First, let's assign two variables: one for the name of the limestone statue, and one for the name of the marble statue. 'L' will represent the age of the limestone, and 'm' represents the age of the marble statue.
With the given, we can make two equations:
L = m + 56 (A limestone statue is 56 years older than a marble statue)
L + 12 = 3(m + 12) (In 12 years, the limestone will be three tikes as old as the marble statue)
Thanks to the first equation, we already have a value for L, m + 56.
Input it into the second equation:
(m + 56) + 12 = 3(m + 12)
Simplify:
m + 68 = 3m + 36
Subtract:
68 = 2m + 36
Subtract:
32 = 2m
Divide:
16 = m
Since the limestone statue is 56 years older:
L = 16 + 56 = 72
The marble statue is 16 years old, and the limestone statue is 72 years old.
-T.B.
Answer:
Arc length = 8π
Step-by-step explanation:
As we know that -
θ = arc length / radius (r) ...............(i)
As given in the question -
<u>θ = 90°, arc length = 2π,</u>
Put values in equation (i)-
90° = 2 π / r
r = 2 π / 90°
r = 2 × 180°/ 90°
r = 4
Now Circumference of circle = 2 π r
<em>= 2π × 4</em>
<em> </em><em> = 8π</em>
Hence arc length of circle is 8π.
Answer:
π/6 and 5π/6
Step-by-step explanation:
Graphing the equation or using a unit circle, we can find these values out pretty easily
Answer:
106
Step-by-step explanation:
Given:
Thirteen fewer than three times his thinking number is 305.
Question asked:
What number is Tomás thinking ?
Solution:
Let Toma's thinking number be
As 13 fewer than 3 times his thinking number is 305.
The equation will be:
Adding both side by 13
Dividing both side by 3
Thus, Tomàs was thinking of a number is 106