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Lorico [155]
3 years ago
14

When baking a cake you have a choice of the following pans: a round cake that is 2 inches deep and has a 7-inch diameter, a 6 in

ches times 9-inch rectangular cake pan that is 2 inches deep.
Question: Excluding the bottom of the cake what is the surface area of each cake that will be covered by frosting?
I do not need an answer I just need help on this question. Thank you.
Mathematics
1 answer:
irga5000 [103]3 years ago
5 0
The answer is
round cake - 82.42 in²
rectangular cake - 114 in²

Round cake:
d = 7 in
r = d/2 = 7 in / 2 = 3.5 in
h = 2 in

The surface are of a cylinder is:
A = 2πr² + 2πrh

The surface are of the round cake (which is actually a cylindrical cake) excluding the bottom is:
A = 2πr² + 2πrh - πr²
A = πr² + 2πrh
A = 3.14 * 3.5² + 2 * 3.14 * 3.5 * 2
    = 38.46 + 43.96
    = 82.42 in²

Rectangular cake:
w = 6 in
l = 9 in
h = 2 in

The surface are of a rectangle is:
A = 2wl + 2wh + 2lh

The surface are of the rectangular cake excluding the bottom is:
A = 2wl + 2wh + 2lh - wl
A = wl + 2wh + 2lh
A = 6 * 9 + 2 * 6 * 2 + 2 * 9 * 2
    = 54 + 24 + 36
    = 114 in²

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Hypotenuse Math. 15 Points.
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Using the Pythagorean theorem:

a^2 + b^2 = c^2

A and B are the sides and c is the hypotenuse.

4^2 + 5^2 = c^2

Simplify:

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41 = c^2

Take the square root of both sides:

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4 0
3 years ago
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If f(x) = 2x + 3 and g(x) = x^2 + 1,find f(g(3)).<br> A.) 23<br> B.) 47<br> C.) 82<br> D.) 90
marta [7]
The answer is A). 23. 
<span>g(x)= 2x + 3 </span>
<span>g(x) = x^2 + 1 </span>
<span>g(3) = 10 </span>
<span>f(g(3)) </span>
<span>= f(10) </span>
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3 years ago
You are paid $10 an hour as a wage. you worked 36 hours this week. What is your weekly wage?
barxatty [35]
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4 0
2 years ago
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A rectangular prism measures 225 inches by 315 inches by 2 inch.
Bas_tet [7]

Answer:

No I don't agree with Priya

The reason why I don't agree with Priya is because 25 Inch side blocks are BIGGER than 15 inch side blocks. That means that it will take less amount of 25 inch side blocks to fill up the volume of the rectangular prism rather than 15 inch side blocks.

(I'm sorry, I don't know what was your previous question, so I can't answer that part. If you comment it below, I will do it!)

5 0
1 year ago
Pleaseeee helpppppp !!!!!!!Will mark Brianliest !!!!!!!!!!!!!
mamaluj [8]

Answer:

So

GJ=35

Step-by-step explanation:

Two triangles are similar so

The equation is

4/24=x/30

1/6=x/30

6x=30

x=5

3 0
3 years ago
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