Answer:
20 yards
Step-by-step explanation:
Given that:
Two Given polygons are similar :
Ratio of corresponding sides =. 1/6
Perimeter of larger polygon = 120 yards
Perimeter of smaller = p
Since they are similar, and yhe ratio of their sides Given, we use the relation :
(Smaller perimeter / larger perimeter) = (smaller side / larger side)
(p / 120) = (1 /6)
Cross multiply :
6p = 120
p = 120/6
p = 20 yards
Answer:
19.5
Step-by-step explanation:
165 divided by 8 is 19.5
Step-by-step explanation:
Use arc length:
s = rθ
where r is the radius and θ is the angle in radians.
a) First, convert the angle to radians (1 degree = 60 minutes).
77 ⁵⁰/₆₀° × (π radian / 180°) = 1.358 radians
s = rθ
s = (9.67 in) (1.358 rad)
s = 13.1 in
b) s = rθ
4 in = (9.67 in) θ
θ = 0.414 radians
θ = 23.7°
θ = 23° 42'
Answer:
Let's define two transformations.
Vertical translation.
If we have a function f(x), a vertical translation of N untis is written as:
g(x) = f(x) + N
If N is positive, then the translation is upwards
If N is negative, then the translation is downwards.
Horizontal translation.
If we have a function f(x), a horizontal translation of N units is written as:
g(x) = f(x - N)
if N is positive, then the translation is to the right
If N is negative, then the translation is to the left.
Now we have a function g(x) that is a transformation of a parent function f(x) (we actually do not know which parent function, so i assume f(x) = x^2) such that we have a shift right 5 units and up 3 units.
Then:
g(x) = f(x - 5) + 3
and again, using f(x) = x^2
g(x) = (x - 5)^2 + 3
Answer:
2500
Step-by-step explanation:
it is a geometric progression
r=5