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denis23 [38]
3 years ago
7

A dog is on a 5 ft leash staked to the ground. If he can rotate around the stake, forming a circle, what is the area of the gras

s he can cover? Use 3.14 for π.
Mathematics
1 answer:
Zanzabum3 years ago
7 0

Answer:

78.5 ft²

Step-by-step explanation:

In this situation, the dog's 5 ft leash is the radius of the circle that he forms.

So, the radius is 5.

Use the area formula, A = \pir². Plug in 5 as r, and 3.14 as \pi

A = \pir²

A = (3.14)(5²)

A = (3.14)(25)

A = 78.5

So, the area of the grass he can cover is 78.5 ft²

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4 1/2 + 1 + 2 + 1 1/2 + 4 + 1/2
mafiozo [28]
Your answer would be 17 1/2
7 0
3 years ago
The fairy tale spectacular is coming to town. Admission to the fair costs $42.50 and each ride costs $.65. You have $60 to spend
galina1969 [7]

Part A: 42.50+0.65x<60

Part B: You can enjoy maximum 26 rides at the fairy tale spectacular.

Step-by-step explanation:

Given,

Admission cost to fair = $42.50

Cost of each ride = $0.65

Amount you can spend = $60

Let,

x be the number of rides you can take.

Admission fair + Cost of each ride*number of rides < Amount you can spend

Part A: write an inequality that represents this situation.

42.50+0.65x<60

Part B: solve the inequality to determine the maximum number of rides you can enjoy at the fairy tale spectacular.

42.50+0.65x

Dividing both sides by 0.65

\frac{0.65x}{0.65}

Rounding off to nearest whole number;

x<27

Less than 27 means, you cannot take 27 rides, therefore,

You can enjoy maximum 26 rides at the fairy tale spectacular.

Keywords: inequality, division

Learn more about inequalities at:

  • brainly.com/question/10629017
  • brainly.com/question/10633485

#LearnwithBrainly

7 0
3 years ago
Verify the identity and explain how cot(x- pi/2)= -tan x
pav-90 [236]

Answer:

First, let's recall some usefull information:

- cot(x) = 1/tg(x) = cos(x)/sin(x)

- tan(x) = sin(x)/cos(x)

We also know that:

- cos(x - pi/2) = sin(x)

- sin(x - pi/2) = -cos(x)

Now we can use those relationships and get:

cot(x - pi/2) = cos(x - pi/2)/sin(x -pi/2) = sin(x)/-cos(x) = -tan(x)

So we have verified the identity, and explained step by step why the identity is true.

8 0
3 years ago
2x-y=0; y=x-2<br><br> Substitution
Contact [7]

Answer:

x=-2, y=-4. (-2, -4).

Step-by-step explanation:

2x-y=0

y=x-2

------------

2x-(x-2)=0

2x-x+2=0

x+2=0

x=0-2

x=-2

y=-2-2=-4

7 0
3 years ago
Read 2 more answers
Engh
Gennadij [26K]

Answer:

7m

Step-by-step explanation: bc i said

7 0
3 years ago
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