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
Zolol [24]
3 years ago
10

A semicircle is cut out of a rectangular paperboard 24in long and 18n wide, as shown below. What is the perimeter of the paperbo

ard that remains after the semicircle is removed? (Use the value 3.14 for π , and do not round your answer. Be sure to include the correct unit in your answer.)

Mathematics
1 answer:
svet-max [94.6K]3 years ago
5 0

Answer:

Perimeter of the paperboard that remains after the semicircle is removed = 94.26 in

Step-by-step explanation:

Watch the attached figure of how the semi circle is cut out of the rectangular paperboard.

Length = 24 in

Width = 18 in

Radius of the semi circle = Half of the width of the paperboard = \frac{18}{2} = 9 in

1) Circumference of the semi circle = π*radius

= 3.14*9

= 28.26 in

2) Perimeter of the paperboard that remains after the semicircle is removed

= Top + Left + Bottom + Right Circumference of the semi circle

= 24 + 18 + 24 + 28.26

= 94.26 in


You might be interested in
The inches of rainfall in the rainforest is represented by the function f(x) = 3(x-2)+ 4. What is the average rate of change bet
nata0808 [166]

Answer:

The average rate of change of rainfall in the rainforest between 2nd year and 6th year = <u>3 inches</u>

Step-by-step explanation:

Given function representing inches of rainfall:

f(x)=3(x-2)+4

To find the average rate of change between the 2nd year and the 6th year.

Solution:

The average rate of change between interval [a,b] is given as :

\frac{f(b)-f(a)}{b-a}

For the given function we need to find the average rate of change between 2nd year and 6th year. [2,6]

So, we have:

f(2)=3(2-2)+4=3(0)+4=4

f(6)=3(6-2)+4=3(4)+4=12+4=16

Thus, average rate of change will be:

\frac{f(6)-f(2)}{6-2}

⇒ \frac{16-4}{6-2}

⇒ \frac{12}{4}

⇒ 3

Thus, the average rate of change of rainfall in the rainforest between 2nd year and 6th year = 3 inches

8 0
3 years ago
Katie bought a dozen donuts for $1.99. Write an equation which shows how to find the price (p) of each donut
zimovet [89]
1.99 divided by 12 would give u about 0.66$
3 0
3 years ago
PLZ HELP ASAP!!! I WILL NAME BRAINLIEST!! 65 POINTS!! (:
astra-53 [7]

Answer:

1. 44 + 3x

2. 2y - 8

3. x - 6

15. 5\frac{7}{8}

16. 6\frac{1}{3}

17. 3\frac{7}{9}

Step-by-step explanation:

1. 7² + 2² - 5 - 4 + 3x

   49 + 4 - 5 - 4 + 3x

       53 - 5 - 4 + 3x

           48 - 4 + 3x

              44 + 3x

2. - y - 5 + y + 2(2y-y) - 3

     -y - 5 + y + 4y - 2y -3

      -y - 5 + 5y - 2y - 3

          4y - 2y - 5 - 3

                2y - 8

3. 5x -3 - x - 3(x + 1²)

    5x - 3 - x - 3x - 3

      4x - 3x - 3 -3

           x - 3 -3

             x - 6

15.  7\frac{1}{4} - 1\frac{3}{8}

   = 7 \frac{2}{8} - 1\frac{3}{8}

   = \frac{58}{8} - \frac{11}{8}

   = \frac{47}{8} → 5\frac{7}{8}

16.  9 - 2\frac{2}{3}

   = \frac{54}{6} - 2\frac{4}{6}

   = \frac{54}{6} - \frac{16}{6}

   = \frac{38}{6} → 6\frac{2}{6} → 6\frac{1}{3}

17.  10\frac{1}{3}  - 6\frac{5}{9}

   =  10 \frac{3}{9} - 6\frac{5}{9}

   =    \frac{93}{9} - \frac{59}{9}

   =     \frac{34}{9} → 3\frac{7}{9}

Hope this helps.

6 0
3 years ago
Simplify: (45.22 – 73.91) – |65.85 – 79.15| A. -47.41 B. -41.99 C. 40.18 D. 45.45
Xelga [282]
Are you sure you wrote it right because it should be -42.99

Show me a picture of the equation
6 0
3 years ago
Read 2 more answers
You are constructing a tangent line from a point outside a given circle to the circle is to draw a circle and a point outside th
Alja [10]
I think its C I am not sure hope it helps 

6 0
3 years ago
Read 2 more answers
Other questions:
  • Your salary is $25,000 you just received a 2.5% pay increase for the year. What is your new salary?
    6·1 answer
  • What is -1/3 (9x + 42) - 5x = -70
    10·1 answer
  • Which equation is a proportion
    10·2 answers
  • X y<br> 2 5<br> 4 10<br> 8 20<br> 10 25<br> Find the slope.
    15·1 answer
  • PLEASE ANSWER ASAP!!!
    9·2 answers
  • Please help me with this question I don't understand it !??​
    5·1 answer
  • HELP ASAP 20 POINTS BRAINLIEST
    11·1 answer
  • Given: h(t) = 2t - 5,
    9·1 answer
  • I need help with this ignore the blank quiz
    10·2 answers
  • How do you use a number line from least to greatest
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!