To find the least number of rows she can make will be found by finding the biggest way to divide these into equal groups (greatest common factor).
You can use prime factorizations of each number to find the gcf.
150 - 2 x 3 x 5 x 5
360 - 2 x 2 x 2 x 3 x 3 x 5
The common prime numbers are 2 x 3 x 5
You can make 12 (360/30) rows of pink and 5 (150/30) rows of red.
Answer:
Solid Sphere
Step-by-step explanation:
According to the question, the three shapes have equal masses (m), radii (R) (and diameter).
The shape with the least mass moment of inertia will have the highest acceleration
Let IC represents Inertia
According to calculations, the inertia of
Solid Sphere: IC=(2/5)mR²
Solid Cylinder: IC=½mR²
Hollow Pipe: IC=⅔mR²
Where m = mass of the shape
And R is the Radius of the shape
By comparison, the solid sphere has the least mass of inertia and hollow Pipe has the most mass of inertia.
So, solid sphere will get to the bottom first.
<span>√3 * 2√2 * 5√8 * 18
2 x 5 x 18
10 x 18
180
</span>√3 x √2 x √8 =
√6 x √8 =
√48
√48 = 6 x 8 = 3 x 2 x 2 x 2 x 2 = 4√3
180 x 4√3 = 720√3
720√3 should be your answer
hope this helps
<span>M1=[<span>(4a+0)/2 <span>,(4b+0)/2] = (2a, 2b)
</span></span></span>M2=[(4c+4d)/2 ,(4b+0)/2] = [2(c+d) , 2b]
answer
coordinate points (x,y) :
(2a, 2b) , [2(c+d) , 2b]
9514 1404 393
Answer:
34.6 ft
Step-by-step explanation:
The distance can be found using the Pythagorean theorem. Where a, b, c are the sides of a right triangle with c as the hypotenuse, it tells you ...
a² + b² = c²
a = √(c² -b²)
base-to-string = √(39² -18²) = √1197 ≈ 34.598
The distance from the base of the pole to the end of the string is about 34.6 feet.
