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
deff fn [24]
3 years ago
15

Cindy is baking a 2-layer cake. The top layer has a diameter of 8 inches and the bottom layer has a diameter of 10 inches. What

is the difference in area between the top surfaces of the two cakes? Use 3. 14 for π
Mathematics
1 answer:
Alenkinab [10]3 years ago
5 0

The difference in area between the top surfaces of the two cakes is 28.26 inches²

<h3>Area of a circle</h3>
  • area = πr²

where

r = radius

Therefore,

area of top layer = πr²

d = 2r

r = d / 2

r = 8 / 2

r = 4 inches

area of top layer = 3.14 × 4²

area of top layer = 3.14 × 16

area of top layer = 50.24 inches²

area of the bottom layer = πr²

r = 10 / 2 = 5 inches

area of the bottom layer = 3.14 × 5²

area of the bottom layer = 3.14 ×25

area of the bottom layer = 78.5 inches²

Difference in area between the top surfaces of the two cakes can be found as follows:

  • 78.5 - 50.24 = 28.26 inches²

learn more on circle here: brainly.com/question/10264279

You might be interested in
Rewrite the rational exponent as a radical.
valina [46]
To answer the given : <span>5 to the 3 over 4 power, to the 2 over 3 power, we multiply the powers 3/4 and 2/3 equal to 2/4 or 1/2. This is the simplified power of the equation. Hence, the equation is simplified to 5 to the power of 1 over 2. or square root of 5. Answer is C.</span>
4 0
3 years ago
To which set of numbers does the number belong?
Maslowich
Integers are whole numbers that can be negative or positive. Irrational numbers are numbers with repeating ends while natural numbers are positive whole numbers only. rational numbers are fractions. hence the answer to this problem is D. 
6 0
4 years ago
The average score on a biology test was 72.1 (1 repeats). write the average score using a fraction.
Yuri [45]
72 \frac{1}{9}  1÷9 = 111....   2÷9 = 222.... and so on.

The proof is a little more difficult.

Think of all those repeating ones as a variable - let's call it n

so n= .111111......... repeating

How can we get a single one of those ones to jump across the decimal and be on the left side.   We can multiply all of those ones by 10.

10n (ten times the original number) = 1.1111111  (ones still go on forever)

Now here is the interesting part.  Let's take all the repeating ones in the first number we made away from the second number.

10n = 1. 1111111......
<u>-  n  =  .  1111111....
</u>9n   = 1    (all of the repeaters are gone and only the one we moved to the left
                   of the decimal is left)

Now let's divide by 9 to get n by itself
<u>9n</u>   = <u>1
</u>9        9

And voila!   n = 1/9

So to repeat 72.111... written as a fraction is 72\frac{1}{9}


6 0
4 years ago
54. Find <img src="https://tex.z-dn.net/?f=y%5E%7B%5Cprime%7D" id="TexFormula1" title="y^{\prime}" alt="y^{\prime}" align="absmi
Stella [2.4K]

Step-by-step explanation:

Take the natural log of both sides:

ln ({x}^{y} ) = ln ({y}^{x} )

Logarithm rules allow you to bring down the exponents:

yln(x) = xln(y)

Now differentiate. We will have to implicitly differentiate 'y' since it is a function of 'x'. Both sides require the product rule:

\frac{dy}{dx} ln(x) +  \frac{y}{x}  = ln(y) +  \frac{x}{y}  \frac{dy}{dx}

Isolate the terms that have y' since that is what we want:

\frac{dy}{dx} ln(x) -  \frac{x}{y}  \frac{dy}{dx}= ln(y) - \frac{y}{x}

Factor out y' to get:

\frac{dy}{dx}( ln(x) -   \frac{x}{y})= ln(y) - \frac{y}{x}

Therefore:

\frac{dy}{dx} =  \frac{ln(y) -  \frac{y}{x} }{ln(x) -  \frac{x}{y} }

7 0
2 years ago
Recently, a nurse commented that when a patient calls the medical advice line claiming to have the flu, the chance that he or sh
anyanavicka [17]
9 people have the flu
6 0
3 years ago
Other questions:
  • Write the expression without radicals, using only positive exponents
    12·2 answers
  • Brett is 75 feet from the base of a building. he measures the angle of elevation to the top of the building and records it as 80
    6·1 answer
  • What is the answer using order of operations??
    15·2 answers
  • On average 43 min an
    11·1 answer
  • 1 What is the volume of a rectangular prism made up of 72 unit cubes?
    7·1 answer
  • PLEASE HURRY-When Melissa is playing soccer she makes 2 goals out of every 12 shots on goal. How many times would you expect her
    10·1 answer
  • Find the VOLUME of the cylinder.<br> Show your work.
    13·1 answer
  • ..................................<br><br>......
    6·1 answer
  • Plz help me with math again am so bad at it
    14·1 answer
  • How to find constant of proportionality
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!