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
Alla [95]
3 years ago
8

A can of soup has a diameter of 2.5 inches and a height of 4 inches. What is the area of the label for the can? Round your answe

r to the nearest tenth.
Mathematics
1 answer:
il63 [147K]3 years ago
4 0

Answer:

Step-by-step explanation:

Diameter d = 2.5 inches

Height h = 4 inches

Lateral area = πdh =π(2.5)(4) = 10π ≈ 31.4 square inches

You might be interested in
|1/2b-8|=|1/4b-1|<br> b=____ and ____
Deffense [45]

Answer:

  b = 12 and 28

Step-by-step explanation:

The absolute value equation |1/2b-8| = |1/4b-1| resolves to a piecewise linear function with three pieces. There are two solutions.

<h3>Domains</h3>

The absolute value function on the left has a turning point where its value is zero:

  1/2b -8 = 0

  b -16 = 0

  b = 16

The absolute value function on the right has a turning point where its value is zero:

  1/4b -1 = 0

  b -4 = 0

  b = 4

For b > 16, both absolute value functions are identity functions. In this domain, the equation is ...

  1/2b -8 = 1/4b -1

For 4 < b < 16, the function on the left negates its argument, so the equation in this domain is ...

  -(1/2b -8) = 1/4b -1

For b < 4, both functions negate their arguments, so the equation in this domain is ...

  -(1/2b -8) = -(1/4b -1)

For the purpose of finding the value of b, this is effectively identical to the equation for b > 16. (The value of b does not change if we multiply both sides of the equation by -1.)

<h3>Solutions</h3>

<u>Domain b < 4 ∪ 16 < b</u>

  1/2b -8 = 1/4b -1

  2b -32 = b -4 . . . . . . . . multiply by 4

  b = 28 . . . . . . . . . . . . add 32-b to both sides

This solution is in the domain of the equation, so is one of the solutions to the original equation.

<u>Domain 4 < b < 16</u>

  -(1/2b -8) = 1/4b -1 . . . . equation in this domain

  -2b +32 = b -4 . . . . . . multiply by 4

  36 = 3b . . . . . . . . . . . add 2b+4 to both sides

  12 = b . . . . . . . . . . . . divide by 3

This solution is in the domain of the equation, so is the other solution to the original equation.

<h3>Graph</h3>

For the purposes of the graph, we have define the function g(b) to be the difference of the two absolute value functions. The solutions are found where g(x) = 0, the x-intercepts. The graph shows those to be ...

  b = 12  and  b = 28

__

<em>Additional comment</em>

Defining g(b) = |1/2b-8| -|1/4b-1|, we can rewrite it as ...

  g(b)=\begin{cases}7-\dfrac{1}{4}b&\text{for }b < 4\\-\dfrac{3}{4}b+9&\text{for }4\le b < 16\\\dfrac{1}{4}b-7&\text{for }16\le b\end{cases}

Then the solutions are the values of b that make g(b) = 0.

4 0
2 years ago
In a certain state, fishing licenses are in the form of LLL NN, where L stands for a letter of the alphabet and N stands for a o
Pavel [41]
<h2>Answer:</h2>

There are 1757600 possibilities.

<h2>Step-by-step explanation:</h2>

In a certain state, fishing licenses are in the form of LLL NN

L stands for a letter of the alphabet (a to z)

N stands for a one-digit number from 0 to 9.

Now, for the series LLL, 3 alphabets are placed that can be any from a to z. This means at each place, 26 letters can be placed.

Similarly, for NN, 2 numbers are placed that can be any, between 0 and 9. At each place 0 to 9 can be placed.

Hence, the total possible outcomes will be :

26\times26\times26\times10\times10=1757600

Therefore the answer is 1757600 possibilities.

5 0
3 years ago
Read 2 more answers
6. Line a: y - 3x = 4<br> Line b: y = 3x + 5<br> Line c: y - 4x = 3<br><br> Which lines are parallel
kramer

Answer:

Line a and b

Step-by-step explanation:

6 0
2 years ago
What is the distance from the origin to point P graphed on the complex plane below?
11111nata11111 [884]

Answer:

Sqrt 29

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
elie is now 4 times as old as her son. in 5 years time shes going to be 3 times as old as her son. how old is ellies son now?
tigry1 [53]

Answer:

Her son is 10 years old.

Step-by-step explanation:

Let son be x

Ellie is 4x

In 5 years time: Her son = x + 5

Ellie = 4x + 5

Given that she will then be 3 times as old as her son: 4x + 5 = 3(x + 5)

Solve x: 4x + 5 = 3(x + 5) ,4x + 5 = 3x + 15

x = 10

5 0
3 years ago
Other questions:
  • 0.0090 in scientific notation
    15·1 answer
  • Which expressions are equivalent to 4(3j+(-4))-9
    14·1 answer
  • 3. A branch breaks off the top of a giant sequoia tree and falls straight to the ground. The branch's height in
    8·1 answer
  • Solve 8p = 40 using mental math<br><br> A 32 B6 C 5 D 4
    5·2 answers
  • 1. Which scatterplot suggests a linear relationship between x and y?
    13·1 answer
  • QUESTION 2<br>Simplify the following<br>a5×a7​
    7·2 answers
  • What’s 10 percent of 40 percent
    11·2 answers
  • Leland hit the target 45 times in 50
    13·1 answer
  • Jesse has four friends over to study. He bakes four pizzas to share equally for lunch. His father takes half of one when the piz
    9·1 answer
  • In an 80/20 mortgage, what is the first mortgage used for?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!