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Harman
7 days ago
5

A rancher’s herd of 250 sheep grazes over a 40-acre pasture. He would like to find out how many sheep are grazing on each acre o

f the pasture at any given time, so he has some images of the pasture taken by the state department of agriculture’s aerial photography division. Here are three samples of the images.
Sample 1 4
Sample 2 1
Sample 3 9
If the sheep were equally "spread out" across all of the 40 acres, how many sheep would you expect to find on average on each acre?
Mathematics
2 answers:
AnnZ [3.9K]7 days ago
7 0

Response:

0.16 acres for each sheep

Explanatory steps:

With a total of 40 acres allocated to 250 sheep, you would calculate the area per sheep by dividing the total acres by the sheep count. This can be represented as:

40/250 =....

lawyer [4K]7 days ago
4 0

Response:

On average, there will be approximately 6.25 sheep per acre.

Explanatory steps:

250 divided by 40 equals 6.25.

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angela fully charged her laptop, then unplugged it and tracked the battery level at certain times under constant use. the table
Leona [4187]

Response:

%=-7t

solution -7% per 1:00

Detailed Steps:

I hope that this clarifies your question.

3 0
15 days ago
Decide whether the set A of positive integers divisible by 17 and B the set of positive integers
Inessa [3926]

Answer:

  • Yes; refer to the question's clarification and the detailed answer below for more information.

Explanation:

Sets are in bijection if there is a bijective function connecting them.

This implies that the question can be interpreted as: can sets A and B be related via a bijective function?

A bijective function must be both injective and surjective, which means it is reversible.

Injective indicates that each element in the domain corresponds uniquely to an element in the codomain.

Surjective denotes that every element in the codomain relates to exactly one element in the domain.

This ensures there are no unmatched elements.

If we consider set A as the function's domain and set B as the codomain.

The core question then becomes: can the set {17, 34, 51, 68, 85,...} be in bijection with the set {11, 22, 33, 44, 55,...}?

Notice that the two sets share no common elements, as 17 and 34 are coprime.

A bijective function can only be established between sets A and B or B and A if both sets possess the same cardinality (number of elements).

Indeed, the cardinality of sets A and B is identical: both sets are of equal size, affirming that a bijective relationship exists between them.

4 0
7 days ago
Ollie has installed security lights on the side of his house that are activated by a sensor. The sensor is located at point C di
Leona [4187]

Result:

20.19°

Detailed explanation:

Refer to the attached diagram related to the question. We need to determine <CAB

Utilizing the sine rule on triangle ABC:

\frac{4.5}{sin15^0} = \frac{6}{sin

cross-multiply

4.5 * sin

Thus, the angle <CAB measures 20.19°

8 0
12 days ago
Will works 7 hours a day, 6 days a week.
PIT_PIT [3949]

For one day:
= £9.20 × 7
= £64.40

For six days:
£64.40 × 6 = £386.40

After sharing with his mom:
£386.40/7 × 5
= £55.20 × 5
= £276

To purchase a car worth £1932:
£1932/£276 = 7

Thus, he needs 7 weeks to save enough for the car priced at £1932.

6 0
9 days ago
Gene starts from home and travels 3 miles north to the shopping mall. From the shopping mall, he travels 2 miles west to the lib
lawyer [4039]

Answer: The most significant angle created during his journey appears at the mall, between his house and the library.

Step-by-step explanation:

Hi, since this scenario forms a right triangle (refer to the attached image), the angle between his house and the library measures 90°.

For a right triangle, the total of its internal angles equals 180°, making the right angle (90°) the largest among them.

Thus, the angle at the mall, between his house and the library, is indeed the largest angle formed during his trip.

If you need further clarification or have questions, feel free to ask!

7 0
4 days ago
Read 2 more answers
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