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
nalin [4]
3 years ago
12

The largest possible circle is cut out of a square whose side length is 8 feet. What will be the approximate area, in square fee

t, of the remaining board? ( A=3.14r2)
Mathematics
1 answer:
valentina_108 [34]3 years ago
4 0
<h3>Therefore the area of remaining board  =13.76 square feet</h3>

Step-by-step explanation:

Given , The length of side of the square is 8 feet.

Since a circle is inscribed in the square. Then the diameter of the circle is equal to the length of side of the square .

Therefore the diameter of the circle is = 8 feet.

Radius of the circle is(r) = \frac{8}{2} feet = 4 feet

The area of the circle is= 3.14 r²

                                       = 3.14 × 4² square feet

                                      = 50.24 square feet

The area of the square  is = side × side

                                          = 8×6 square feet

                                          =64 square feet

Therefore the area of remaining board = (64- 50.24)square feet

                                                                 =13.76 square feet

You might be interested in
Suppose that $2000 is invested at a rate of 2.6% , compounded semiannually. Assuming that no withdrawals are made, find the tota
EleoNora [17]

Answer:

$2,589.52

Step-by-step explanation:

A = P(1 + \dfrac{r}{n})^{nt}

We start with the compound interest formula above, where

A = future value

P = principal amount invested

r = annual rate of interest written as a decimal

n = number of times interest is compound per year

t = number of years

For this problem, we have

P = 2000

r = 0.026

n = 2

t = 10,

and we find A.

A = $2000(1 + \dfrac{0.026}{2})^{2 \times 10}

A = $2589.52

8 0
3 years ago
Read 2 more answers
30 POINTS!!
Anuta_ua [19.1K]
Answer is D


Step by step explanation
7 0
3 years ago
Assume that the probability of a driver getting into an accident is 7.6%, the average cost of an accident is $16,412.05, and the
arlik [135]

Answer:

1,352.32

Step-by-step explanation:

If you take 7.6 and multiply it to 16,412.05 (.076)(16,412.05), you get 1,247.32. You then add the overhead cost of 105 to get 1352.32. (Apex verified too)

5 0
3 years ago
Read 2 more answers
TO TRANSMIT INFORMATION ON THE INTERNET, LARGE FILES ARE BROKEN INTO PACKETS OF SMALLER SIZES. EACH PACKET HAS 1,500 BYTES OF IN
stich3 [128]

Answer:

<u>A.</u> <u>It would be needed 20 packets to transmit 30,000 bytes of information and B. 45'000,000 (45 million) of bytes could be transmitted in 30,000 packets.</u>

Step-by-step explanation:

1. Let's review the information provided to us for solving the question:

Size of each packet of information = 1,500 bytes

Number of packets = P

Number of bytes of information = B

2. Let's answer the questions:

A. How many packets would be needed to transmit 30,000 bytes of information?

P = 30,000 ÷ 1,500

P = 20

<u>It would be needed 20 packets to transmit 30,000 bytes of information</u>

B. How much information could be transmitted in 30,000 packets?

B = 30,000 * 1,500

B = 45'000,000

<u>45'000,000 (45 million) of bytes could be transmitted in 30,000 packets.</u>

Note: Same answer provided to question 14037480, answered by me.

7 0
3 years ago
Consider the differential equation: xy′(x2+7)y=cos(x)+e3xy. Put the differential equation into the form: y′+p(x)y=g(x), determin
icang [17]

Answer:

Linear and non-homogeneous.

Step-by-step explanation:

We are given that

\frac{xy'}{(x^2+7)y}=cosx+\frac{e^{3x}}{y}

We have to convert into y'+P(x)y=g(x) and determine P(x) and g(x).

We have also find type of differential equation.

y'=\frac{(x^2+7)y}{x}(cosx+\frac{e^{3x}}{y}}

y'=\frac{(x^2+7)cosx}{x}y+\frac{(x^2+7)e^{3x}}{x}

y'-\frac{cosx(x^2+7)}{x}y=\frac{e^{3x}(x^2+7)}{x}

It is linear differential equation because  this equation is of the form

y'+P(x)y=g(x)

Compare it with first order first degree linear differential equation

y'+P(x)y=g(x)

P(x)=-\frac{cosx (x^2+7)}{x},g(x)=\frac{e^{3x}(x^2+7)}{x}

\frac{dy}{dx}=\frac{(x^2+7)(ycosx+e^{3x})}{x}

Homogeneous equation

\frac{dy}{dx}=\frac{f(x,y)}{g(x,y)}

Degree of f and g are same.

f(x,y)=(x^2+7)(ycosx+e^{3x}),g(x,y)=x

Degree of f and g are not same .

Therefore, it is non- homogeneous .

Linear and non-homogeneous.

3 0
3 years ago
Other questions:
  • Which answer best describes the shape of this distribution?
    14·2 answers
  • the coordinates of the vertices of triangle ABC are a (-2,2), b (5,-3), c (-4,-1). Identify the perimeter of triangle ABC.
    8·1 answer
  • What is the answer when the fraction 1/9 is divided by 9?
    5·2 answers
  • Use triangleABC to find the value of sin B
    7·2 answers
  • PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
    7·1 answer
  • 1. There are 25 students who started computer programming in elementary school and 25 students who started computer programming
    9·1 answer
  • How do you solve 8(y-7) = -16
    5·2 answers
  • These prisms are similar. Find the surface
    10·1 answer
  • A number is multiplied by 6, then 8 is subtracted from the product. The result is
    12·1 answer
  • A scientist crosses two pea plants that are
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!