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
juin [17]
4 years ago
9

A lunette is a semicircular window that is sometimes placed above a doorway or above a rectangular window. A certain lunette has

a diameter of 40 in. To the nearest square inch, what is the area of the lunette?
The area of the lunette is ≈ ____ in2.

Mathematics
1 answer:
soldier1979 [14.2K]4 years ago
8 0

A lunette is a semi-circle, which means that it is one half of a circle. To find its area, we can find the area of the whole circle and divide it by two.

Area of a circle: A = pi x r^2

r = 40 / 2 = 20

A = pi x 20^2

A = 400pi / 2 = 200pi

200pi = 628.32

The area of the lunette is approximately 628 in^2.

Hope this helps!! :)

You might be interested in
An aquarium is in the shape of a cube. The aquarium can hold between 4096 cubic inches and 8000 cubic inches of water. What are
pantera1 [17]

Answer: The possible side lengths are either 16 inches or 20 inches

Step-by-step explanation: The aquarium is in the shape of a cube which suggests that, all dimensions (length, width and height) are equal.

If it can hold 4096 cubic inches of water, then the volume of water in it can be calculated as follows;

Volume = L x W x H

Knowing that all three dimensions are the same the formula can be re-written as;

Volume = L³

4096 = L³

Add the cube root sign to both sides of the equation

∛4096 = ∛L³

16 = L

Also if it can hold up to 8000 cubic inches of water, then the volume of water in it can be calculated as;

Volume = L³

8000 = L³

Add the cube root sign to both sides of the equation

∛8000 = ∛L³

20 = L

Therefore, if the aquarium can hold between 4096 and 8000 cubic inches of water, then the side lengths are either 16 inches or 20 inches

3 0
3 years ago
The French Club is sponsoring a bake sale. If their goal is to raise at least $140, how many pastries must they sell at $3.50 ea
Schach [20]
It will be b because you will have to time $3.50P140= 490
8 0
3 years ago
Evaluate each expression if a = 3 , b = 5 and c=1 b-c
Nezavi [6.7K]

Answer:

4

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Step-by-step explanation:

<u>Step 1: Define</u>

a = 3, b = 5, c = 1

b - c

<u>Step 2: Evaluate</u>

  1. Substitute:                      5 - 1
  2. Subtract:                         4
7 0
2 years ago
Consider the following division of polynomials.
Bond [772]

x^4=x^2\cdot x^2. Multiplying the denominator by x^2 gives

x^2(x^2+2x+8)=x^4+2x^3+8x^2

Subtracting this from the numerator gives a remainder of

(x^4+x^3+7x^2-6x+8)-(x^4+2x^3+8x^2)=-x^3-x^2-6x+8

-x^3=-x\cdot x^2. Multiplying the denominator by -x gives

-x(x^2+2x+8)=-x^3-2x^2-8x

and subtracting this from the previous remainder gives a new remainder of

(-x^3-x^2-6x+8)-(-x^3-2x^2-8x)=x^2+2x+8

This last remainder is exactly the same as the denominator, so x^2+2x+8 divides through it exactly and leaves us with 1.

What we showed here is that

\dfrac{x^4+x^3+7x^2-6x+8}{x^2+2x+8}=x^2-\dfrac{x^3+x^2+6x-8}{x^2+2x+8}

=x^2-x+\dfrac{x^2+2x+8}{x^2+2x+8}

=x^2-x+1

and this last expression is the quotient.

To verify this solution, we can simply multiply this by the original denominator:

(x^2+2x+8)(x^2-x+1)=x^2(x^2-x+1)+2x(x^2-x+1)+8(x^2-x+1)

=(x^4-x^3+x^2)+(2x^3-2x^2+2x)+(8x^2-8x+8)

=x^4+x^3+7x^2-6x+8

which matches the original numerator.

3 0
3 years ago
Read 2 more answers
the length of a rectangle is 5ft more than twice the width and teh area of the rectabgle is 42ft squared. what are the dimension
lara [203]
The width is 3.5 and the length is 12

4 0
3 years ago
Other questions:
  • In a packing plant, one of the machines packs jars into a box. A sales rep for a packing machine manufacturer comes into the pla
    15·1 answer
  • Why did so many Southern cotton planters move to Texas in the mid-1800s?
    14·1 answer
  • Which of the following pairs are perpendicular? Select all that apply.
    15·1 answer
  • My goal rides his skateboard from 3:15 p.m. to 4:25 p.m. how long does Michael ride his skateboard
    15·2 answers
  • If c(x) = 5/(x - 2) d(x) = x + 3 , what is the domain of (co)(x) ?
    13·1 answer
  • Find the weight in pounds of a 140-kilogram person. Round to the nearest hundredth​
    7·1 answer
  • –4(5x – 9) + 6(2x + 5)?
    5·1 answer
  • Find a number c such that the polynomial
    7·1 answer
  • Which of these points is on circle with a center at (0, 0) that includes the point (-1, -3)?
    9·1 answer
  • Which of these health care plans do federal and state governments offer?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!