21/25, and since this fraction cannot be simplified, it is already in it's simplest form.
Answer:
C
Step-by-step explanation:
There is a common ratio between consecutive term in the sequence, that is
÷
= 3 ÷
= 30 ÷ 3 = 300 ÷ 30 = 10
This indicates the sequence is geometric with n th term
= a
where a is the first term and r the common ratio
Here a =
and r = 10 , thus
=

=
× 
= 3 ×
× 
= 3 × 
Thus
= 3
→ C
Answer:
One-fifth
Step-by-step explanation:
step 1
Find the distance between the origin and the point B
the formula to calculate the distance between two points is equal to

we have
O (0,0) and B(10, –15)
substitute


step 2
Find the distance between the origin and the point B'
the formula to calculate the distance between two points is equal to

we have
O (0,0) and B'(2,-3)
substitute


step 3
Find the scale factor of the dilation
The scale factor is equal to divide the length of segment OB' by the length of segment OB
so

so
One-fifth
9514 1404 393
Answer:
500 cm³
Step-by-step explanation:
The diameter of the sphere is shown as 10 cm, so its radius is 5 cm. Using the given numbers in the given formula, you find the volume to be ...
V = (4/3)(3)(5 cm)³ = 4(125 cm³) = 500 cm³