1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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

You might be interested in
Help Please! Thanks so much if u do
Sati [7]

Answer:

$65

Step-by-step explanation:

Let's add up the flat rate and the cost of four tires:

flat rate + 4($122.57/tire) = $555.28

We are to solve for "flat rate."  First, multiply out 4($122.57/tire), obtaining a tire cost of $490.28 total.  Subtracting this tire cost from the $555.28 Janette paid the shop, we get "flat rate" = $555.28 - $490.28, or $65.

Thus, the installation charge ("flat rate") must have been $65.

7 0
3 years ago
Can someone answer B please???
lbvjy [14]
A)

150 were surveyed, possible outcomes, and 132 said they prefer dogs, favorable outcomes,   132/150 or 22/25 or 0.88, now 0.88 * 100 is just 88, namely 88% is the probability.

b)

since we know is 88%, what is 88% of 100?  (88/100) * 100, 0.88 * 100, or just 88 students.

c)

18/150 or 3/25 or 0.12 namely 12%,

what's 12% of 300?  (12/100) * 300, or 0.12 * 300, so just 36 students.
8 0
3 years ago
I need an answer for each instance!!! Each a, b, and c is a different mini problem.
user100 [1]
The answer would be c

7 0
3 years ago
1. Thom has a scale model of his car. The
MariettaO [177]

x =\frac{4}{3}inch is the size in wheels on the scale model .

<u>Step-by-step explanation:</u>

Correct Question : Tom has a scale model of his car. The scale factor is 1 : 12. If the actual car has 16-inch wheels, what size are the wheels on the scale model?

We have , The scale factor is 1 : 12. We need to find If the actual car has 16-inch wheels, what size are the wheels on the scale model .Let's find out:

Ratio of size of wheels to actual size of wheels is 1:12 , but actual car has 16-inch wheels So ,

⇒ \frac{1}{12}  = \frac{x}{16}                 { x is size of wheel in scale model }

⇒ \frac{1(16)}{12}  = \frac{x}{16}(16)

⇒ x =\frac{16}{12}

⇒ x =\frac{4}{3}inch

Therefore , x =\frac{4}{3}inch is the size in wheels on the scale model .

5 0
3 years ago
Which probability distribution table corresponds with this frequency distribution table
nlexa [21]

Answer:

A.

\begin{array}{cccccc}x&1&2&3&4&5\\f&0.2&0.3&0.05&0.2&0.25\end{array}

Step-by-step explanation:

First find the sum

\sum f=4+6+1+4+5=20.

Now, find the probabilities:

  • Pr(x=1)=\dfrac{4}{20}=\dfrac{1}{5}=0.2;
  • Pr(x=2)=\dfrac{6}{20}=\dfrac{3}{10}=0.3;
  • Pr(x=3)=\dfrac{1}{20}=0.05;
  • Pr(x=4)=\dfrac{4}{20}=\dfrac{1}{5}=0.2;
  • Pr(x=5)=\dfrac{5}{20}=\dfrac{1}{4}=0.25.

Hence, the frequency distribution table is

\begin{array}{cccccc}x&1&2&3&4&5\\f&0.2&0.3&0.05&0.2&0.25\end{array}

4 0
3 years ago
Other questions:
  • If a person has 100 jars of peanut butter ,if they sold one dozen jars each day of last week.how many jars do they have left
    13·2 answers
  • The number of finance majors within the School of Business is an example of
    14·1 answer
  • Please help me I need help ASAP
    6·1 answer
  • If you have 24 square pieces of wood, describe all
    13·1 answer
  • There are 8 performers who will present their comedy acts this weekend at a comedy club. One of the performers insists on being
    5·1 answer
  • Suppose that the relation H is defined as follows.
    11·1 answer
  • Help please!you’ll get 15 points.
    7·1 answer
  • Please answer, will be greatful!
    5·2 answers
  • The cost of 12 pounds of apples costs $35.50. What is equation for the cost in dollars, d, for the cost of a pound, p of apples
    10·2 answers
  • the manager of a six screen movie theater was analyzing the tick sales data for monday through friday of the last week. there we
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!