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amid [387]
3 years ago
13

a piece of land 120 ft by 240 ft contains a circular garden. surrounding the garden, there is a circular fence that is 20 ft in

diameter. what is the area of the piece of land that is not part of the garden
Mathematics
1 answer:
damaskus [11]3 years ago
8 0

the area of the piece of land that is not part of the garden is 28,486ft^2 .

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

Here we have , a piece of land 120 ft by 240 ft contains a circular garden. surrounding the garden, there is a circular fence that is 20 ft in diameter.  We need to find what is the area of the piece of land that is not part of the garden . Let's find out:

Let's calculate area of land and circular garden , and in order to find the area of the piece of land that is not part of the garden we will subtract area of circular garden from land !

Area of Land:

Area of land is given by

⇒ length(width)

⇒ 120(240)

⇒ 28,880ft^2

Area of Garden:

Area of circular garden given by

⇒ \pi r^2

⇒ \pi (\frac{D}{2})^2

⇒ \pi (\frac{20}{2})^2

⇒ \pi (10)^2

⇒ 100\pi

⇒ 100(3.14)

⇒ 314ft^2

Hence , the area of the piece of land that is not part of the garden is 28,880-314 = 28,486 . Therefore , the area of the piece of land that is not part of the garden is 28,486ft^2 .

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A local trucking company fitted a regression to relate the travel time (days) of its shipments as a function of the distance tra
alina1380 [7]

Answer:

1.734

Step-by-step explanation:

Given that:

A local trucking company fitted a regression to relate the travel time (days) of its shipments as a function of the distance traveled (miles).

The fitted regression is Time = −7.126 + .0214 Distance

Based on a sample size n = 20

And an Estimated standard error of the slope = 0.0053

the critical value for a right-tailed test to see if the slope is positive, using ∝ = 0.05 can be computed as follows:

Let's determine the degree of freedom df = n - 1

the degree of freedom df = 20 - 2

the degree of freedom df =  18

At the level of significance ∝ = 0.05 and degree of freedom df =  18

For a right tailed test t, the critical value from the t table is :

t_{0.05, 18} = 1.734

5 0
3 years ago
Please help me in this question.I need it right now!!!
zheka24 [161]

Answer:

X=102 y=288 =390

Step-by-step explanation:

X=50+32=82=180-82=102

Y= 50+32=82=360-82=288

Total answer is =390

6 0
2 years ago
A room has dimensions of 8 mx 6 mx 4 m.
natali 33 [55]

Answer:

Price of paint = Rs 16,640

Step-by-step explanation:

As 3 dimensions are given so the third one must be for ceiling.

So in this case, we can find area as follows:

Area = 2(length * width) + 2(length * height)+ 2(height * width)........eq1

Lets say:

Length = 8m

Width = 6m

Height = 4m

So putting value in eq1 we get:

Area = 2(8*6) + 2(8*4) + 2(4*6)

Area = 2(48) + 2(32)+ 2(24)

Area =96 + 64 + 48

Area = 208 sq. m

Now for calculating price:

Price of paint = 208 * 80

Price of paint = Rs 16,640

I hope it will help you!

5 0
3 years ago
cindy,jamal,and monique are dividing a piece of land using the lone divider method.after flipping coins monique has been selecte
lukranit [14]

9514 1404 393

Answer:

The (piece, perceived values) are ...

  • Cindy, (3, 48%)
  • Jamal, (1, 39%)
  • Monique, (2, 33%)

Step-by-step explanation:

We assume the values and questions are as shown in the attachment.

1. After the division, Cindy bids only on piece 3, and Jamal bids only on piece 1. Hence the appropriate final division is ...

  Cindy: piece 3

  Jamal: piece 1

  Monique: piece 2

__

2. Monique divides the land so that the value of each piece to her is 33 1/3%. That is her perceived value for the piece she gets.

7 0
3 years ago
Given r(x) = 11/ (x - 42)
julsineya [31]

For a given function f(x) we define the domain restrictions as values of x that we can not use in our function. Also, for a function f(x) we define the inverse g(x) as a function such that:

g(f(x)) = x = f(g(x))

<u>The restriction is:</u>

x ≠ 4

<u>The inverse is:</u>

y = 4 + \sqrt{\frac{11}{x} }

Here our function is:

f(x) = \frac{11}{(x - 4)^2}

We know that we can not divide by zero, so the only restriction in this function will be the one that makes the denominator equal to zero.

(x - 4)^2 = 0

x - 4 = 0

x = 4

So the only value of x that we need to remove from the domain is x = 4.

To find the inverse we try with the general form:

g(x) = a + \sqrt{\frac{b}{x} }

Evaluating this in our function we get:

g(f(x)) = a + \sqrt{\frac{b}{f(x)} }  = a + \sqrt{\frac{b*(x - 4)^2}{11 }}\\\\g(f(x)) = a + \sqrt{\frac{b}{11 }}*(x - 4)

Remember that the thing above must be equal to x, so we get:

g(f(x)) = a + \sqrt{\frac{b}{11 }}*(x - 4) = x\\\\{\frac{b}{11 }} = 1\\{\frac{b}{11 }}*4 - a = 0

From the two above equations we find:

b = 11

a = 4

Thus the inverse equation is:

y = 4 + \sqrt{\frac{11}{x} }

If you want to learn more, you can read:

brainly.com/question/10300045

3 0
2 years ago
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