We must find the area of each cake's top.
Formula for area of a circle:

where r is the radius.
<span>small cake:
</span>Plug in 4 for r because the radius is 4. (They give us the diameter, which is 8, and the radius is half that)

A = 16π
<span>big cake:
</span>Repeat the process:
Plug in 12 for r because the radius is 12. (They give us the diameter, which is 24, and the radius is half that)

A = 144π
So our two radii are 144π and 16π.
The large cake's top is not 3 times the area of the small cake's.
This makes sense because you are squaring the radius, which makes the fact that the larger cake's diameter is triple the smaller cake diameter irrelevant.
Hope this helped! ^-^
Answer:
y = -3x + 4
Step-by-step explanation:
y = 4, this is where your line intersects with the y axis.
x = 1 is where your line is on the x axis (you want to include the part of the line that hits a point straight on, not one that goes past it.) So when it lands on the corner of the grids like the 4 for the y axis does, that is the point you are going to use.
Rise/Run is then your equation, so since you go down 3 and over 1 (counting from your y axis point), your slope is -3/1 or -3.
Then goes your y axis, so the final equation is
y= -3x + 4
I hope this helped!
Answer:
1/6
Step-by-step explanation:
if there are 6 sides on a dice and the space is 3 moves away, then you have a 1/6 chance of rolling a 3 and landing on it.
Answer:
B
Step-by-step explanation:
The x-value at the point, denoted by d, is 18
<h3>Slope of a line </h3>
From the question, we are to determine the x-value at point B on the line
Given the points (x₁, y₁) and (x₂, y₂) on a line.
The slope, m, of a line with two points (x₁, y₁) and (x₂, y₂) on the line is given by the formula
m = (y₂ - y₁)/(x₂ - x₁)
From the given information,
Point A is (2, 1)
Point B is (d, 81)
That is,
x₁ = 2
y₁ = 1
x₂ = d
y₂ = 81
and
slope, m = 5
Thus,
5 = (81 - 1) / (d - 2)
5 = 80/(d -2)
5(d - 2) = 80
5d - 10 = 80
5d = 80 + 10
5d = 90
d = 90/5
d = 18
Hence, the x-value at the point, denoted by d, is 18
Learn more on Slope of a Line here: brainly.com/question/19012287
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