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Neko [114]
3 years ago
14

WORTH 20 POINTS NEED ASAP

Mathematics
1 answer:
Papessa [141]3 years ago
5 0
Do you mind drawing it out first and it would help myself answer this
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A dog is leashed to the corner of a house with a 20 ft long leash. How much running area does the dog have? Round your answer to
11111nata11111 [884]

Answer:

The dog's running area is approximately 942 feet².

Step-by-step explanation:

The dog is leashed to a fixed point, the leash has a length of 20 ft, therefore he can rotate around that point at the maximum distance equal to the length of the leash. This pattern forms a circle, but there is an obstruction, which is the corner of the house. This obstruction takes an arc of the original circle, so the running area of the dog is the area of the whole circle minus the area of the arc formed by the corner of the house.

\text{dog's area} = \text{circle's area} - \text{arc's area}\\\\\text{dog's area} = pi*(20^2) - \frac{90}{360}*pi*(20^2)\\\\\text{dog's area} = \frac{270}{360}*pi*(400)\\\\\text{dog's area} = 942.477\text{ feet}^2

The dog's running area is approximately 942 feet².

3 0
3 years ago
Slope 4.2; y-intercept (0,3.4)
umka2103 [35]

Answer:I don't know if you're asking for equation or not cause you didn't mention the question so I'm just gonna write down the equation.

y=4.2x+3.4

Use this formula➡️y=mx+b

m is slope, b is y-intercept , x and y are the points like (0, 3.4)

You said it's the y-intercept but it's not. it's just a point on the graph

Step-by-step explanation:

5 0
4 years ago
Four times the greater of two consecutive integers is 18 more than three times the lesser integer. What are the integers?
maw [93]
This is how I would solve it:

1st # = x                 4(x+1)=3x+18
2nd # = x+1              4x+4=3x+18
                                     4x=3x+14
                                       x=14

To check: 15x4=60; 60-42=18.       <u>1st # = 14; 2nd # = 15.</u>
5 0
3 years ago
4. The perimeter of a church window is 60 inches. If the window is in the shape of a regular pentagon, what is the length of eac
mihalych1998 [28]
I think the answer is C
5 0
3 years ago
In 2000, the total population of the U.S. was 281.4 million people. In 2010, it was 308.7 million people. What is the average ra
kifflom [539]

Answer:

2.73 million people per year

Step-by-step explanation:

Turn sentences into coordinates/points:

In 2000, 281.4 million people

  • (x₁, y₁) = (2000, 281.4)

In 2010, 308.7 million people

  • (x₂, y₂) = (2010, 308.7)

Rate of population per year:

\sf \dfrac{y_2 - y_1}{x_2- x_1} \ \  where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points

\rightarrow \sf \dfrac{308.7-281.4}{2010-2000}

\rightarrow \sf 2.73 \ million \ people

5 0
2 years ago
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