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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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I really need help <br> Dz,2 of X is<br> (0-4)<br> (2,-2)<br> (6,2)
kvv77 [185]

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Answer:

  (6,2)

Step-by-step explanation:

As is often the case with multiple-choice problems, you don't actually need to know the detailed working. You just need to know what the answer looks like.

When point X is dilated by a factor of 2 with point Z as the center of dilation, it will move to a location twice as far from Z. You can tell by looking at the graph that X' will be in the first quadrant, above and to the right of the location of X. The only sensible answer choice is ...

  X' = (6, 2)

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<em>Additional comment</em>

X is a distance of X-Z = (4, 0) -(2, -2) = (2, 2) from Z Doubling that will put the image point a distance of 2(2, 2) = (4, 4) from Z. When this is added to Z, we find ...

  X' = Z + (4, 4) = (2+4, -2+4) = (6, 2)

8 0
3 years ago
A seamstress uses 12 yards of fabric to make 3 costumes for students in the chorus. How many yards will she need to make costume
Step2247 [10]

Answer:

100 yards

Step-by-step explanation:

It takes 4 yards of fabric to make a costume for one student.  She needs to make costumes for every student in chorus, so you just multiply this number by 25 and get 100 yards.

7 0
3 years ago
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Determine if the triangles, ΔUVW and ΔBAC, are similar. If so, identify the similarity criterion.
alexandr402 [8]

Answer:

B). SAS similarity.

Step-by-step explanation:

In Δ WVU & ΔCAB,

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&

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7 0
3 years ago
Khan Academy
zvonat [6]

Part 1

Answer: -9

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

Explanation:

Let's focus on evaluating   first. We need to look at the table and locate f(x) = 13. So we're looking in the f(x) row where 13 shows up. That's in the second to last column. Right above that we have x = 5

This means f(5) = 13 and   The inverse undoes the f(x) function. So the input x and output y values swap places. This is why we're reading the table in reverse.

<em>We can replace all of </em>f^{-1}<em> </em>(13)<em>  with 5 to go from </em>f^{-1} (f^{-1} (13))<em> to </em>f^{-1} (5)<em> </em>

<em>Then we repeat the process of using the table. Locate 5 in the f(x) row. This is in the last column. The value above that is x = -9.</em>

<em>So f(-9) = 5 and </em>f^{-1} (5)=-9

<em>Overall, </em>f^{-1} (f^{-1} (13))=-9

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

Part 2

Answer:  -13

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

Explanation:

Same idea as before. Locate 8 in the f(x) row. The value above this is x = -13

<em>This means f(-13) = 8 and </em>f^{-1}(8) =-13

7 0
3 years ago
Fraction has a value thats equal to 7/8
kvv77 [185]
If you mean whats equivalent it's........21/24
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4 years ago
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