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
F is between E and G, EF=2x-2, EG=6x+10, and FG=6x. Find x.
BartSMP [9]

Answer:

x = 6

Step-by-step explanation:

Given that F is between E and G , then

EF + FG = EG , substitute values

2x - 2 + 6x = 6x + 10 , that is

8x - 2 = 6x + 10 ( subtract 6x from both sides )

2x - 2 = 10 ( add 2 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

4 0
3 years ago
James is two years younger than twice his sister Kate’s Age. Together their ages add up to 19. What is each of their ages?
andreev551 [17]

James'age : 12, Kate's age : 7

<h3>Further Explanation </h3>

One variable linear equation is an equation that has a variable and the exponent number is one. Can be stated in the form:

\large{\boxed{\bold{ax=b}}}

ax + b = c, where a, b, and c are constants, x is a variable

Whereas the two-variable linear equation is a linear equation that has 2 variables and the exponent is one

Can be stated in the form:

\large{\boxed{\bold{ax+by=c}}}

x, y = variable

In the statement of the task:

  • James is two years younger than twice his sister Kate’s Age can be stated in the equation: James (J) = 2K (Kate) - 2  ⇒equation 1
  • Together their ages add up to 19. The equation: J + K = 19 .... 2 ---> J = 19 - K  ⇒equation 2

So the solution is:

Equation 2 is entered into equation 1 so that it becomes:

19-K = 2K-2

21 = 3K

K = 7

because J + K = 19, then the value of J = 19-7 = 12

<h3>Learn more</h3>

the slope-intercept form of the linear equation

brainly.com/question/1945934

a graph of a linear equation

brainly.com/question/1505806

system of linear equations

brainly.com/question/11544167

Keywords : Age, variable, linear equation

4 0
3 years ago
Convert to standard form: F(x) = 2x + 4
mote1985 [20]
The answer will be F=2x/x + 4/x
7 0
3 years ago
Explanatory writing that explores the relationship between an action and its consequence is:
laila [671]
The answer is D. Cause and effect
8 0
3 years ago
What the factors of 40 with a sum of -22? *
Andru [333]

Answer:

Why is 90 the sum of all factors of 40, including 40? The factors of the number 40 are: 1, 2, 4, 5, 8, 10, 20, 40. If you add them up, you will get the total of 90.

Step-by-step explanation:

2. Given the points A, B, C, D, calculate:

(a) the angle B of the triangle ABC

(b) the area of the triangle ABC

(c) the median BE of the triangle ABC

(d) the height AH of the triangle ABC

(e) the volume of tetrahedron ABCD

(f) the point E so that ABCE is a parallelogram.

A(-1, 2, -3), B(4, -1, 0), C(2, 1, -2), D( 3,4,5)​

3 0
2 years ago
Read 2 more answers
Other questions:
  • John can complete a paper route in 20 minutes. Steve can complete the same route in 30 minutes. How long will it take them to co
    8·2 answers
  • Two step equation, <br>1/2x + 13=9
    12·1 answer
  • The area of a square is 36 square centimeters. A rectangle has the same perimeter as the square. The length of the rectangle is
    8·1 answer
  • There are 16.5 feet in a rod. How many rods are there if you have 148.5 feet?
    13·2 answers
  • Evaluate each expression 35 - (-44)
    10·2 answers
  • What roles do factor markets and product markets play in the economy
    12·1 answer
  • Clue is a board game in which you must deduce three details surrounding a murder. In the original game of Clue, the guilty perso
    11·1 answer
  • Solve for X <br><br>Could you show me what steps to do that leads to the answer​
    14·2 answers
  • The math department is putting together an order for new calculators. The student are asked what model and color they prefer
    11·1 answer
  • Five students bought supplies. Three students each bought 3 pencils and an eraser. Two students each bought a pen and 2 pencils.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!