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Aleks04 [339]
3 years ago
6

A goat is tethered to a stake in the ground with a 5-m rope. The goat can graze to the full length of the rope a full 360 degree

s around the stake. How much area does the goat have in which to graze?
Mathematics
1 answer:
Nina [5.8K]3 years ago
5 0
The length of the rope in this case becomes the radius of the circle that the goat is able to graze. The area of the circle is calculated through the equation,
                            A = πr²
Substituting,
                              A = π(5m)² = 78.54 m²
Thus, the area that the goat is able to graze is equal to 78.54 m². 
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Derive the equation of the parabola with a focus at (-5,5) and a directix of y = -1
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Answer:

D

Step-by-step explanation:

From any point (x, y) on the parabola the focus and directrix are equidistant

Using the distance formula

\sqrt{(x+5)^2+(y-5)^2} = | y + 1 |

Squaring both sides

(x + 5)² + (y - 5)² = (y + 1)^2 , that is

(y + 1)² = (x + 5)² + (y - 5)² ← subtract (y - 5)² from both sides

(y + 1)² - (y - 5)² = (x + 5)² ← expand left side and simplify

y² + 2y + 1 - y² + 10y - 25 = (x + 5)²

12y - 24 = (x + 5)² ← factor left side

12(y - 2) = (x + 5)² ← divide both sides by 12

y - 2 = \frac{1}{12} (x + 5)² ← add 2 to both sides

y = \frac{1}{12} (x + 5)² + 2

or

f(x) = \frac{1}{12} (x + 5)² + 2 → D

7 0
2 years ago
Find BC<br>AC = 7<br>BD = 7.5<br>DE = 1.5<br>AE = 11​
tatuchka [14]

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CE=AE-AC=4

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3 0
3 years ago
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Ann [662]

Answer: Its very simple to solve slopes

Step-by-step explanation:

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SashulF [63]

135 is the answer hope this helps

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algol [13]

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Divide 140 by 2\frac{4}{5} to represent the amount of hours he worked.

To make dividing easier, 2\frac{4}{5} can also represent 2.8 as a decimal.

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He has worked 50 hours after completing 140 rows of grapes.

4 0
2 years ago
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