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Liono4ka [1.6K]
3 years ago
7

The dog’s leash is 60 inches long. If the dog walks back and forth with its leash pulled tight while the leash is tied to the li

ght post, it will walk in part of a circle. If the dog’s leash rotates through 150° , how far does the dog walk ?
Arc Length=_______________
Mathematics
1 answer:
labwork [276]3 years ago
5 0

Answer:

150.08 inches

Step-by-step explanation:

The question simply requires that we find the length of the arc that the dog walks.

Its leash rotates through 150° and the length of the leash (radius) is 60 inches.

The length of an arc is given as:

L = α/360 * 2πR

where α = angle of arc

R =radius

Therefore:

L = 150/360 * 2 * π * 60

L = 150.08 inches

The dog walks 150.08 inches

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AS ALWAYS, DUE TODAY! Pls and thanks. NOTE- Legit answers only! Legit answers= Brainliest, 5.0 stars, and a Thanks.
Vesna [10]

Answer:

x=105 and y=190

Step-by-step explanation:

4x+1y=610, and x+y=295 ; x= 105 and y=190

8 0
3 years ago
Read 2 more answers
My son, Garrett, is 11 years old and has a piggy bank that he wants to fill. He started with 5 one dollar bills. Every Saturday
Debora [2.8K]

Answer:

1) M(x) = 5 + 3x

2) Dependent variable; 3 dollar bills

Independent variable: chores

3) Range is continuous

Domain is discrete

4) Range: 0 ≤ x ≤ 10

Domain: 5 ≤ M ≤ 35

Step-by-step explanation:

We are told he started with 5 number of $1 dollar bills and that every Saturday, he earns 3 more $1 dollar bill.

Thus, total number of $1 bills earned after x number of Saturdays(weekly) is;

M(x) = 5 + 3x

After 10 weeks, total number is;

M(10) = 5 + 3(10)

M(10) = 35

The dependent variable is the 3 more dollar bills earned each Saturday because it depends on chores he completed. While the independent variable is the chores because it doesn't depend on anything.

After 10 weeks, the range and domain will be;

Range: 0 ≤ x ≤ 10

For the; Domain:

For x = 1, M(0) = 5 + 3(0) = 5

M(10) = 35

Thus;

Domain: 5 ≤ M ≤ 35

The range could be all numbers in the interval from 0 to 10. Thus, it is continuous.

Whereas, the domain doesn't contain all the numbers in the interval from 5 to 35. Thus it is Discrete.

8 0
3 years ago
John is playing a game with a standard deck of playing cards. He wants to draw a jack on the first try. Which of the following s
Tatiana [17]

Answer:

d

Step-by-step explanation:

It is a 1/13 chance but even if you shuffle and replace it, its still a 1/13 chance.

4 0
3 years ago
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Divide 6.1 and 51.24
tatiyna

Answer:

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hope this helped

8 0
2 years ago
Read 2 more answers
How to you solve g, 2/5g = 3/5
Romashka [77]
2/5g=3/5 multiply both sides by the reciprocal of 2/5 g=(3/5) (5/2) g=3/2
3 0
3 years ago
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