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faltersainse [42]
3 years ago
13

I'm having trouble in this one, Please help me

Mathematics
1 answer:
mars1129 [50]3 years ago
8 0

Answer:

a. -2/12

b. -0.1

c. 1/9

Step-by-step explanation:

-2/12 = -1/6 < -1/8

-0.1 = -1/10 > -1/8

and 1/9 is the only positive fraction, making it simpler to place.

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a goat tethered to a stake by a rope has grazed the meadow over an area of 12.56msqare around it stretching the rope. i) what is
Nikolay [14]

Answers:

length of rope = 2 meters

perimeter of meadow = 12.56 square meters

=========================================================

Explanation:

Assuming there are no structures (buildings, fences, etc) to get in the way of the goat, this means the goat's area that it can roam is a circle with radius r

The area of the circle is pi*r^2 which is equal to 12.56 square meters

pi*r^2 = 12.56

3.14*r^2 = 12.56

r^2 = 4

r = sqrt(4)

r = 2

The radius of the circle is 2 meters. This is the length of the rope. If the goat goes out as far as it can go, and tries to move left/right, then it will trace out a circle of radius 2. This is assuming the rope is kept fully taut the entire time.

The perimeter of the circle is the same as the circumference

circumference = 2*pi*r

circumference = 2*pi*2

circumference = 4*pi

circumference = 4*3.14

circumference = 12.56

The circumference and area are the same because r^2 = 4 and 2*r = 4 when r = 2. For any other positive r value, the area and circumference will be different values.

So in short, if a friend says that the area of a circle is the same as its perimeter, then you can immediately conclude the radius is 2.

Side note: throughout all of this solution, I used the approximation pi = 3.14 though pi has more decimal digits

7 0
3 years ago
Read 2 more answers
Three less than the product of a number and two increased by five
natima [27]
The expression can be written as:

(2x + 5)  - 3

or:

5 + (2x - 3)
________________________
and simplified to: "2x + 2" .
_________________________

4 0
3 years ago
Solve the system of equations below.<br><br><br> A. <br><br> B. <br><br> C. <br><br> D.
timofeeve [1]

Answer:

  A.  (-7 -2)

Step-by-step explanation:

You can eliminate y by multiplying the first equation by 7 and subtracting 6 times the second equation:

  7(-3x +6y) -6(5x +7y) = 7(9) -6(-49)

  -21x +42y -30x -42y = 63 +294 . . . . eliminate parentheses

  -51x = 357 . . . . . . . . collect terms

  x = -7 . . . . . . . divide by -51. This matches answer choice A.

7 0
3 years ago
a large container holds 5 gallons of water. it begins leaking at a constant rate. after 15 minutes, the container has 2 gallons
Scrat [10]

Answer:

1 gallon ever 5 minutes here is the fraction form if you need it for a graph 3/15 or 1/5

Step-by-step explanation:

if there is 3 gallons gone and it is constant then on gallon goes every 5 minutes 15/3=5

8 0
3 years ago
Please help asap 32 pts
Over [174]
-8-5(-4)
-8+20
f(-4)=12
6 0
3 years ago
Read 2 more answers
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