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muminat
3 years ago
13

A goat is tethered by a 6 metre rope to the outside corner of a shed measuring 4 metres by 5 metres in a grassy field. What area

of grass can the goat graze? ...?
Mathematics
1 answer:
Naily [24]3 years ago
8 0
(3/4)∗π∗62=27π
Also , the goat can reach around the corners by 2 on the short sides and 1 on long side.creating 2 90 degree sectors of additional grazing area.(1/4)∗π∗22=π
(1/4)∗π∗12=π/4
27π+π+π/4=28.25π
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Bezzdna [24]

The domain is all real numbers except -6 and 0. Hence, domain D: {x ∈ ℝ| x ≠ –6, 0}

Hence the range is all real numbers except -3 and 3. Hence, range R: (–∞, –3) ∪ (3, ∞)

Given the following functions:

f(x)=\frac{9}{x^2-9}\\g(x)=x+3

First we need to get the composite function f(g(x))

f(g(x)) = f(x+3)\\f(x+3)=\frac{9}{(x+3)^2-9} \\f(x+3)=\frac{9}{x^2+6x+9-9} \\f(x+3)=\frac{9}{x^2+6x} \\

Get the domain

The domain the values of x for which the function exists. The function cannot exists at when x = -6 and x = 0

  • Hence the domain is all real numbers except -6 and 0. Hence, domain D: {x ∈ ℝ| x ≠ –6, 0}

The range is the value of y for which the function exists. The function cannot exists at when x = -6 and x = 0

  • Hence the range is all real numbers except -3 and 3. Hence, range R: (–∞, –3) ∪ (3, ∞)

Learn more here: brainly.com/question/20838649

6 0
3 years ago
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7 0
2 years ago
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faltersainse [42]
I’m learning this to lol I think the answer is c because the absolute value is always positive right ? And the opposite of -0.89 would be positive 0.89 !
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To find the number of red bricks used, you can create a part to part to whole ratio from the simple ratio of red to grey brick they give.

Then, use the total to create an equivalent ratio with the actual total number of bricks (140).

<u>5 red </u>    <u>100 red</u>
<u>2 grey</u> =  <u>40 grey</u>
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<u>
</u>Each time, the simple ratio was multiplied by 20 to get the actual totals for each color.
<u>
</u>There were 100 red bricks used.<u>


</u>
6 0
3 years ago
Describe how the graph of the equation y = 3x – 4 would change if the slope was changed to
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9514 1404 393

Answer:

  D  The new line would be less steep than the original line.

Step-by-step explanation:

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The steepness of a line increases as the magnitude of the slope increases. The slope 1/3 is less than 3, so a line with that slope is less steep than a line with a slope of 3.

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