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sveticcg [70]
3 years ago
7

Ella’s dog Miley loves to play outside. Ella’s 12 ft leash is tied to a stake in the ground. If she walks around in a circle, ho

w far did she walk?
74.5

144.5

75.4 ft

72.3 ft
Mathematics
2 answers:
Sholpan [36]3 years ago
6 0

Answer:

C. 75.4 ft

Step-by-step explanation:

We have been given that Ella’s dog Miley loves to play outside. Ella’s 12 ft leash is tied to a stake in the ground.

The leash will be radius of the circle and the distance covered by the dog will be equal to circumference of circle.

\text{Circumference}=2\pi r

\text{Circumference}=2\pi*12\text{ ft}

\text{Circumference}=24\pi\text{ ft}

\text{Circumference}=24*3.14\text{ ft}

\text{Circumference}=75.36\text{ ft}

\text{Circumference}\approx 75.4\text{ ft}

Therefore, the distance traveled would be 75.4 feet.

sukhopar [10]3 years ago
3 0
75.4 will be the answer..
as perimeter will be 2*pie*R

hope it helped
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Solve ln 2 + ln x = 5. Round to the nearest thousandth, if possible.
azamat

Answer:

The  value of x nearest to thousandths is, 74.207

Step-by-step explanation:

Solve :  \ln 2 + \ln x = 5

\ln represents the logarithmic function with base e.

Using logarithmic properties:

  • \ln (mn) = \ln m + \ln n
  • \ln x = a , then x = e^a

\ln 2 + \ln x = 5

Apply the logarithmic properties; we have

\ln 2x = 5

then;

2x = e^5

or

2x=148.41315910258

Divide both sides by 2 we get;

x = 74.2065796

Therefore, the value of x nearest to thousandths is, 74.207

3 0
3 years ago
A baseball team's total wins and losses for one season is 162. The number of wins is 6 less than 2 times the number of losses. W
aivan3 [116]

Answer:

x + y = 162 and x = 2y - 6

Step-by-step explanation:

Let the total wins be x

Let the total loss be y

If a baseball team's total wins and losses for one season is 162, this can be expressed as;

x + y = 162 ....... 1

If the number of wins is 6 less than 2 times the number of losses, this is expressed as;

2 times the number of losses = 2y

6 less than 2 times the number of losses = 2y - 6

Now, If the number of wins is 6 less than 2 times the number of losses this is expressed as;

x = 2y - 6 .... 2

Hence the required system of equation are;

x + y = 162 and x = 2y - 6

8 0
2 years ago
I need help with numbers 20,21,and22
julsineya [31]

Answer:

20) the answer is -43

21) the answer is 25

22)the answer is -5

Step-by-step explanation:

20) \frac{p(p+n^{2})}{6}

n=-7

p=-6

we have:

\frac{-6*(-6+(-7)^{2})}{6}\\\\\frac{-6*(-6+49)}{6}\\\\\frac{-6*(43)}{6}\\\\\frac{-258}{6} \\-43

21) mp-(p-(m-n))

m= -1     n=-6   p=-10

-1*-10-(-10-(-1-(-6)))

10-(-10-(5))

10-(-15)

10+15=25

22) m-\frac{m+m}{2} - n

m=1   n=5

1- \frac{1+1}{2} -5

1- 2/2 -5

1-1-5 =-5

6 0
3 years ago
The problem is in the picture
creativ13 [48]
It should be the first answer choice between those two
6 0
3 years ago
*** Anyone who answers randomly for points WILL be reported ***
xeze [42]

One example is the equation 2x+3x = 5x because the left hand side combines to form the right hand side. This equation is said to be an identity, which is always true for any real number you can think of. For example, if x = 3, then,

2x+3x = 5x

2*3+3*3 = 5*3 ... replace every x with 3

6 + 9 = 15

15 = 15

We end up with a true equation. This will happen regardless of what x value we pick. Therefore, it has infinitely many solutions.

4 0
2 years ago
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