Answer:

Step-by-step explanation:
Given:
Number of feathers = 
Number of caps = 
Number of feathers in each cap = 3
Now, solving by setting up a proportion.
1 cap has 3 feathers. 'c' caps has 'f' feathers.
This gives,

Solving by cross multiplication, we get:

Therefore, the equation representing the number of feathers 'f' Erica needs to make 'c' caps is given as:

Answer:
yes, because of the Angle-Angle-Angle theorem
scale factor = 2
Step-by-step explanation:
The formula for the volume of a sphere is (4/3)*pi*r^3. Using this formula, we have 44.6022 cm^3 = (4/3)*pi*r^3. Solving for r, we get 2.2 cm. Thus, the radius of the sphere with an approximate volume of 44.6022 cubic centimeters is 2.2 cm. To add, the volume of a sphere is also exactly two-thirds the volume of its circumscribed cylinder.
The answer is very simple .
First you need to determine the slope, which is the reciprocal of the first line.
Then,
y = mx + b
m => -1/m
The perperdicular line has a new slope equal to m = -1/2
In the formula (y - y1) = m ( x - x1 ) + b , you should sustitude this value.
So the final equation will be
-3 = -1/2 (0) + b
b = - 3
y = (-1/2)x - 3
That is the solution