Answer:
C = 62.8 m
Step-by-step explanation:
The circumference formula is C = πd.
Here d = 20 m. Therefore, the circumference of this circle is C = (20 m)π.
To the nearest 10th, we round off C = (20 m)(3.14159) = C = 62.8 m
Answer:
G is smaller than P. Visually comparing G to P you are doing a rough comparison to a 90° (or right) angle. Angle G is a little bit tilted to the right making it just under 90°
If you start with a 12x16 rectangle and cut square with side length x, when you bend the sides you'll have an inner rectangle with sides
and
, and a height of x.
So, the volume will be given by the product of the dimensions, i.e.

The derivative of this function is

and it equals zero if and only if

If we evaluate the volume function at these points, we have

So, the maximum volume is given if you cut a square with side length

Answer:
c = 53 yd is the answer.
Step-by-step explanation:
a = 45 yd
b = 28 yd
c = ?
According to the Pythagorean Theorem,
a² + b² = c²
45² + 28² = c²
2025 + 784 = c²
c² = 2809
c = 53 yd
∴ The dog runs 53 yd