list the multiples of 8 and 12, and then, we are going to select the first common number in those lists:
Multiples of 8: 8,16,24,32,40,....
Multiples of 12: 12,24,36,48,...
Notice that the first common value between the two list is 24, and that is precisely the number of days it will take for drawing sessions to coincide.
We can conclude that after 24 days both<span> art studios will start a new drawing session on the same day.</span>
Answer:
The length of the diagonal of the frame equal 17 inches
Step-by-step explanation:
The diagonal dividing the rectangle as made the rectangle 2 triangles
So according to Pythagoras Theorem,
Hypothenus² = opposite² + adjacent²
The diagonal lent is the Hypothenus.
so the two other sides are taking as opposite and adjacent respectively
so taking h as hypothenus,
h² = 15² + 8²
h² = 225 + 64
h² = 289
h = √289
h = 17
Answer:
The radius of a hexagon is called the apothem, which in this case is 15.
We need to know the side length which is found by the equation:
side length = apothem * 2 * (tan (180 / #sides))
side length = apothem * 2 * (tan (180 / 6))
side length = 15 * 2 * (tan (30 degrees))
side length = 30 * .57735
side length = 17.3205
We need the perimeter of the hexagon which equals the side length times six.
perimeter = 6 * 17.3205 = 103.923
Source: https://www.1728.org/polygon.htm
Step-by-step explanation:
<span>Here let the quadratic equation be ax^2 + bx + c
We know that a=5 from the question.
Since the roots are 6 and 2, the quadratic equation would take the form of a product like (a1x-b1)(a2x-b2).
However, let's assume that a2=1 and b2=6,
Since a=5, a1=5, then 5x-b1=5(x-2). Solving this shows that b1=10
So, the equation is (5x-10)(x-6)</span>
