Answer:
r = -12cos(θ)
Step-by-step explanation:
The usual translation can be used:
Putting these relationships into the formula, we have ...
(r·cos(θ) +6)² +(r·sin(θ))² = 36
r²·cos(θ)² +12r·cos(θ) +36 +r²·sin(θ)² = 36
r² +12r·cos(θ) = 0 . . . . subtract 36, use the trig identity cos²+sin²=1
r(r +12cos(θ)) = 0
This has two solutions for r:
r = 0 . . . . . . . . a point at the origin
r = -12cos(θ) . . . the circle of interest
Answer:
10 cents
Step-by-step explanation:
In order to answer this question we have to find how much each chicken strip costs individually.
Let's start with the 4 piece.
To find how much each piece costs we have to divide $2.40 by 4. Like this:
In the 4 piece, every chicken strip costs .60 cents.
Now, let's do the 6 piece.
Like before we are going to divide $3.00 by 6.
In the 6 piece, every chicken strip costs .50 cents.
Therefore, customers save 10 cents when they buy the larger quantity.
<em>I hope this helps!</em>
<em>If you have any questions let me know!</em>
<em>- Kay :)</em>
You need to determine how much paper you need to cover the lateral side of the cylinder shown in the picture. For this, you have to calculate the surface area of the cylinder, which you can do using the following formula:
Where
A is the area
π is the number pi, for the calculations we usually use up to the first two decimal values of this number, 3.14
r is the radius
h is the height of the cylinder
The given cylinder has a height of h=15m and a diameter of d=6m
To calculate the lateral area you need to use the radius. The diameter is twice the radius, so to determine the radius of the cylinder you have to divide the diameter by 2
Now you can calculate the lateral area as follows:
Charlie will need 282.6 m² to cover the lateral side of the cylinder.